{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:58:04Z","timestamp":1760241484613,"version":"build-2065373602"},"reference-count":159,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2018,3,7]],"date-time":"2018-03-07T00:00:00Z","timestamp":1520380800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"MEINCOP","award":["FPA2016- 78022-P"],"award-info":[{"award-number":["FPA2016- 78022-P"]}]},{"DOI":"10.13039\/100005910","name":"AEI","doi-asserted-by":"publisher","award":["FPA2016-78645- P","SEV-2016-0597"],"award-info":[{"award-number":["FPA2016-78645- P","SEV-2016-0597"]}],"id":[{"id":"10.13039\/100005910","id-type":"DOI","asserted-by":"publisher"}]},{"name":"UNAM PAPIIT","award":["IN111115"],"award-info":[{"award-number":["IN111115"]}]},{"DOI":"10.13039\/501100000921","name":"COST","doi-asserted-by":"publisher","award":["CA15108","CA16201"],"award-info":[{"award-number":["CA15108","CA16201"]}],"id":[{"id":"10.13039\/501100000921","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Finite Unified Theories (FUTs) are \r\n          \r\n            \r\n              \r\n                N\r\n                =\r\n                1\r\n              \r\n            \r\n          \r\n         supersymmetric Grand Unified Theories, which can be made finite to all orders in perturbation theory, based on the principle of the reduction of couplings. The latter consists of searching for renormalization group invariant relations among parameters of a renormalizable theory holding to all orders in perturbation theory. FUTs have proven very successful so far. In particular, they predicted the top quark mass one and half years before its experimental discovery, while around five years before the Higgs boson discovery, a particular FUT was predicting the light Higgs boson in the mass range \u223c121\u2013126 GeV, in striking agreement with the discovery at LHC. Here, we review the basic properties of the supersymmetric theories and in particular finite theories resulting from the application of the method of reduction of couplings in their dimensionless and dimensionful sectors. Then, we analyze the phenomenologically-favored FUT, based on SU(5). This particular FUT leads to a finiteness constrained version of the Minimal SUSY Standard Model (MSSM), which naturally predicts a relatively heavy spectrum with colored supersymmetric particles above 2.7 TeV, consistent with the non-observation of those particles at the LHC. The electroweak supersymmetric spectrum starts below 1 TeV, and large parts of the allowed spectrum of the lighter might be accessible at CLIC. The FCC-hhwill be able to fully test the predicted spectrum.<\/jats:p>","DOI":"10.3390\/sym10030062","type":"journal-article","created":{"date-parts":[[2018,3,7]],"date-time":"2018-03-07T12:55:23Z","timestamp":1520427323000},"page":"62","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["The LHC Higgs Boson Discovery: Updated Implications for Finite Unified Theories and the SUSY Breaking Scale"],"prefix":"10.3390","volume":"10","author":[{"given":"Sven","family":"Heinemeyer","sequence":"first","affiliation":[{"name":"Instituto de F\u00edsica Te\u00f3rica, Universidad Aut\u00f3noma de Madrid Cantoblanco, 28049 Madrid, Spain"},{"name":"Campus of International Excellence UAM+CSIC, Cantoblanco, 28049 Madrid, Spain"},{"name":"Instituto de F\u00edsica de Cantabria (CSIC-UC), E-39005 Santander, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Myriam","family":"Mondrag\u00f3n","sequence":"additional","affiliation":[{"name":"Instituto de F\u00edsica, Universidad Nacional Aut\u00f3noma de M\u00e9xico, A.P. 20-364, Mexico City 01000, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gregory","family":"Patellis","sequence":"additional","affiliation":[{"name":"Physics Department, National Technical University, 157 80 Zografou, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nicholas","family":"Tracas","sequence":"additional","affiliation":[{"name":"Physics Department, National Technical University, 157 80 Zografou, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"George","family":"Zoupanos","sequence":"additional","affiliation":[{"name":"Physics Department, National Technical University, 157 80 Zografou, Greece"},{"name":"Max-Planck Institut f\u00fcr Physik, F\u00f6hringer Ring 6, D-80805 M\u00fcnchen, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,3,7]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.physletb.2012.08.020","article-title":"Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC","volume":"716","author":"Aad","year":"2012","journal-title":"Phys. Lett. B"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1016\/j.physletb.2012.08.021","article-title":"Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC","volume":"716","author":"Chatrchyan","year":"2012","journal-title":"Phys. Lett. B"},{"key":"ref_3","unstructured":"ATLAS Collaboration, and Aad, G. (2013). Combined Measurements of the Mass and Signal Strength of the Higgs-Like Boson with the ATLAS Detector Using up to 25 fb\u22121 of Proton-Proton Collision Data, ATLAS Collaboration. ATLAS-CONF-2013-014."},{"key":"ref_4","first-page":"81","article-title":"Observation of a new boson with mass near 125 GeV in pp collisions at \n          \n            \n              \n                s\n\t\t\t\t\n            \n          \n         = 7 and 8 TeV","volume":"1306","author":"Chatrchyan","year":"2013","journal-title":"JHEP"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"661","DOI":"10.1103\/PhysRevLett.31.661","article-title":"Is Baryon Number Conserved?","volume":"31","author":"Pati","year":"1973","journal-title":"Phys. Rev. Lett."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"438","DOI":"10.1103\/PhysRevLett.32.438","article-title":"Unity of All Elementary Particle Forces","volume":"32","author":"Georgi","year":"1974","journal-title":"Phys. Rev. Lett."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1103\/PhysRevLett.33.451","article-title":"Hierarchy of Interactions in Unified Gauge Theories","volume":"33","author":"Georgi","year":"1974","journal-title":"Phys. Rev. Lett."},{"key":"ref_8","unstructured":"Carlson, C.E. (1975). Particles and Fields: Williamsburg 1974. AIP Conference Proceedings No. 23, American INstitute of Physics."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1016\/0003-4916(75)90211-0","article-title":"Unified Interactions of Leptons and Hadrons","volume":"93","author":"Fritzsch","year":"1975","journal-title":"Ann. Phys."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"150","DOI":"10.1016\/0550-3213(81)90522-8","article-title":"Softly Broken Supersymmetry and SU (5)","volume":"193","author":"Dimopoulos","year":"1981","journal-title":"Nucl. Phys. B"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1007\/BF01573998","article-title":"Naturalness in Supersymmetric Guts","volume":"11","author":"Sakai","year":"1981","journal-title":"Z. Phys. C"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"447","DOI":"10.1016\/0370-2693(91)91641-8","article-title":"Comparison of grand unified theories with electroweak and strong coupling constants measured at LEP","volume":"260","author":"Amaldi","year":"1991","journal-title":"Phys. Lett. B"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"66","DOI":"10.1016\/0550-3213(78)90214-6","article-title":"Aspects of the Grand Unification of Strong, Weak and Electromagnetic Interactions","volume":"135","author":"Buras","year":"1978","journal-title":"Nucl. Phys. B"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1016\/0550-3213(96)00433-6","article-title":"Testing gauge Yukawa unified models by M(t)","volume":"479","author":"Kubo","year":"1996","journal-title":"Nucl. Phys. B"},{"key":"ref_15","first-page":"3911","article-title":"Unification beyond GUTs: Gauge Yukawa unification","volume":"27","author":"Kubo","year":"1997","journal-title":"Acta Phys. Polon. B"},{"key":"ref_16","first-page":"2013","article-title":"Exact finite and gauge-Yukawa unified theories and their predictions","volume":"30","author":"Kobayashi","year":"1999","journal-title":"Acta Phys. Polon. B"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1016\/0550-3213(79)90162-7","article-title":"Spontaneous Generation of Massive Multiplets and Central Charges in Extended Supersymmetric Theories","volume":"149","author":"Fayet","year":"1979","journal-title":"Nucl. Phys. B"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1007\/BF01206187","article-title":"Reduction in the Number of Coupling Parameters","volume":"97","author":"Zimmermann","year":"1985","journal-title":"Commun. Math. Phys."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"569","DOI":"10.1007\/BF01221218","article-title":"Relation between Effective Couplings for Asymptotically Free Models","volume":"97","author":"Oehme","year":"1985","journal-title":"Commun. Math. Phys."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1007\/BF01650445","article-title":"Finite unified models","volume":"60","author":"Kapetanakis","year":"1993","journal-title":"Z. Phys. C"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1016\/0550-3213(94)90296-8","article-title":"Reduction of couplings and heavy top quark in the minimal SUSY GUT","volume":"424","author":"Kubo","year":"1994","journal-title":"Nucl. Phys. B"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1016\/0370-2693(94)01396-T","article-title":"Gauge Yukawa unification in asymptotically nonfree theories","volume":"342","author":"Kubo","year":"1995","journal-title":"Phys. Lett. B"},{"key":"ref_23","unstructured":"Kubo, J., Mondragon, M., Olechowski, M., and Zoupanos, G. (arXiv, 1995). Gauge Yukawa unification and the top\u2013bottom hierarchy, arXiv."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"98","DOI":"10.1016\/0920-5632(94)00793-U","article-title":"Finite unified theories and the top quark mass","volume":"37","author":"Mondragon","year":"1995","journal-title":"Nucl. Phys. Proc. Suppl. C"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"523","DOI":"10.1016\/S0370-2693(96)01323-8","article-title":"Perturbative unification of soft supersymmetry breaking terms","volume":"389","author":"Kubo","year":"1996","journal-title":"Phys. Lett. B"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"913","DOI":"10.1142\/S0217751X86000332","article-title":"Nonrenormalization Theorems of Chiral Anomalies and Finiteness in Supersymmetric Yang-Mills Theories","volume":"1","author":"Piguet","year":"1986","journal-title":"Int. J. Mod. Phys. A"},{"key":"ref_27","first-page":"321","article-title":"Vanishing Beta Functions in N = 1 Supersymmetric Gauge Theories","volume":"61","author":"Lucchesi","year":"1988","journal-title":"Helv. Phys. Acta"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1002\/prop.2190450203","article-title":"All order finiteness in N = 1 SYM theories: Criteria and applications","volume":"45","author":"Lucchesi","year":"1997","journal-title":"Fortsch. Phys."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"294","DOI":"10.1016\/0370-2693(95)00271-L","article-title":"Renormalization group invariance and universal soft supersymmetry breaking","volume":"349","author":"Jack","year":"1995","journal-title":"Phys. Lett. B"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1007\/s002200100396","article-title":"Scheme independence of the reduction principle and asymptotic freedom in several couplings","volume":"219","author":"Zimmermann","year":"2001","journal-title":"Commun. Math. Phys."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1016\/j.physletb.2013.11.043","article-title":"Reduction of Couplings in the MSSM","volume":"728","author":"Tracas","year":"2014","journal-title":"Phys. Lett. B"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1016\/0370-2693(84)90095-9","article-title":"Soft Breaking of Two Loop Finite N = 1 Supersymmetric Gauge Theories","volume":"148","author":"Jones","year":"1984","journal-title":"Phys. Lett. B"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"372","DOI":"10.1016\/0370-2693(94)90156-2","article-title":"Soft supersymmetry breaking and finiteness","volume":"333","author":"Jack","year":"1994","journal-title":"Phys. Lett. B"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1016\/0550-3213(92)90189-I","article-title":"Duality anomaly cancellation, minimal string unification and the effective low-energy Lagrangian of 4-D strings","volume":"382","author":"Ibanez","year":"1992","journal-title":"Nucl. Phys. B"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1016\/0370-2693(93)90078-V","article-title":"Model independent analysis of soft terms in effective supergravity and in string theory","volume":"306","author":"Kaplunovsky","year":"1993","journal-title":"Phys. Lett. B"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1016\/0550-3213(94)00068-9","article-title":"Towards a theory of soft terms for the supersymmetric Standard Model","volume":"422","author":"Brignole","year":"1994","journal-title":"Nucl. Phys. B"},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1016\/0370-2693(96)00489-3","article-title":"Problems for supersymmetry breaking by the dilaton in strings from charge and color breaking","volume":"380","author":"Casas","year":"1996","journal-title":"Phys. Lett. B"},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1016\/S0370-2693(97)00618-7","article-title":"Soft scalar mass sum rule in gauge Yukawa unified models and its superstring interpretation","volume":"405","author":"Kawamura","year":"1997","journal-title":"Phys. Lett. B"},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/S0550-3213(97)00765-7","article-title":"Constraints on finite soft supersymmetry breaking terms","volume":"511","author":"Kobayashi","year":"1998","journal-title":"Nucl. Phys. B"},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1016\/S0370-2693(98)00343-8","article-title":"Further all loop results in softly broken supersymmetric gauge theories","volume":"427","author":"Kobayashi","year":"1998","journal-title":"Phys. Lett. B"},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"407","DOI":"10.1016\/0550-3213(83)90340-1","article-title":"Instanton Effects in Supersymmetric Theories","volume":"229","author":"Novikov","year":"1983","journal-title":"Nucl. Phys. B"},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1016\/0370-2693(86)90810-5","article-title":"Beta Function in Supersymmetric Gauge Theories: Instantons Versus Traditional Approach","volume":"166","author":"Novikov","year":"1986","journal-title":"Phys. Lett. B"},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"5761","DOI":"10.1142\/S0217751X96002650","article-title":"Little miracles of supersymmetric evolution of gauge couplings","volume":"11","author":"Shifman","year":"1996","journal-title":"Int. J. Mod. Phys. A"},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/0550-3213(96)00148-4","article-title":"Gauge Yukawa unification in SO(10) SUSY GUTs","volume":"469","author":"Kubo","year":"1996","journal-title":"Nucl. Phys. B"},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1088\/1126-6708\/2008\/07\/135","article-title":"Confronting Finite Unified Theories with Low-Energy Phenomenology","volume":"807","author":"Heinemeyer","year":"2008","journal-title":"JHEP"},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"1430","DOI":"10.1016\/j.physletb.2012.12.042","article-title":"Finite Theories after the discovery of a Higgs-like boson at the LHC","volume":"718","author":"Heinemeyer","year":"2013","journal-title":"Phys. Lett. B"},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"969","DOI":"10.1002\/prop.201300017","article-title":"Finite Theories Before and After the Discovery of a Higgs Boson at the LHC","volume":"61","author":"Heinemeyer","year":"2013","journal-title":"Fortsch. Phys."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"1430032","DOI":"10.1142\/S0217751X14300324","article-title":"The LHC Higgs boson discovery: Implications for Finite Unified Theories","volume":"29","author":"Heinemeyer","year":"2014","journal-title":"Int. J. Mod. Phys. A"},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1143\/PTPS.86.215","article-title":"Reduction and Reparametrization of Quantum Field Theories","volume":"86","author":"Oehme","year":"1986","journal-title":"Prog. Theor. Phys. Suppl."},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"331","DOI":"10.1016\/0550-3213(85)90639-X","article-title":"Higgs and Top Mass from Reduction of Couplings","volume":"259","author":"Kubo","year":"1985","journal-title":"Nucl. Phys. B"},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1016\/0370-2693(89)90034-8","article-title":"New Results in the Reduction of the Standard Model","volume":"220","author":"Kubo","year":"1989","journal-title":"Phys. Lett. B"},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1016\/0370-2693(89)90160-3","article-title":"Reduction of Couplings in the Presence of Parameters","volume":"229","author":"Piguet","year":"1989","journal-title":"Phys. Lett. B"},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1007\/s002200100395","article-title":"Gauge and mass parameter dependence of renormalized Green\u2019s functions","volume":"219","author":"Breitenlohner","year":"2001","journal-title":"Commun. Math. Phys."},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"52","DOI":"10.1016\/0370-2693(74)90578-4","article-title":"A Lagrangian Model Invariant under Supergauge Transformations","volume":"49","author":"Wess","year":"1974","journal-title":"Phys. Lett. B"},{"key":"ref_55","doi-asserted-by":"crossref","first-page":"310","DOI":"10.1016\/0550-3213(74)90388-5","article-title":"Broken Supergauge Symmetry and Renormalization","volume":"76","author":"Iliopoulos","year":"1974","journal-title":"Nucl. Phys. B"},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1016\/0550-3213(75)90525-8","article-title":"Perturbation Calculations for the Scalar Multiplet in a Superfield Formulation","volume":"88","author":"Fujikawa","year":"1975","journal-title":"Nucl. Phys. B"},{"key":"ref_57","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1016\/0370-2693(84)91881-1","article-title":"Finiteness in Rigid Supersymmetric Theories","volume":"138","author":"Parkes","year":"1984","journal-title":"Phys. Lett. B"},{"key":"ref_58","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1016\/0370-2693(84)90598-7","article-title":"On Finite Quantum Field Theories","volume":"147","author":"Rajpoot","year":"1984","journal-title":"Phys. Lett. B"},{"key":"ref_59","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1007\/BF00677701","article-title":"Towards Finite Quantum Field Theories","volume":"25","author":"Rajpoot","year":"1986","journal-title":"Int. J. Theor. Phys."},{"key":"ref_60","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1016\/0370-2693(84)91734-9","article-title":"The Yukawa beta Function in N = 1 Rigid Supersymmetric Theories","volume":"137","author":"West","year":"1984","journal-title":"Phys. Lett. B"},{"key":"ref_61","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1016\/0370-2693(84)91663-0","article-title":"The Chiral Anomaly and a Class of Two Loop Finite Supersymmetric Gauge Theories","volume":"138","author":"Jones","year":"1984","journal-title":"Phys. Lett. B"},{"key":"ref_62","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1016\/0370-2693(85)91324-3","article-title":"Search for a Three Loop Finite Chiral Theory","volume":"160","author":"Jones","year":"1985","journal-title":"Phys. Lett. B"},{"key":"ref_63","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1016\/0370-2693(85)91357-7","article-title":"Three Loop Finiteness Conditions in N = 1 Superyang-mills","volume":"156","author":"Parkes","year":"1985","journal-title":"Phys. Lett. B"},{"key":"ref_64","doi-asserted-by":"crossref","first-page":"331","DOI":"10.1016\/0550-3213(75)90585-4","article-title":"Spontaneous Symmetry Breaking for Chiral Scalar Superfields","volume":"96","year":"1975","journal-title":"Nucl. Phys. B"},{"key":"ref_65","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1016\/0370-2693(74)90310-4","article-title":"Spontaneously Broken Supergauge Symmetries and Goldstone Spinors","volume":"51","author":"Fayet","year":"1974","journal-title":"Phys. Lett. B"},{"key":"ref_66","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1016\/0370-2693(88)90221-3","article-title":"Necessary and Sufficient Conditions for All Order Vanishing Beta Functions in Supersymmetric Yang-Mills Theories","volume":"201","author":"Lucchesi","year":"1988","journal-title":"Phys. Lett. B"},{"key":"ref_67","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1016\/0550-3213(75)90063-2","article-title":"Transformation Properties of the Supercurrent","volume":"87","author":"Ferrara","year":"1975","journal-title":"Nucl. Phys. B"},{"key":"ref_68","doi-asserted-by":"crossref","first-page":"428","DOI":"10.1016\/0550-3213(82)90499-0","article-title":"The Supercurrent in N = 1 Supersymmetrical Yang-Mills Theories. 1. The Classical Case","volume":"196","author":"Piguet","year":"1982","journal-title":"Nucl. Phys. B"},{"key":"ref_69","doi-asserted-by":"crossref","first-page":"447","DOI":"10.1016\/0550-3213(82)90500-4","article-title":"The Supercurrent in N = 1 Supersymmetrical Yang-Mills Theories. 2. Renormalization","volume":"196","author":"Piguet","year":"1982","journal-title":"Nucl. Phys. B"},{"key":"ref_70","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1016\/0370-2693(86)90770-7","article-title":"Nonrenormalization Theorems of Chiral Anomalies and Finiteness","volume":"177","author":"Piguet","year":"1986","journal-title":"Phys. Lett. B"},{"key":"ref_71","doi-asserted-by":"crossref","first-page":"3148","DOI":"10.1103\/PhysRevD.36.3148","article-title":"The Supercurrent and the Adler-bardeen Theorem in Coupled Supersymmetric Yang-Mills Theories","volume":"36","author":"Ensign","year":"1987","journal-title":"Phys. Rev. D"},{"key":"ref_72","unstructured":"Piguet, O. (arXiv, 1996). Supersymmetry, ultraviolet finiteness and grand unification, arXiv."},{"key":"ref_73","doi-asserted-by":"crossref","first-page":"449","DOI":"10.1016\/0550-3213(84)90487-5","article-title":"The Topological Meaning of Nonabelian Anomalies","volume":"243","author":"Ginsparg","year":"1984","journal-title":"Nucl. Phys. B"},{"key":"ref_74","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1016\/0550-3213(84)90322-5","article-title":"Consistent and Covariant Anomalies in Gauge and Gravitational Theories","volume":"244","author":"Bardeen","year":"1984","journal-title":"Nucl. Phys. B"},{"key":"ref_75","doi-asserted-by":"crossref","first-page":"477","DOI":"10.1016\/0550-3213(84)90259-1","article-title":"Chiral Anomalies, Higher Dimensions, and Differential Geometry","volume":"239","author":"Zumino","year":"1984","journal-title":"Nucl. Phys. B"},{"key":"ref_76","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1016\/0550-3213(95)00261-P","article-title":"Exactly marginal operators and duality in four-dimensional N = 1 supersymmetric gauge theory","volume":"447","author":"Leigh","year":"1995","journal-title":"Nucl. Phys. B"},{"key":"ref_77","first-page":"5459","article-title":"Higgs mass prediction in finite unified theories","volume":"34","author":"Mondragon","year":"2003","journal-title":"Acta Phys. Polon. B"},{"key":"ref_78","doi-asserted-by":"crossref","first-page":"646","DOI":"10.1007\/BF02729305","article-title":"Superfield Perturbation Theory and Renormalization","volume":"25","author":"Delbourgo","year":"1975","journal-title":"Nuovo Cim. A"},{"key":"ref_79","doi-asserted-by":"crossref","first-page":"142","DOI":"10.1016\/0550-3213(75)90078-4","article-title":"Feynman Rules for Superfields","volume":"86","author":"Salam","year":"1975","journal-title":"Nucl. Phys. B"},{"key":"ref_80","doi-asserted-by":"crossref","first-page":"429","DOI":"10.1016\/0550-3213(79)90344-4","article-title":"Improved Methods for Supergraphs","volume":"159","author":"Grisaru","year":"1979","journal-title":"Nucl. Phys. B"},{"key":"ref_81","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1016\/0550-3213(82)90512-0","article-title":"Soft Breaking of Supersymmetry","volume":"194","author":"Girardello","year":"1982","journal-title":"Nucl. Phys. B"},{"key":"ref_82","doi-asserted-by":"crossref","first-page":"5475","DOI":"10.1103\/PhysRevD.56.5475","article-title":"Exact results for soft supersymmetry breaking parameters in supersymmetric gauge theories","volume":"56","author":"Hisano","year":"1997","journal-title":"Phys. Rev. D"},{"key":"ref_83","doi-asserted-by":"crossref","first-page":"383","DOI":"10.1016\/S0370-2693(97)01277-X","article-title":"The Gaugino Beta function","volume":"415","author":"Jack","year":"1997","journal-title":"Phys. Lett. B"},{"key":"ref_84","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1016\/S0550-3213(98)81015-8","article-title":"Renormalizations in softly broken SUSY gauge theories","volume":"510","author":"Avdeev","year":"1998","journal-title":"Nucl. Phys. B"},{"key":"ref_85","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1016\/S0370-2693(99)00086-6","article-title":"Exploring softly broken SUSY theories via Grassmannian Taylor expansion","volume":"449","author":"Kazakov","year":"1999","journal-title":"Phys. Lett. B"},{"key":"ref_86","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1016\/S0370-2693(97)01561-X","article-title":"Finiteness of soft terms in finite N = 1 SUSY gauge theories","volume":"421","author":"Kazakov","year":"1998","journal-title":"Phys. Lett. B"},{"key":"ref_87","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1016\/S0370-2693(98)00270-6","article-title":"Renormalization invariance and the soft Beta functions","volume":"426","author":"Jack","year":"1998","journal-title":"Phys. Lett. B"},{"key":"ref_88","doi-asserted-by":"crossref","first-page":"148","DOI":"10.1016\/S0370-2693(99)01064-3","article-title":"RG invariant solutions for the soft supersymmetry breaking parameters","volume":"465","author":"Jack","year":"1999","journal-title":"Phys. Lett. B"},{"key":"ref_89","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1063\/1.1301389","article-title":"Finite and gauge-Yukawa unified theories: Theory and predictions","volume":"490","author":"Kobayashi","year":"1999","journal-title":"AIP Conf. Proc."},{"key":"ref_90","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1016\/S0370-2693(98)01182-4","article-title":"Infrared behavior of softly broken SQCD and its dual","volume":"441","author":"Karch","year":"1998","journal-title":"Phys. Lett. B"},{"key":"ref_91","doi-asserted-by":"crossref","first-page":"012095","DOI":"10.1088\/1742-6596\/171\/1\/012095","article-title":"Finite unified theories","volume":"171","author":"Mondragon","year":"2009","journal-title":"J. Phys. Conf. Ser."},{"key":"ref_92","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1016\/0370-2693(84)90121-7","article-title":"A Realistic Finite Unified Theory?","volume":"147","author":"Hamidi","year":"1984","journal-title":"Phys. Lett. B"},{"key":"ref_93","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1016\/0370-2693(84)90820-7","article-title":"A Two Loop Finite Supersymmetric SU(5) Theory: Towards a Theory of Fermion Masses","volume":"143","author":"Jones","year":"1984","journal-title":"Phys. Lett. B"},{"key":"ref_94","doi-asserted-by":"crossref","first-page":"66","DOI":"10.1016\/0370-2693(85)91356-5","article-title":"A Sensible Finite Su(5) Susy Gut?","volume":"156","author":"Leon","year":"1985","journal-title":"Phys. Lett. B"},{"key":"ref_95","doi-asserted-by":"crossref","first-page":"22002","DOI":"10.1103\/PhysRevLett.98.022002","article-title":"Estimate of \n          \n            \n\t\t\tB\n\t\t\t(\n\t\t\t\n\t\t\tB\n\t\t\t\u00af\n\t\t\t\n\t\t\t\u2192\n\t\t\t  \n\t\t\t X\n\t\t\t s\n\t\t\t \n\t\t\t\u03b3\n\t\t\t)\n\t\t\t\n          \n         at \n          \n            \n\t\t\tO\n\t\t\t(\n\t\t\t\n\t\t\t\u03b1\n\t\t\ts\n\t\t\t2\n\t\t\t\n\t\t\t)","volume":"98","author":"Misiak","year":"2007","journal-title":"Phys. Rev. Lett."},{"key":"ref_96","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/S0550-3213(98)00516-1","article-title":"Next-to-leading QCD corrections to B \u2192 X(s) gamma in supersymmetry","volume":"534","author":"Ciuchini","year":"1998","journal-title":"Nucl. Phys. B"},{"key":"ref_97","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1088\/1126-6708\/2000\/12\/009","article-title":"B \u2192 X(s gamma) in supersymmetry: Large contributions beyond the leading order","volume":"12","author":"Degrassi","year":"2000","journal-title":"JHEP"},{"key":"ref_98","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1016\/S0370-2693(01)00009-0","article-title":"b \u2192 s\u03b3 and supersymmetry with large tan \u03b2","volume":"499","author":"Carena","year":"2001","journal-title":"Phys. Lett. B"},{"key":"ref_99","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1016\/S0550-3213(02)00836-2","article-title":"Minimal flavor violation: An Effective field theory approach","volume":"645","author":"Giudice","year":"2002","journal-title":"Nucl. Phys. B"},{"key":"ref_100","unstructured":"Asner, D., Banerjee, S., Bernhard, R., Blyth, S., Bozek, A., Bozzi, C., Cassel, D.G., Cavoto, G., Cibinetto, G., and Coleman, J. (arXiv, 2010). Averages of b-hadron, c-hadron, and \u03c4-lepton properties, arXiv."},{"key":"ref_101","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1016\/S0370-2693(03)00561-6","article-title":"Relations between \u0394 M(s, d) and B(s, d) \u2192 \u03bc\n          \n            \n              \n                  \u03bc\n\t\t\t\t  \u00af\n                \n             \n          \n         in models with minimal flavor violation","volume":"566","author":"Buras","year":"2003","journal-title":"Phys. Lett. B"},{"key":"ref_102","doi-asserted-by":"crossref","first-page":"2103","DOI":"10.1140\/epjc\/s10052-012-2103-1","article-title":"Minimal Flavour Violation and Beyond","volume":"72","author":"Isidori","year":"2012","journal-title":"Eur. Phys. J. C"},{"key":"ref_103","doi-asserted-by":"crossref","first-page":"101801","DOI":"10.1103\/PhysRevLett.112.101801","article-title":"Bs,d \u2192 l+l\u2212 in the Standard Model with Reduced Theoretical Uncertainty","volume":"112","author":"Bobeth","year":"2014","journal-title":"Phys. Rev. Lett."},{"key":"ref_104","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1007\/JHEP12(2013)097","article-title":"Three-loop QCD corrections to Bs \u2192 \u03bc+\u03bc\u2212","volume":"1312","author":"Hermann","year":"2013","journal-title":"JHEP"},{"key":"ref_105","doi-asserted-by":"crossref","first-page":"34023","DOI":"10.1103\/PhysRevD.89.034023","article-title":"Electroweak Corrections to Bs,d \u2192 \u2113+\u2113\u2212","volume":"89","author":"Bobeth","year":"2014","journal-title":"Phys. Rev. D"},{"key":"ref_106","doi-asserted-by":"crossref","first-page":"101805","DOI":"10.1103\/PhysRevLett.111.101805","article-title":"Measurement of the \n          \n            \n              \n                B\n                s\n                0\n              \n            \n          \n         \u2192 \u03bc+\u03bc\u2212 branching fraction and search for B0 \u2192 \u03bc+\u03bc\u2212 decays at the LHCb experiment","volume":"111","author":"Aaij","year":"2013","journal-title":"Phys. Rev. Lett."},{"key":"ref_107","doi-asserted-by":"crossref","first-page":"101804","DOI":"10.1103\/PhysRevLett.111.101804","article-title":"Measurement of the B(s) to mu+ mu- branching fraction and search for B0 to mu+ mu- with the CMS Experiment","volume":"111","author":"Quertenmont","year":"2013","journal-title":"Phys. Rev. Lett."},{"key":"ref_108","unstructured":"CMS and LHCb Collaborations (2013). Combination of Results on the Rare Decays B0(s) \u2192 \u03bc+\u03bc\u2212 from the CMS and LHCb Experiments, CERN. CERN-LHCb-CONF-2013-012."},{"key":"ref_109","doi-asserted-by":"crossref","first-page":"499","DOI":"10.1016\/j.physletb.2006.06.071","article-title":"Hints of large tan(beta) in flavour physics","volume":"639","author":"Isidori","year":"2006","journal-title":"Phys. Lett. B"},{"key":"ref_110","doi-asserted-by":"crossref","first-page":"115019","DOI":"10.1103\/PhysRevD.75.115019","article-title":"Flavour physics at large tan(beta) with a Bino-like LSP","volume":"75","author":"Isidori","year":"2007","journal-title":"Phys. Rev. D"},{"key":"ref_111","doi-asserted-by":"crossref","first-page":"90001","DOI":"10.1088\/1674-1137\/38\/9\/090001","article-title":"Review of Particle Physics","volume":"38","author":"Olive","year":"2014","journal-title":"Chin. Phys. C"},{"key":"ref_112","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1016\/S0550-3213(00)00582-4","article-title":"epsilon-prime\/epsilon and rare K and B decays in the MSSM","volume":"592","author":"Buras","year":"2001","journal-title":"Nucl. Phys. B"},{"key":"ref_113","unstructured":"LHCb Collaboration (2013). Precision measurement of the \n          \n            \n\t\t\t\n              \n                B\n                s\n                0\n              \n            \n\t\t\t-\n\t\t\t\n\t\t\t\n\t\t\t\n                B\n\t\t\t\t\u00af\n\t\t\t\t\n\t\t\t\t\n                s\n                0\n              \n\t\t\t  \n          \n         oscillation frequency with the decay \n          \n            \n              \n                B\n                s\n                0\n              \n            \n\t\t\t\n         \u2192 \n          \n            \n              \n                D\n                s\n                \u2212\n              \n\t\t\t  \n\t\t\t  \n\t\t\t  \n                \u03c0\n                +\n               \n            \n\t\t\t\n        . New J. Phys., 15, 53021."},{"key":"ref_114","doi-asserted-by":"crossref","first-page":"1419","DOI":"10.1103\/PhysRevLett.50.1419","article-title":"Constraint on the Photino Mass from Cosmology","volume":"50","author":"Goldberg","year":"1983","journal-title":"Phys. Rev. Lett."},{"key":"ref_115","doi-asserted-by":"crossref","first-page":"453","DOI":"10.1016\/0550-3213(84)90461-9","article-title":"Supersymmetric Relics from the Big Bang","volume":"238","author":"Ellis","year":"1984","journal-title":"Nucl. Phys. B"},{"key":"ref_116","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1088\/0067-0049\/192\/2\/16","article-title":"Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation","volume":"192","author":"Larson","year":"2011","journal-title":"Astrophys. J. Suppl."},{"key":"ref_117","first-page":"06B102","article-title":"Results from the Wilkinson Microwave Anisotropy Probe","volume":"2014","author":"Komatsu","year":"2014","journal-title":"PTEP"},{"key":"ref_118","doi-asserted-by":"crossref","first-page":"2659","DOI":"10.1142\/S0217751X06031028","article-title":"MSSM Higgs physics at higher orders","volume":"21","author":"Heinemeyer","year":"2006","journal-title":"Int. J. Mod. Phys. A"},{"key":"ref_119","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1016\/j.physrep.2005.12.002","article-title":"Electroweak precision observables in the minimal supersymmetric standard model","volume":"425","author":"Heinemeyer","year":"2006","journal-title":"Phys. Rep."},{"key":"ref_120","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.physrep.2007.10.005","article-title":"The Anatomy of electro-weak symmetry breaking. II. The Higgs bosons in the minimal supersymmetric model","volume":"459","author":"Djouadi","year":"2008","journal-title":"Phys. Rep."},{"key":"ref_121","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1016\/j.physletb.2012.02.084","article-title":"Interpreting the LHC Higgs Search Results in the MSSM","volume":"710","author":"Heinemeyer","year":"2012","journal-title":"Phys. Lett. B"},{"key":"ref_122","doi-asserted-by":"crossref","first-page":"2354","DOI":"10.1140\/epjc\/s10052-013-2354-5","article-title":"MSSM Interpretations of the LHC Discovery: Light or Heavy Higgs?","volume":"73","author":"Bechtle","year":"2013","journal-title":"Eur. Phys. J."},{"key":"ref_123","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1140\/epjc\/s10052-016-4584-9","article-title":"The Light and Heavy Higgs Interpretation of the MSSM","volume":"77","author":"Bechtle","year":"2017","journal-title":"Eur. Phys. J. C"},{"key":"ref_124","unstructured":"ATLAS and CMS Collaborations (2015). Combined Measurement of the Higgs Boson Mass in pp Collisions at \n          \n            \n              \n                s\n\t\t\t\t\n            \n          \n         =7 and 8 TeV with the ATLAS and CMS Experiments. Phys. Rev. Lett., 114, 191803."},{"key":"ref_125","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1140\/epjc\/s2003-01152-2","article-title":"Towards high precision predictions for the MSSM Higgs sector","volume":"28","author":"Degrassi","year":"2003","journal-title":"Eur. Phys. J. C"},{"key":"ref_126","doi-asserted-by":"crossref","first-page":"2809","DOI":"10.1140\/epjc\/s10052-014-2809-3","article-title":"Implications of Improved Higgs Mass Calculations for Supersymmetric Models","volume":"74","author":"Buchmueller","year":"2014","journal-title":"Eur. Phys. J. C"},{"key":"ref_127","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1140\/epjc\/s10052-018-5544-3","article-title":"Reconciling EFT and hybrid calculations of the light MSSM Higgs-boson mass","volume":"78","author":"Bahl","year":"2018","journal-title":"Eur. Phys. J. C"},{"key":"ref_128","doi-asserted-by":"crossref","first-page":"76","DOI":"10.1016\/S0010-4655(99)00364-1","article-title":"FeynHiggs: A Program for the calculation of the masses of the neutral CP even Higgs bosons in the MSSM","volume":"124","author":"Heinemeyer","year":"2000","journal-title":"Comput. Phys. Commun."},{"key":"ref_129","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1007\/s100529900006","article-title":"The Masses of the neutral CP\u2014Even Higgs bosons in the MSSM: Accurate analysis at the two loop level","volume":"9","author":"Heinemeyer","year":"1999","journal-title":"Eur. Phys. J. C"},{"key":"ref_130","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1088\/1126-6708\/2007\/02\/047","article-title":"The Higgs Boson Masses and Mixings of the Complex MSSM in the Feynman-Diagrammatic Approach","volume":"702","author":"Frank","year":"2007","journal-title":"JHEP"},{"key":"ref_131","doi-asserted-by":"crossref","first-page":"1426","DOI":"10.1016\/j.cpc.2009.02.014","article-title":"FeynHiggs: A program for the calculation of MSSM Higgs-boson observables\u2014Version 2.6.5","volume":"180","author":"Hahn","year":"2009","journal-title":"Comput. Phys. Commun."},{"key":"ref_132","doi-asserted-by":"crossref","first-page":"141801","DOI":"10.1103\/PhysRevLett.112.141801","article-title":"High-Precision Predictions for the Light CP-Even Higgs Boson Mass of the Minimal Supersymmetric Standard Model","volume":"112","author":"Hahn","year":"2014","journal-title":"Phys. Rev. Lett."},{"key":"ref_133","doi-asserted-by":"crossref","first-page":"499","DOI":"10.1140\/epjc\/s10052-016-4354-8","article-title":"Precise prediction for the light MSSM Higgs boson mass combining effective field theory and fixed-order calculations","volume":"76","author":"Bahl","year":"2016","journal-title":"Eur. Phys. J. C"},{"key":"ref_134","unstructured":"ATLAS and CDF and CMS and D0 Collaborations (arXiv, 2014). First combination of Tevatron and LHC measurements of the top-quark mass, arXiv."},{"key":"ref_135","doi-asserted-by":"crossref","first-page":"88","DOI":"10.1016\/S0550-3213(00)00146-2","article-title":"Effective Lagrangian for the \n          \n            \n              \n                 t\n                \u00af\n\t\t\t\t\n                b\n\t\t\t\t\n                H\n\t\t\t\t+\n\t\t\t\t\n            \n          \n         interaction in the MSSM and charged Higgs phenomenology","volume":"577","author":"Carena","year":"2000","journal-title":"Nucl. Phys. B"},{"key":"ref_136","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1142\/S2010194512006782","article-title":"Futs and the Higgs-boson","volume":"13","author":"Heinemeyer","year":"2012","journal-title":"Int. J. Mod. Phys. Conf. Ser."},{"key":"ref_137","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1134\/S1063779613020159","article-title":"Finite unified theories and their predicitions","volume":"44","author":"Heinemeyer","year":"2013","journal-title":"Phys. Part. Nucl."},{"key":"ref_138","unstructured":"(2017, February 11). Supersymmetry Searches. Available online: https:\/\/twiki.cern.ch\/twiki\/bin\/view\/AtlasPublic\/SupersymmetryPublicResults."},{"key":"ref_139","unstructured":"(2017, February 11). CMS Supersymmetry Physics Results. Available online: https:\/\/twiki.cern.ch\/twiki\/bin\/view\/CMSPublic\/PhysicsResultsSUS."},{"key":"ref_140","unstructured":"Mangano, M. (2017). Physics at the FCC-hh, a 100 TeV pp Collider, CERN. CERN Yellow Report CERN 2017-003-M."},{"key":"ref_141","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/S0010-4655(02)00596-9","article-title":"MicrOMEGAs: A Program for calculating the relic density in the MSSM","volume":"149","author":"Belanger","year":"2002","journal-title":"Comput. Phys. Commun."},{"key":"ref_142","doi-asserted-by":"crossref","first-page":"577","DOI":"10.1016\/j.cpc.2005.12.005","article-title":"micrOMEGAs: Version 1.3","volume":"174","author":"Belanger","year":"2006","journal-title":"Comput. Phys. Commun."},{"key":"ref_143","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1016\/j.cpc.2017.08.028","article-title":"Collider limits on new physics within micrOMEGAs_4.3","volume":"222","author":"Barducci","year":"2018","journal-title":"Comput. Phys. Commun."},{"key":"ref_144","unstructured":"Valle, J.W.F. (1998). Neutrino mass: Theory, data and interpretation. PoS Corfu, 98."},{"key":"ref_145","doi-asserted-by":"crossref","first-page":"13009","DOI":"10.1103\/PhysRevD.68.013009","article-title":"Solar neutrino masses and mixing from bilinear R parity broken supersymmetry: Analytical versus numerical results","volume":"68","author":"Diaz","year":"2003","journal-title":"Phys. Rev. D"},{"key":"ref_146","doi-asserted-by":"crossref","first-page":"565","DOI":"10.1142\/9789814307505_0017","article-title":"An Introduction to explicit R-parity violation","volume":"21","author":"Dreiner","year":"2010","journal-title":"Adv. Ser. Direct. High Energy Phys."},{"key":"ref_147","unstructured":"Bhattacharyya, G. (1997). A Brief Review of R-Parity Violating Couplings, Castle Ringberg. Presented at the \u2018Beyond the Desert\u2019."},{"key":"ref_148","doi-asserted-by":"crossref","first-page":"75014","DOI":"10.1103\/PhysRevD.60.075014","article-title":"Bounds on R-parity violating couplings at the weak scale and at the GUT scale","volume":"60","author":"Allanach","year":"1999","journal-title":"Phys. Rev. D"},{"key":"ref_149","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/0550-3213(92)90641-N","article-title":"Neutrino masses in supersymmetry with spontaneously broken R parity","volume":"381","author":"Romao","year":"1992","journal-title":"Nucl. Phys. B"},{"key":"ref_150","doi-asserted-by":"crossref","first-page":"1784","DOI":"10.1103\/PhysRevD.53.1784","article-title":"Thermal inflation and the moduli problem","volume":"53","author":"Lyth","year":"1996","journal-title":"Phys. Rev. D"},{"key":"ref_151","doi-asserted-by":"crossref","first-page":"23510","DOI":"10.1103\/PhysRevD.74.023510","article-title":"Neutralino with the right cold dark matter abundance in (almost) any supersymmetric model","volume":"74","author":"Gelmini","year":"2006","journal-title":"Phys. Rev. D"},{"key":"ref_152","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1016\/0550-3213(83)90179-7","article-title":"Light Cone Superspace and the Ultraviolet Finiteness of the N = 4 Model","volume":"213","author":"Mandelstam","year":"1983","journal-title":"Nucl. Phys. B"},{"key":"ref_153","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1016\/0370-2693(83)91210-8","article-title":"The Ultraviolet Finiteness of the N = 4 Yang-Mills Theory","volume":"123","author":"Brink","year":"1983","journal-title":"Phys. Lett. B"},{"key":"ref_154","doi-asserted-by":"crossref","first-page":"81301","DOI":"10.1103\/PhysRevLett.103.081301","article-title":"The Ultraviolet Behavior of N = 8 Supergravity at Four Loops","volume":"103","author":"Bern","year":"2009","journal-title":"Phys. Rev. Lett."},{"key":"ref_155","doi-asserted-by":"crossref","first-page":"116","DOI":"10.1088\/1126-6708\/2009\/09\/116","article-title":"On UV Finiteness of the Four Loop N = 8 Supergravity","volume":"909","author":"Kallosh","year":"2009","journal-title":"JHEP"},{"key":"ref_156","doi-asserted-by":"crossref","first-page":"161303","DOI":"10.1103\/PhysRevLett.98.161303","article-title":"Three-Loop Superfiniteness of N = 8 Supergravity","volume":"98","author":"Bern","year":"2007","journal-title":"Phys. Rev. Lett."},{"key":"ref_157","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1016\/j.physletb.2006.11.030","article-title":"Is N = 8 supergravity ultraviolet finite?","volume":"644","author":"Bern","year":"2007","journal-title":"Phys. Lett. B"},{"key":"ref_158","doi-asserted-by":"crossref","first-page":"131602","DOI":"10.1103\/PhysRevLett.98.131602","article-title":"Ultraviolet properties of maximal supergravity","volume":"98","author":"Green","year":"2007","journal-title":"Phys. Rev. Lett."},{"key":"ref_159","doi-asserted-by":"crossref","first-page":"1113","DOI":"10.1023\/A:1026654312961","article-title":"The Large N limit of superconformal field theories and supergravity","volume":"38","author":"Maldacena","year":"1999","journal-title":"Int. J. Theor. 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