{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:11:15Z","timestamp":1760235075375,"version":"build-2065373602"},"reference-count":66,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2021,7,10]],"date-time":"2021-07-10T00:00:00Z","timestamp":1625875200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100000921","name":"European Cooperation in Science and Technology","doi-asserted-by":"publisher","award":["European Cooperation in Science and Technology"],"award-info":[{"award-number":["European Cooperation in Science and Technology"]}],"id":[{"id":"10.13039\/501100000921","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Polish National Science Cente","award":["2015\/17\/N\/ST2\/04067"],"award-info":[{"award-number":["2015\/17\/N\/ST2\/04067"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>We investigate an extension of the Standard Model with one additional triplet of scalar bosons. Altogether, the model contains four Higgs bosons. We analyze the associated production of the doubly charged scalar with the Standard Model gauge bosons and the remaining Higgs bosons of the model, which are: the light (SM) and heavy neutral scalars and a singly charged scalar. We estimate, in the context of the present (HL\u2013LHC) and future (FCC\u2013hh) hadron colliders, the most promising processes in which a single produced doubly charged Higgs boson is involved.<\/jats:p>","DOI":"10.3390\/sym13071240","type":"journal-article","created":{"date-parts":[[2021,7,11]],"date-time":"2021-07-11T22:16:48Z","timestamp":1626041808000},"page":"1240","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Production of the Doubly Charged Higgs Boson in Association with the SM Gauge Bosons and\/or Other HTM Scalars at Hadron Colliders"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6162-7240","authenticated-orcid":false,"given":"Bartosz","family":"Dziewit","sequence":"first","affiliation":[{"name":"Institute of Physics, University of Silesia, 40-007 Katowice, Poland"}]},{"given":"Magdalena","family":"Kordiaczy\u0144ska","sequence":"additional","affiliation":[{"name":"Institute of Physics, University of Silesia, 40-007 Katowice, Poland"}]},{"given":"Tripurari","family":"Srivastava","sequence":"additional","affiliation":[{"name":"Department of Physics, DIT University Dehradun, Uttarakhand 248009, India"}]}],"member":"1968","published-online":{"date-parts":[[2021,7,10]]},"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":"B716","author":"Aad","year":"2012","journal-title":"Phys. Lett."},{"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":"B716","author":"Chatrchyan","year":"2012","journal-title":"Phys. Lett."},{"key":"ref_3","first-page":"2558","article-title":"A Natural Left-Right Symmetry","volume":"D11","author":"Mohapatra","year":"1975","journal-title":"Phys. Rev."},{"key":"ref_4","first-page":"1502","article-title":"Exact Left-Right Symmetry and Spontaneous Violation of Parity","volume":"D12","author":"Senjanovic","year":"1975","journal-title":"Phys. Rev."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"912","DOI":"10.1103\/PhysRevLett.44.912","article-title":"Neutrino Mass and Spontaneous Parity Nonconservation","volume":"44","author":"Mohapatra","year":"1980","journal-title":"Phys. Rev. Lett."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"837","DOI":"10.1103\/PhysRevD.44.837","article-title":"Left-right-symmetric electroweak models with triplet Higgs field","volume":"44","author":"Deshpande","year":"1991","journal-title":"Phys. Rev. D"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"336","DOI":"10.1006\/aphy.1999.5988","article-title":"Quantization and renormalization of the manifest left-right symmetric model of electroweak interactions","volume":"280","author":"Duka","year":"2000","journal-title":"Ann. Phys."},{"key":"ref_8","first-page":"095003","article-title":"Higgs sector of the minimal left-right symmetric model","volume":"D65","author":"Barenboim","year":"2002","journal-title":"Phys. Rev."},{"key":"ref_9","unstructured":"Gunion, J.F., Haber, H.E., Kane, G.L., and Dawson, S. (2000). The Higgs Hunter\u2019s Guide, CRC Press."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"142","DOI":"10.1016\/S0370-2693(03)00770-6","article-title":"Testing Higgs triplet model and neutrino mass patterns","volume":"B566","author":"Chun","year":"2003","journal-title":"Phys. Lett."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1103\/PhysRevD.10.275","article-title":"Lepton Number as the Fourth Color","volume":"10","author":"Pati","year":"1974","journal-title":"Phys. Rev. D"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"463","DOI":"10.1016\/0550-3213(85)90325-6","article-title":"Doubly charged Higgs bosons","volume":"262","author":"Georgi","year":"1985","journal-title":"Nucl. Phys. B"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1673","DOI":"10.1103\/PhysRevD.42.1673","article-title":"Higgs triplets in the standard model","volume":"42","author":"Gunion","year":"1990","journal-title":"Phys. Rev. D"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1546","DOI":"10.1103\/PhysRevD.40.1546","article-title":"Higgs bosons in left-right-symmetric models","volume":"40","author":"Gunion","year":"1989","journal-title":"Phys. Rev. D"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"533","DOI":"10.1016\/0550-3213(90)90069-P","article-title":"Doubly charged Higgs and W+W+ production","volume":"329","author":"Vega","year":"1990","journal-title":"Nucl. Phys. B"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1016\/S0550-3213(97)87466-4","article-title":"Doubly charged Higgs at LHC","volume":"B487","author":"Huitu","year":"1997","journal-title":"Nucl. Phys."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"218","DOI":"10.1103\/PhysRevD.26.218","article-title":"Decays of Weak Vector Bosons and T Quarks Into Doubly Charged Higgs Scalars","volume":"26","author":"Barger","year":"1982","journal-title":"Phys. Rev. D"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"117701","DOI":"10.1103\/PhysRevD.68.117701","article-title":"A Note on doubly charged Higgs pair production at hadron colliders","volume":"68","author":"Muhlleitner","year":"2003","journal-title":"Phys. Rev. D"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1007\/JHEP08(2019)024","article-title":"Scalar phenomenology in type-II seesaw model","volume":"8","author":"Primulando","year":"2019","journal-title":"JHEP"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"055015","DOI":"10.1103\/PhysRevD.90.055015","article-title":"Exploring the doubly charged Higgs boson of the left-right symmetric model using vector boson fusionlike events at the LHC","volume":"90","author":"Dutta","year":"2014","journal-title":"Phys. Rev. D"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"015016","DOI":"10.1103\/PhysRevD.92.015016","article-title":"Search for doubly charged Higgs bosons through vector boson fusion at the LHC and beyond","volume":"92","author":"Bambhaniya","year":"2015","journal-title":"Phys. Rev. D"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"115004","DOI":"10.1103\/PhysRevD.91.115004","article-title":"Impact of the Higgs boson on the production of exotic particles at the LHC","volume":"91","author":"Hessler","year":"2015","journal-title":"Phys. Rev. D"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"075013","DOI":"10.1103\/PhysRevD.76.075013","article-title":"Pair production of doubly-charged scalars: Neutrino mass constraints and signals at the LHC","volume":"76","author":"Han","year":"2007","journal-title":"Phys. Rev. D"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"2335","DOI":"10.1103\/PhysRevD.50.2335","article-title":"gamma gamma processes at high-energy p p colliders","volume":"50","author":"Drees","year":"1994","journal-title":"Phys. Rev. D"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"035011","DOI":"10.1103\/PhysRevD.72.035011","article-title":"Single and pair production of doubly charged Higgs bosons at hadron colliders","volume":"72","author":"Akeroyd","year":"2005","journal-title":"Phys. Rev. D"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"075010","DOI":"10.1103\/PhysRevD.77.075010","article-title":"Probing Majorana Phases and Neutrino Mass Spectrum in the Higgs Triplet Model at the CERN LHC","volume":"77","author":"Akeroyd","year":"2008","journal-title":"Phys. Rev. D"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"035010","DOI":"10.1103\/PhysRevD.84.035010","article-title":"Production of doubly charged scalars from the decay of singly charged scalars in the Higgs Triplet Model","volume":"84","author":"Akeroyd","year":"2011","journal-title":"Phys. Rev. D"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"075004","DOI":"10.1103\/PhysRevD.88.075004","article-title":"Doubly-charged particles at the Large Hadron Collider","volume":"88","author":"Alloul","year":"2013","journal-title":"Phys. Rev. D"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1007\/JHEP09(2018)079","article-title":"Type II Seesaw and tau lepton at the HL-LHC, HE-LHC and FCC-hh","volume":"9","author":"Li","year":"2018","journal-title":"JHEP"},{"key":"ref_30","first-page":"055013","article-title":"Doubly-Charged Scalars in the Type-II Seesaw Mechanism: Fundamental Symmetry Tests and High-Energy Searches","volume":"D98","author":"Dev","year":"2018","journal-title":"Phys. Rev."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"035004","DOI":"10.1103\/PhysRevD.99.035004","article-title":"Low- and high-energy phenomenology of a doubly charged scalar","volume":"99","author":"Crivellin","year":"2019","journal-title":"Phys. Rev. D"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1007\/JHEP01(2019)101","article-title":"Type-II Seesaw Scalar Triplet Model at a 100 TeV pp Collider: Discovery and Higgs Portal Coupling Determination","volume":"1","author":"Du","year":"2019","journal-title":"JHEP"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1007\/JHEP02(2019)157","article-title":"Low scale type II seesaw: Present constraints and prospects for displaced vertex searches","volume":"2","author":"Antusch","year":"2019","journal-title":"JHEP"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"1950157","DOI":"10.1142\/S0217751X19501574","article-title":"Doubly Charged Scalar at the High-Luminosity and High-Energy LHC","volume":"34","author":"Queiroz","year":"2019","journal-title":"Int. J. Mod. Phys. A"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"075050","DOI":"10.1103\/PhysRevD.101.075050","article-title":"Probing doubly and singly charged Higgs bosons at the pp collider HE-LHC","volume":"101","author":"Padhan","year":"2020","journal-title":"Phys. Rev. D"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"075022","DOI":"10.1103\/PhysRevD.101.075022","article-title":"Doubly Charged Higgs Boson Production at Hadron Colliders","volume":"101","author":"Fuks","year":"2020","journal-title":"Phys. Rev. D"},{"key":"ref_37","doi-asserted-by":"crossref","unstructured":"Gluza, J., Kordiaczy\u0144ska, M., and Srivastava, T. (2021). Discriminating the HTM and MLRSM models in collider studies via doubly charged Higgs boson pair production and the subsequent leptonic decays. Chin. Phys. C, accept.","DOI":"10.1088\/1674-1137\/abfe51"},{"key":"ref_38","doi-asserted-by":"crossref","unstructured":"Yang, X.H., and Yang, Z.J. (2021). Doubly Charged Higgs Production at Future ep Colliders. arXiv.","DOI":"10.1088\/1674-1137\/ac581b"},{"key":"ref_39","unstructured":"Aaboud, M., Aad, G., Abbott, B., Abeloos, B., Abidi, S.H., AbouZeid, O.S., Abraham, N.L., Abramowicz, H., Abreu, H., and Abreu, R. (2017). Search for doubly charged Higgs boson production in multi-lepton final states with the ATLAS detector using proton-proton collisions at s=13TeV. arXiv."},{"key":"ref_40","unstructured":"Aad, G., Abbott, B., Abbott, D.C., Abud, A.A., Abeling, K., Abhayasinghe, D.K., Abidi, S.H., Abouzeid, O., Abraham, N., and Abramowicz, H. (2021). Search for doubly and singly charged Higgs bosons decaying into vector bosons in multi-lepton final states with the ATLAS detector using proton-proton collisions at s=13TeV. arXiv."},{"key":"ref_41","unstructured":"(2021, July 02). A Search for Doubly-Charged Higgs Boson Production in Three and Four Lepton Final States at s=13TeV. Available online: http:\/\/cds.cern.ch\/record\/2242956."},{"key":"ref_42","unstructured":"(2021, July 02). High-Luminosity LHC, CERN. Available online: https:\/\/home.cern\/science\/accelerators\/high-luminosity-lhc."},{"key":"ref_43","unstructured":"Ellis, R.K., Sozzi, M., Nisati, A., D\u2019Onofrio, M., Sikl\u00e9r, F., Schulte, D., D\u2019Hondt, J., Jaeckel, J., McCullough, M., and Wiedemann, U. (2019). Physics Briefing Book: Input for the European Strategy for Particle Physics Update 2020. arXiv."},{"key":"ref_44","first-page":"255","article-title":"Physics at a 100 TeV pp collider: Higgs and EW symmetry breaking studies","volume":"3","author":"Contino","year":"2017","journal-title":"CERN Yellow Rep."},{"key":"ref_45","first-page":"441","article-title":"Physics at a 100 TeV pp collider: Beyond the Standard Model phenomena","volume":"3","author":"Contino","year":"2017","journal-title":"CERN Yellow Rep."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"474","DOI":"10.1140\/epjc\/s10052-019-6904-3","article-title":"FCC Physics Opportunities","volume":"C79","author":"Abada","year":"2019","journal-title":"Eur. Phys. J."},{"key":"ref_47","unstructured":"FCC Collaboration (2019). FCC-hh: The Hadron Collider: Future Circular Collider Conceptual Design Report Volume 3. Eur. Phys. J. ST, 228, 755\u20131107."},{"key":"ref_48","unstructured":"(2021, July 02). FCC\u2014Future Circular Collider, Conceptual Design Report. Available online: https:\/\/fcc-cdr.web.cern.ch\/."},{"key":"ref_49","first-page":"095005","article-title":"The Higgs Potential in the Type II Seesaw Model","volume":"D84","author":"Arhrib","year":"2011","journal-title":"Phys. Rev."},{"key":"ref_50","first-page":"035015","article-title":"Enhancement of H to gamma gamma from doubly charged scalars in the Higgs Triplet Model","volume":"D86","author":"Akeroyd","year":"2012","journal-title":"Phys. Rev."},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1007\/JHEP11(2012)106","article-title":"Vacuum Stability, Perturbativity, EWPD and Higgs-to-diphoton rate in Type II Seesaw Models","volume":"11","author":"Chun","year":"2012","journal-title":"JHEP"},{"key":"ref_52","doi-asserted-by":"crossref","unstructured":"Gluza, J., Kordiaczy\u0144ska, M., and Srivastava, T. (2020). Doubly Charged Higgs Bosons and Spontaneous Symmetry Breaking at eV and TeV Scales. Symmetry, 12.","DOI":"10.3390\/sym12010153"},{"key":"ref_53","first-page":"015015","article-title":"Updated scalar sector constraints in Higgs triplet model","volume":"D94","author":"Das","year":"2016","journal-title":"Phys. Rev."},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"40","DOI":"10.3389\/fphy.2018.00040","article-title":"Lepton Number Violation: Seesaw Models and Their Collider Tests","volume":"6","author":"Cai","year":"2018","journal-title":"Front. Phys."},{"key":"ref_55","doi-asserted-by":"crossref","first-page":"012","DOI":"10.1088\/1126-6708\/2002\/07\/012","article-title":"New generation of parton distributions with uncertainties from global QCD analysis","volume":"7","author":"Pumplin","year":"2002","journal-title":"JHEP"},{"key":"ref_56","unstructured":"Hou, T.J., Gao, J., Hobbs, T.J., Xie, K., Dulat, S., Guzzi, M., Huston, J., Nadolsky, P., Pumplin, J., and Schmidt, C. (2019). New CTEQ global analysis of quantum chromodynamics with high-precision data from the LHC. arXiv."},{"key":"ref_57","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1007\/JHEP07(2014)079","article-title":"The automated computation of tree-level and next-to-leading order differential cross section, and their maching to parton shower simulations","volume":"7","author":"Alwall","year":"2014","journal-title":"JHEP"},{"key":"ref_58","doi-asserted-by":"crossref","first-page":"852","DOI":"10.1016\/j.cpc.2008.01.036","article-title":"A Brief Introduction to PYTHIA 8.1","volume":"178","author":"Sjostrand","year":"2008","journal-title":"Comput. Phys. Commun."},{"key":"ref_59","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1088\/1126-6708\/2006\/05\/026","article-title":"PYTHIA 6.4 Physics and Manual","volume":"5","author":"Sjostrand","year":"2006","journal-title":"JHEP"},{"key":"ref_60","doi-asserted-by":"crossref","first-page":"2250","DOI":"10.1016\/j.cpc.2014.04.012","article-title":"FeynRules 2.0\u2014A complete toolbox for tree-level phenomenology","volume":"185","author":"Alloul","year":"2014","journal-title":"Comput. Phys. Commun."},{"key":"ref_61","doi-asserted-by":"crossref","first-page":"1693","DOI":"10.1103\/PhysRevD.45.1693","article-title":"Feynman rules for Majorana neutrino interactions","volume":"45","author":"Gluza","year":"1992","journal-title":"Phys. Rev. D"},{"key":"ref_62","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1007\/JHEP01(2019)106","article-title":"Global analysis of three-flavour neutrino oscillations: Synergies and tensions in the determination of \u03b823, \u03b4CP, and the mass ordering","volume":"1","author":"Esteban","year":"2019","journal-title":"JHEP"},{"key":"ref_63","doi-asserted-by":"crossref","first-page":"38","DOI":"10.1007\/JHEP07(2012)038","article-title":"Left-Right Symmetry at LHC and Precise 1-Loop Low Energy Data","volume":"7","author":"Chakrabortty","year":"2012","journal-title":"JHEP"},{"key":"ref_64","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1007\/JHEP05(2014)033","article-title":"Left-Right Symmetry and the Charged Higgs Bosons at the LHC","volume":"5","author":"Bambhaniya","year":"2014","journal-title":"JHEP"},{"key":"ref_65","first-page":"095003","article-title":"Lowest limits on the doubly charged Higgs boson masses in the minimal left-right symmetric model","volume":"D90","author":"Bambhaniya","year":"2014","journal-title":"Phys. Rev."},{"key":"ref_66","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1016\/j.physletb.2016.05.092","article-title":"Theoretical constraints on masses of heavy particles in Left-Right Symmetric Models","volume":"B759","author":"Chakrabortty","year":"2016","journal-title":"Phys. Lett."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/13\/7\/1240\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T06:28:39Z","timestamp":1760164119000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/13\/7\/1240"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,7,10]]},"references-count":66,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2021,7]]}},"alternative-id":["sym13071240"],"URL":"https:\/\/doi.org\/10.3390\/sym13071240","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2021,7,10]]}}}