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Proc."],"abstract":"These proceedings review the differential decay rates and the\nbranching ratios of the tau and muon decays\n\\tau \\to \\ell \\ell' \\ell' \\nu \\bar\\nu<\/jats:tex-math>\u03c4<\/mml:mi>\u2192<\/mml:mo>\u2113<\/mml:mi>\u2113<\/mml:mi>\u2032<\/mml:mi>\u2113<\/mml:mi>\u2032<\/mml:mi>\u03bd<\/mml:mi>\u03bd<\/mml:mi>\u203e<\/mml:mo><\/mml:mover><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>\n(with \\ell,\\ell'=\\mu,e<\/jats:tex-math>\u2113<\/mml:mi>,<\/mml:mo>\u2113<\/mml:mi>\u2032<\/mml:mi>=<\/mml:mo>\u03bc<\/mml:mi>,<\/mml:mo>e<\/mml:mi><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>)\nand \\mu \\to e e e \\nu \\bar \\nu<\/jats:tex-math>\u03bc<\/mml:mi>\u2192<\/mml:mo>e<\/mml:mi>e<\/mml:mi>e<\/mml:mi>\u03bd<\/mml:mi>\u03bd<\/mml:mi>\u203e<\/mml:mo><\/mml:mover><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>\nin the Standard Model at NLO. These five-body leptonic decays are a tool\nto study the Lorentz structure of weak interactions and to test lepton\nflavour universality. They are also a source of SM background to\nsearches for the lepton-flavour-violating decays\n\\mu \\to e e e<\/jats:tex-math>\u03bc<\/mml:mi>\u2192<\/mml:mo>e<\/mml:mi>e<\/mml:mi>e<\/mml:mi><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>\nand \\tau \\to \\ell \\ell' \\ell'<\/jats:tex-math>\u03c4<\/mml:mi>\u2192<\/mml:mo>\u2113<\/mml:mi>\u2113<\/mml:mi>\u2032<\/mml:mi>\u2113<\/mml:mi>\u2032<\/mml:mi><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>.<\/jats:p>Even if the shift in the branching ratios induced by radiative\ncorrections turns out to be small and of order 1% \u2014 mainly due to a\nrunning effect of the fine structure constant \u2014 locally in the phase\nspace these corrections can reach the 5 - 10% level, depending on the\napplied cuts. We found for instance that in the phase space region where\nthe neutrino energies are small, and the momenta of the three charged\nleptons have a similar signature as in \\mu \\to eee<\/jats:tex-math>\u03bc<\/mml:mi>\u2192<\/mml:mo>e<\/mml:mi>e<\/mml:mi>e<\/mml:mi><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>\nand \\tau \\to \\ell \\ell'\\ell'<\/jats:tex-math>\u03c4<\/mml:mi>\u2192<\/mml:mo>\u2113<\/mml:mi>\u2113<\/mml:mi>\u2032<\/mml:mi>\u2113<\/mml:mi>\u2032<\/mml:mi><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>,\nthe NLO corrections decrease the leading-order prediction by about 10 -\n20%.<\/jats:p>","DOI":"10.21468\/scipostphysproc.1.009","type":"journal-article","created":{"date-parts":[[2019,2,18]],"date-time":"2019-02-18T09:08:55Z","timestamp":1550480935000},"update-policy":"https:\/\/doi.org\/10.21468\/scipost.crossmarkpolicy","source":"Crossref","is-referenced-by-count":0,"title":["NLO prediction for the decays $\\tau \\to \\ell 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This is obtained by linking the theory of optimal transport to the Raychaudhuri equation in the internal space, where the warp factor introduces effective notions of curvature and (negative) internal dimension. When the Reduced Energy Condition is satisfied, concavity can be characterized in terms of the cosmological constant\n \n \n \\Lambda<\/jats:tex-math>\n \n \u039b<\/mml:mi>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula>\n ; as a consequence, the masses of the spin-two Kaluza-Klein fields obey bounds in terms of\n \n \n \\Lambda<\/jats:tex-math>\n \n \u039b<\/mml:mi>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula>\n alone. We show that some Cheeger bounds on the KK spectrum hold even without assuming synthetic Ricci lower bounds, in the large class of infinitesimally Hilbertian metric measure spaces, which includes D-brane and O-plane singularities. As an application, we show how some approximate string theory solutions in the literature achieve scale separation, and we construct a new explicit parametrically scale-separated AdS solution of M-theory supported by Casimir energy.\n <\/jats:p>","DOI":"10.21468\/scipostphys.15.2.039","type":"journal-article","created":{"date-parts":[[2023,8,1]],"date-time":"2023-08-01T06:30:02Z","timestamp":1690871402000},"update-policy":"https:\/\/doi.org\/10.21468\/scipost.crossmarkpolicy","source":"Crossref","is-referenced-by-count":15,"title":["Gravity from thermodynamics: Optimal transport and negative effective dimensions"],"prefix":"10.21468","volume":"15","author":[{"given":"Giuseppe Bruno","family":"De Luca","sequence":"first","affiliation":[{"name":"Stanford University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nicol\u00f2","family":"De Ponti","sequence":"additional","affiliation":[{"name":"International School for Advanced 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dependence at very low temperatures.\nLa\n \n \n _{1.71}<\/jats:tex-math>\n \n \n \n 1.71<\/mml:mn>\n <\/mml:msub>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula>\n Sr\n \n \n _{0.29}<\/jats:tex-math>\n \n \n \n 0.29<\/mml:mn>\n <\/mml:msub>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula>\n CuO\n \n \n _4<\/jats:tex-math>\n \n \n \n 4<\/mml:mn>\n <\/mml:msub>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula>\n ,\non the other hand, has a superconducting ground state together with a\nT-Linear term in its resistivity. The concomitant emergence of these two\nfeatures below a critical doping is mystifying. Here, I notice that the\nelectron-electron collision rate in the Fermi liquid above the doping\nthreshold is unusually large. The scattering time of nodal\nquasi-particles expressed in a dimensionless parameter\n \n \n \\zeta<\/jats:tex-math>\n \n \u03b6<\/mml:mi>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula>\n is very close to what has been found in liquid\n \n \n ^3<\/jats:tex-math>\n \n \n \n 3<\/mml:mn>\n <\/mml:msup>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula>\n He\nat its melting pressure. In the latter case, fermionic particles become\ndynamically distinguishable by excess of interaction. Ceasing to be\ndynamically indistinguishable, nodal electrons will be excluded from the\nFermi sea. 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In particular holographic nuclear matter takes the form of a crystal of instantons of the flavor group. \nIn this \narticle we initiate the analysis of \nthe three-dimensional \ncrystal structures and the orientation patterns for \nthe two-body potential \nthat follows from holographic duality.\nThe outcome of the analysis includes several unexpected results.\nWe perform simulations of ensembles of O(10000) instantons whereby we identify the lattice structure and orientations for the different values of the weight factors\nof the \nnon-Abelian orientation terms in the two-body potential.\nThe resulting phase diagram is surprisingly complex, including a variety of ferromagnetic and antiferromagnetic crystals with various global orientation patterns, and various ``non-Abelian'' crystals where orientations have no preferred direction.\nThe latter include variants of face-centered-cubic, hexagonal, and simple cubic crystals which may have remarkably large or small aspect ratios. \nThe simulation results are augmented by analytic analysis of the long-distance divergences, and numerical computation of the (divergence free) energy differences between the non-Abelian crystals, which allows us to precisely determine the structure of the phase diagram.<\/jats:p>","DOI":"10.21468\/scipostphys.11.1.018","type":"journal-article","created":{"date-parts":[[2021,7,23]],"date-time":"2021-07-23T05:49:36Z","timestamp":1627019376000},"update-policy":"https:\/\/doi.org\/10.21468\/scipost.crossmarkpolicy","source":"Crossref","is-referenced-by-count":8,"title":["Many phases of generalized 3D instanton crystals"],"prefix":"10.21468","volume":"11","author":[{"given":"Matti","family":"Jarvinen","sequence":"first","affiliation":[{"name":"Tel Aviv University"},{"name":"Asia Pacific Center for Theoretical Physics"},{"name":"Pohang University of Science and 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Proceedings"],"link":[{"URL":"https:\/\/scipost.org\/10.21468\/SciPostPhysProc.7.037\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/scipost.org\/10.21468\/SciPostPhysProc.7.037\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,6,21]],"date-time":"2022-06-21T13:17:52Z","timestamp":1655817472000},"score":0.0,"resource":{"primary":{"URL":"https:\/\/scipost.org\/10.21468\/SciPostPhysProc.7.037"}},"issued":{"date-parts":[[2022,6,21]]},"references-count":36,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2022]]}},"URL":"https:\/\/doi.org\/10.21468\/scipostphysproc.7.037","archive":["CLOCKSS"],"ISSN":["2666-4003"],"issn-type":[{"type":"electronic","value":"2666-4003"}],"published":{"date-parts":[[2022,6,21]]},"article-number":"037"},{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T23:40:25Z","timestamp":1740181225900,"version":"3.37.3"},"reference-count":10,"publisher":"Stichting SciPost","issue":"8","license":[{"start":{"date-parts":[[2022,7,13]],"date-time":"2022-07-13T00:00:00Z","timestamp":1657670400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100002347","name":"Bundesministerium f\u00fcr Bildung und Forschung","doi-asserted-by":"publisher","award":["FSP-103"],"award-info":[{"award-number":["FSP-103"]}],"id":[{"id":"10.13039\/501100002347","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["scipost.org"],"crossmark-restriction":false},"short-container-title":["SciPost Phys. Proc."],"abstract":"Two measurements and their combination for the\nt\\bar{t}t\\bar{t}<\/jats:tex-math>t<\/mml:mi>t<\/mml:mi>\u203e<\/mml:mo><\/mml:mover>t<\/mml:mi>t<\/mml:mi>\u203e<\/mml:mo><\/mml:mover><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>\nproduction cross-section analysis using 139\nfb^{-1}<\/jats:tex-math>\u2212<\/mml:mo>1<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:math><\/jats:alternatives><\/jats:inline-formula>\nof proton-proton collision data at a centre-of-mass energy of 13 TeV\ncollected by the ATLAS detector at the LHC are presented. The first\nanalysis uses the final states with either one or two opposite-sign\nleptons (electrons or muons). In the second analysis the final states\nwith either two same-sign or at least three leptons are considered. With\nan observed (expected) significance of 4.3 (2.4) standard deviations\nover the background-only hypothesis, the second analysis provides the\nfirst evidence for the t\\bar{t}t\\bar{t}<\/jats:tex-math>t<\/mml:mi>t<\/mml:mi>\u203e<\/mml:mo><\/mml:mover>t<\/mml:mi>t<\/mml:mi>\u203e<\/mml:mo><\/mml:mover><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>\nprocess. No significant deviations from the Standard Model are\nobserved.<\/jats:p>","DOI":"10.21468\/scipostphysproc.8.116","type":"journal-article","created":{"date-parts":[[2022,7,13]],"date-time":"2022-07-13T10:59:06Z","timestamp":1657709946000},"update-policy":"https:\/\/doi.org\/10.21468\/scipost.crossmarkpolicy","source":"Crossref","is-referenced-by-count":0,"title":["Measurement of the $t\\bar{t}t\\bar{t}$ production at 13 TeV with the ATLAS detector at the LHC"],"prefix":"10.21468","author":[{"given":"O. Ogul","family":"Oncel","sequence":"first","affiliation":[{"name":"University of Bonn"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"8907","published-online":{"date-parts":[[2022,7,13]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/jhep02(2018)031"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/jhep07(2012)111"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1088\/1748-0221\/3\/08\/S08003"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1103\/physrevd.99.052009"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/jhep12(2018)039"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1140\/epjc\/s10052-019-7593-7"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP11(2021)118"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1140\/epjc\/s10052-020-08509-3"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1140\/epjc\/s10052-019-7450-8"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1140\/epjc\/s10052-020-8388-6"}],"container-title":["SciPost Physics Proceedings"],"link":[{"URL":"https:\/\/scipost.org\/10.21468\/SciPostPhysProc.8.116\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/scipost.org\/10.21468\/SciPostPhysProc.8.116\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,7,13]],"date-time":"2022-07-13T10:59:08Z","timestamp":1657709948000},"score":0.0,"resource":{"primary":{"URL":"https:\/\/scipost.org\/10.21468\/SciPostPhysProc.8.116"}},"issued":{"date-parts":[[2022,7,13]]},"references-count":10,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2022]]}},"URL":"https:\/\/doi.org\/10.21468\/scipostphysproc.8.116","archive":["CLOCKSS"],"ISSN":["2666-4003"],"issn-type":[{"type":"electronic","value":"2666-4003"}],"published":{"date-parts":[[2022,7,13]]},"article-number":"116"},{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T00:02:52Z","timestamp":1772236972739,"version":"3.50.1"},"reference-count":51,"publisher":"Stichting SciPost","issue":"6","license":[{"start":{"date-parts":[[2023,6,15]],"date-time":"2023-06-15T00:00:00Z","timestamp":1686787200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100001711","name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001711","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["scipost.org"],"crossmark-restriction":false},"short-container-title":["SciPost Phys."],"abstract":"\n Integrability of the one-dimensional Hubbard model and of the factorised scattering problem encountered on the worldsheet of AdS strings can be expressed in terms of a peculiar quantum algebra. In this article, we derive the classical limit of these algebraic integrable structures based on established results for the exceptional simple Lie superalgebra\n \n \n \\mathfrak{d}(2,1;\\epsilon)<\/jats:tex-math>\n \n \n \ud835\udd21<\/mml:mi>\n \n (<\/mml:mo>\n 2<\/mml:mn>\n ,<\/mml:mo>\n 1<\/mml:mn>\n ;<\/mml:mo>\n \u03f5<\/mml:mi>\n )<\/mml:mo>\n <\/mml:mrow>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula>\n along with standard\n \n \n \\mathfrak{sl}(2)<\/jats:tex-math>\n \n \n \n \ud835\udd30<\/mml:mi>\n \ud835\udd29<\/mml:mi>\n <\/mml:mrow>\n \n (<\/mml:mo>\n 2<\/mml:mn>\n )<\/mml:mo>\n <\/mml:mrow>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula>\n which form supersymmetric isometries on 3D AdS space. The two major steps in this construction consist in the contraction to a 3D Poincar\u00e9 superalgebra and a certain reduction to a deformation of the\n \n \n \\mathfrak{u}(2|2)<\/jats:tex-math>\n \n \n \ud835\udd32<\/mml:mi>\n \n (<\/mml:mo>\n 2<\/mml:mn>\n |<\/mml:mo>\n 2<\/mml:mn>\n )<\/mml:mo>\n <\/mml:mrow>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula>\n superalgebra. We apply these steps to the integrable structure and obtain the desired Lie bialgebras with suitable classical r-matrices of rational and trigonometric kind. We illustrate our findings in terms of representations for on-shell fields on AdS and flat space.\n <\/jats:p>","DOI":"10.21468\/scipostphys.14.6.157","type":"journal-article","created":{"date-parts":[[2023,6,15]],"date-time":"2023-06-15T08:24:36Z","timestamp":1686817476000},"update-policy":"https:\/\/doi.org\/10.21468\/scipost.crossmarkpolicy","source":"Crossref","is-referenced-by-count":3,"title":["Classical Lie bialgebras for AdS\/CFT integrability by contraction and reduction"],"prefix":"10.21468","volume":"14","author":[{"given":"Niklas","family":"Beisert","sequence":"first","affiliation":[{"name":"Swiss Federal Institute of Technology in Zurich (ETH)"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Egor","family":"Im","sequence":"additional","affiliation":[{"name":"Swiss Federal Institute of Technology in Zurich 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