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Phys."],"abstract":"<jats:title>\n                    A\n                    <jats:sc>bstract<\/jats:sc>\n                  <\/jats:title>\n                  <jats:p>\n                    In models with a U(1) gauge extension beyond the Standard Model, one can derive sum rules for the couplings of the theory that are a consequence of tree-level unitarity. In this paper, we provide a comprehensive list of coupling sum rules for a general\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:tex-math>$$ \\textrm{SU}{(2)}_L\\times \\textrm{U}{(1)}_Y\\times \\textrm{U}{(1)}_{Y^{\\prime }} $$<\/jats:tex-math>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                          <mml:mi>SU<\/mml:mi>\n                          <mml:msub>\n                            <mml:mfenced>\n                              <mml:mn>2<\/mml:mn>\n                            <\/mml:mfenced>\n                            <mml:mi>L<\/mml:mi>\n                          <\/mml:msub>\n                          <mml:mo>\u00d7<\/mml:mo>\n                          <mml:mi>U<\/mml:mi>\n                          <mml:msub>\n                            <mml:mfenced>\n                              <mml:mn>1<\/mml:mn>\n                            <\/mml:mfenced>\n                            <mml:mi>Y<\/mml:mi>\n                          <\/mml:msub>\n                          <mml:mo>\u00d7<\/mml:mo>\n                          <mml:mi>U<\/mml:mi>\n                          <mml:msub>\n                            <mml:mfenced>\n                              <mml:mn>1<\/mml:mn>\n                            <\/mml:mfenced>\n                            <mml:msup>\n                              <mml:mi>Y<\/mml:mi>\n                              <mml:mo>\u2032<\/mml:mo>\n                            <\/mml:msup>\n                          <\/mml:msub>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    gauge theory coupled to an arbitrary set of fermion and scalar multiplets. These results are of particular interest for models of dark matter that employ an extended gauge sector mediated by a new (dark)\n                    <jats:italic>Z<\/jats:italic>\n                    <jats:sup>\n                      <jats:italic>\u2032<\/jats:italic>\n                    <\/jats:sup>\n                    gauge boson. For the case of a minimal extension of the Standard Model with a\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:tex-math>$$ \\textrm{U}{(1)}_{Y^{\\prime }} $$<\/jats:tex-math>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                          <mml:mi>U<\/mml:mi>\n                          <mml:msub>\n                            <mml:mfenced>\n                              <mml:mn>1<\/mml:mn>\n                            <\/mml:mfenced>\n                            <mml:msup>\n                              <mml:mi>Y<\/mml:mi>\n                              <mml:mo>\u2032<\/mml:mo>\n                            <\/mml:msup>\n                          <\/mml:msub>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    gauge boson, we clarify the definitions of the weak mixing angle and the electroweak\n                    <jats:italic>\u03c1<\/jats:italic>\n                    parameter. We demonstrate the utility of a generalized\n                    <jats:italic>\u03c1<\/jats:italic>\n                    parameter (denoted by\n                    <jats:italic>\u03c1<\/jats:italic>\n                    <jats:sup>\n                      <jats:italic>\u2032<\/jats:italic>\n                    <\/jats:sup>\n                    ) whose definition naturally follows from the unitarity sum rules developed in this paper.\n                  <\/jats:p>","DOI":"10.1007\/jhep10(2023)083","type":"journal-article","created":{"date-parts":[[2023,10,13]],"date-time":"2023-10-13T15:01:27Z","timestamp":1697209287000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Tree-level Unitarity in $$ \\textrm{SU}{(2)}_L\\times \\textrm{U}{(1)}_Y\\times \\textrm{U}{(1)}_{Y^{\\prime }} $$ Models"],"prefix":"10.1007","volume":"2023","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9071-5821","authenticated-orcid":false,"given":"Miguel P.","family":"Bento","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01c27hj86","id-type":"ROR","asserted-by":"publisher"}],"name":"Universidade de Lisboa"}]},{"given":"Howard E.","family":"Haber","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/03s65by71","id-type":"ROR","asserted-by":"publisher"}],"name":"University of California"}]},{"given":"Jo\u00e3o P.","family":"Silva","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01c27hj86","id-type":"ROR","asserted-by":"publisher"}],"name":"Universidade de Lisboa"}]}],"member":"297","published-online":{"date-parts":[[2023,10,13]]},"reference":[{"key":"21968_CR1","doi-asserted-by":"crossref","unstructured":"C.H. 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Haber and J. Wudka, Sum rules for Higgs bosons, Phys. Rev. D 43 (1991) 904 [INSPIRE].","DOI":"10.1103\/PhysRevD.43.904"},{"key":"21968_CR6","doi-asserted-by":"publisher","first-page":"027","DOI":"10.1007\/JHEP09(2019)027","volume":"09","author":"J Brod","year":"2019","unstructured":"J. Brod and M. Gorbahn, The Z Penguin in Generic Extensions of the Standard Model, JHEP 09 (2019) 027 [arXiv:1903.05116] [INSPIRE].","journal-title":"JHEP"},{"key":"21968_CR7","doi-asserted-by":"publisher","first-page":"230","DOI":"10.1007\/JHEP07(2021)230","volume":"07","author":"F Bishara","year":"2021","unstructured":"F. Bishara, J. Brod, M. Gorbahn and U. Moldanazarova, Generic one-loop matching conditions for rare meson decays, JHEP 07 (2021) 230 [arXiv:2104.10930] [INSPIRE].","journal-title":"JHEP"},{"key":"21968_CR8","doi-asserted-by":"crossref","unstructured":"B.W. Lee, C. Quigg and H.B. Thacker, The Strength of Weak Interactions at Very High-Energies and the Higgs Boson Mass, Phys. Rev. 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Uttayarat, One-loop corrections to the perturbative unitarity bounds in the CP-conserving two-Higgs doublet model with a softly broken \u21242 symmetry, JHEP 06 (2016) 070 [arXiv:1512.04567] [INSPIRE].","journal-title":"JHEP"},{"key":"21968_CR15","doi-asserted-by":"crossref","unstructured":"I.F. Ginzburg and I.P. Ivanov, Tree-level unitarity constraints in the most general 2HDM, Phys. Rev. D 72 (2005) 115010 [hep-ph\/0508020] [INSPIRE].","DOI":"10.1103\/PhysRevD.72.115010"},{"key":"21968_CR16","doi-asserted-by":"publisher","first-page":"289","DOI":"10.1016\/j.physletb.2015.10.047","volume":"751","author":"S Kanemura","year":"2015","unstructured":"S. Kanemura and K. Yagyu, Unitarity bound in the most general two Higgs doublet model, Phys. Lett. B 751 (2015) 289 [arXiv:1509.06060] [INSPIRE].","journal-title":"Phys. Lett. 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