Abstract
We analyze the compatibility of the hypothesis of third-family quark-lepton unification at the TeV scale with electroweak precision data, lepton flavor universality tests, and high-pT constraints. We work within the framework of the UV complete flavor non-universal 4321 gauge model, which is matched at one loop to the Standard Model Effective Field Theory. For consistency, all electroweak precision observables are also computed at one loop within the effective field theory. At tree level, the most sizeable corrections are to W →
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M. Bordone, C. Cornella, J. Fuentes-Martín and G. Isidori, A three-site gauge model for flavor hierarchies and flavor anomalies, Phys. Lett. B 779 (2018) 317 [arXiv:1712.01368] [INSPIRE].
A. Greljo and B.A. Stefanek, Third family quark-lepton unification at the TeV scale, Phys. Lett. B 782 (2018) 131 [arXiv:1802.04274].
J. Fuentes-Martín, G. Isidori, J. Pagès and B.A. Stefanek, Flavor non-universal Pati-Salam unification and neutrino masses, Phys. Lett. B 820 (2021) 136484 [arXiv:2012.10492] [INSPIRE].
J. Fuentes-Martín and P. Stangl, Third-family quark-lepton unification with a fundamental composite Higgs, Phys. Lett. B 811 (2020) 135953 [arXiv:2004.11376] [INSPIRE].
J. Fuentes-Martín et al., Flavor hierarchies, flavor anomalies, and Higgs mass from a warped extra dimension, Phys. Lett. B 834 (2022) 137382 [arXiv:2203.01952] [INSPIRE].
J. Davighi, G. Isidori and M. Pesut, Electroweak-flavour and quark-lepton unification: a family non-universal path, JHEP 04 (2023) 030 [arXiv:2212.06163] [INSPIRE].
G.R. Dvali and M.A. Shifman, Families as neighbors in extra dimension, Phys. Lett. B 475 (2000) 295 [hep-ph/0001072] [INSPIRE].
G. Panico and A. Pomarol, Flavor hierarchies from dynamical scales, JHEP 07 (2016) 097 [arXiv:1603.06609] [INSPIRE].
L. Allwicher, G. Isidori and A.E. Thomsen, Stability of the Higgs Sector in a Flavor-Inspired Multi-Scale Model, JHEP 01 (2021) 191 [arXiv:2011.01946] [INSPIRE].
R. Barbieri, A View of Flavour Physics in 2021, Acta Phys. Polon. B 52 (2021) 789 [arXiv:2103.15635] [INSPIRE].
L. Di Luzio, A. Greljo and M. Nardecchia, Gauge leptoquark as the origin of B-physics anomalies, Phys. Rev. D 96 (2017) 115011 [arXiv:1708.08450] [INSPIRE].
J.C. Pati and A. Salam, Lepton Number as the Fourth Color, Phys. Rev. D 10 (1974) 275 [INSPIRE].
R. Alonso, B. Grinstein and J. Martin Camalich, Lepton universality violation and lepton flavor conservation in B-meson decays, JHEP 10 (2015) 184 [arXiv:1505.05164] [INSPIRE].
L. Calibbi, A. Crivellin and T. Ota, Effective Field Theory Approach to b → sℓℓ(′), \( B\to {K}^{\left(\ast \right)}\nu \overline{\nu} \) and B → D(*)
τ ν with Third Generation Couplings, Phys. Rev. Lett. 115 (2015) 181801 [arXiv:1506.02661].R. Barbieri, G. Isidori, A. Pattori and F. Senia, Anomalies in B-decays and U(2) flavor symmetry, Eur. Phys. J. C 76 (2016) 67 [arXiv:1512.01560].
B. Bhattacharya et al., Simultaneous Explanation of the RK and \( {R}_{D^{\left(\ast \right)}} \) Puzzles: a Model Analysis, JHEP 01 (2017) 015 [arXiv:1609.09078] [INSPIRE].
D. Buttazzo, A. Greljo, G. Isidori and D. Marzocca, B-physics anomalies: a guide to combined explanations, JHEP 11 (2017) 044 [arXiv:1706.07808] [INSPIRE].
The BABAR collaboration, J.P. Lees and others, Measurement of an Excess of \( \overline{B}\to {D}^{\left(\ast \right)}{\tau}^{-}{\overline{\nu}}_{\tau } \) Decays and Implications for Charged Higgs Bosons, arXiv:1303.0571.
Belle collaboration, Measurement of the
τ lepton polarization and R(D*) in the decay \( \overline{B}\to {D}^{\ast }{\tau}^{-}{\overline{\nu}}_{\tau } \), Phys. Rev. Lett. 118 (2017) 211801 [arXiv:1612.00529] [INSPIRE].LHCb collaboration, Measurement of the ratio of branching fractions \( \mathcal{B}\left({\overline{B}}^0\to {D}^{\ast +}{\tau}^{-}{\overline{\nu}}_{\tau}\right)/\mathcal{B}\left({\overline{B}}^0\to {D}^{\ast +}{\mu}^{-}{\overline{\nu}}_{\mu}\right) \), Phys. Rev. Lett. 115 (2015) 111803 [Erratum ibid. 115 (2015) 159901] [arXiv:1506.08614] [INSPIRE].
LHCb collaboration, Measurement of the ratio of the B0 → D*−
τ +ν τ and B0 → D*−μ +ν μ branching fractions using three-prongτ -lepton decays, Phys. Rev. Lett. 120 (2018) 171802 [arXiv:1708.08856] [INSPIRE].LHCb collaboration, Test of Lepton Flavor Universality by the measurement of the B0 → D*−
τ +ν τ branching fraction using three-prongτ decays, Phys. Rev. D 97 (2018) 072013 [arXiv:1711.02505] [INSPIRE].LHCb collaboration, Test of lepton universality in b → sℓ+ℓ− decays, arXiv:2212.09152.
L. Allwicher, G. Isidori and N. Selimović, LFU violations in leptonic
τ decays and B-physics anomalies, Phys. Lett. B 826 (2022) 136903 [arXiv:2109.03833] [INSPIRE].L. Di Luzio et al., Maximal Flavour Violation: a Cabibbo mechanism for leptoquarks, JHEP 11 (2018) 081 [arXiv:1808.00942] [INSPIRE].
J. Fuentes-Martín, G. Isidori, M. König and N. Selimović, Vector Leptoquarks Beyond Tree Level III: Vector-like Fermions and Flavor-Changing Transitions, Phys. Rev. D 102 (2020) 115015 [arXiv:2009.11296] [INSPIRE].
The Babar collaboration et al., Flavor non-universal vector leptoquark imprints in \( K\to \pi \nu \overline{\nu} \) and ∆F = 2 transitions, Phys. Lett. B 835 (2022) 137525 [arXiv:2207.00018].
L. Allwicher et al., Drell-Yan tails beyond the Standard Model, JHEP 03 (2023) 064 [arXiv:2207.10714] [INSPIRE].
M.J. Baker, J. Fuentes-Martín, G. Isidori and M. König, High- pT signatures in vector-leptoquark models, Eur. Phys. J. C 79 (2019) 334 [arXiv:1901.10480].
L. Buonocore et al., Lepton-Quark Collisions at the Large Hadron Collider, Phys. Rev. Lett. 125 (2020) 231804 [arXiv:2005.06475] [INSPIRE].
L. Buonocore et al., Resonant leptoquark at NLO with POWHEG, JHEP 11 (2022) 129 [arXiv:2209.02599] [INSPIRE].
F. Feruglio, P. Paradisi and A. Pattori, Revisiting Lepton Flavor Universality in B Decays, Phys. Rev. Lett. 118 (2017) 011801 [arXiv:1606.00524] [INSPIRE].
F. Feruglio, P. Paradisi and A. Pattori, On the Importance of Electroweak Corrections for B Anomalies, JHEP 09 (2017) 061 [arXiv:1705.00929] [INSPIRE].
E.E. Jenkins, A.V. Manohar and M. Trott, Renormalization Group Evolution of the Standard Model Dimension Six Operators I: Formalism and lambda Dependence, JHEP 10 (2013) 087 [arXiv:1308.2627] [INSPIRE].
E.E. Jenkins, A.V. Manohar and M. Trott, Renormalization Group Evolution of the Standard Model Dimension Six Operators II: Yukawa Dependence, JHEP 01 (2014) 035 [arXiv:1310.4838] [INSPIRE].
R. Alonso, E.E. Jenkins, A.V. Manohar and M. Trott, Renormalization Group Evolution of the Standard Model Dimension Six Operators III: Gauge Coupling Dependence and Phenomenology, JHEP 04 (2014) 159 [arXiv:1312.2014] [INSPIRE].
J. Fuentes-Martín et al., Evanescent operators in one-loop matching computations, JHEP 02 (2023) 031 [arXiv:2211.09144] [INSPIRE].
V. Bresó-Pla, A. Falkowski and M. González-Alonso, AFB in the SMEFT: precision Z physics at the LHC, JHEP 08 (2021) 021 [arXiv:2103.12074] [INSPIRE].
HFLAV collaboration, Averages of b-hadron, c-hadron, and
τ -lepton properties as of 2018, Eur. Phys. J. C 81 (2021) 226 [1909.12524].F. Lattice et al., The B → Dℓ
ν form factors at nonzero recoil and |Vcb| from 2 + 1-flavor lattice QCD, arXiv:1503.07237 [https://doi.org/10.48550/arXiv.1503.07237].HPQCD collaboration, B → Dl
ν form factors at nonzero recoil and extraction of |Vcb|, Phys. Rev. D 92 (2015) 054510 [Erratum ibid. 93 (2016) 119906] [arXiv:1505.03925] [INSPIRE].F.U. Bernlochner, Z. Ligeti, M. Papucci and D.J. Robinson, Combined analysis of semileptonic B decays to D and D*: R(D(*)), |Vcb|, and new physics, Phys. Rev. D 95 (2017) 115008 [Erratum ibid. 97 (2018) 059902] [arXiv:1703.05330] [INSPIRE].
P. Gambino, M. Jung and S. Schacht, The V puzzle: An update, Phys. Lett. B 795 (2019) 386.
M. Bordone, M. Jung and D. van Dyk, Theory determination of \( \overline{B}\to {D}^{\left(\ast \right)}{\ell}^{-}\overline{\nu} \) form factors at \( \mathcal{O}\left(1/{m}_c^2\right) \), Eur. Phys. J. C 80 (2020) 74 [arXiv:1908.09398].
G. Martinelli, S. Simula and L. Vittorio, |Vcb| and R(D(*)) using lattice QCD and unitarity, Phys. Rev. D 105 (2022) 034503 [arXiv:2105.08674] [INSPIRE].
R. Aaij et al., Observation of the decay \( {\Lambda}_b^0\to {\Lambda}_c^{+}{\tau}^{-}{\overline{\nu}}_{\tau } \), Phys. Rev. Lett. 128 (2022) 191803 [arXiv:2201.03497].
D. Bečirević and F. Jaffredo, Looking for the effects of New Physics in the
Λ b →Λ c(→Λ π )ℓν decay mode, arXiv:2209.13409.C. Cornella et al., Reading the footprints of the B-meson flavor anomalies, JHEP 08 (2021) 050 [arXiv:2103.16558] [INSPIRE].
CDF collaboration et al., High-precision measurement of the W boson mass with the CDF II detector, Science 376 (2022) 170.
L. Allwicher et al., HighPT: A Tool for high-pT Drell-Yan Tails Beyond the Standard Model, arXiv:2207.10756 [https://doi.org/10.48550/arXiv.2207.10756].
ATLAS collaboration, Search for heavy Higgs bosons decaying into two tau leptons with the ATLAS detector using pp collisions at \( \sqrt{s} \) = 13 TeV, Phys. Rev. Lett. 125 (2020) 051801 [arXiv:2002.12223] [INSPIRE].
CMS collaboration, Searches for additional Higgs bosons and for vector leptoquarks in
τ τ final states in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, arXiv:2208.02717.J. Aebischer et al., Confronting the vector leptoquark hypothesis with new low- and high-energy data, Eur. Phys. J. C 83 (2023) 153 [arXiv:2210.13422] [INSPIRE].
U. Haisch, L. Schnell and S. Schulte, Drell-Yan production in third-generation gauge vector leptoquark models at NLO + PS in QCD, JHEP 02 (2023) 070 [arXiv:2209.12780] [INSPIRE].
CMS collaboration, Search for pair production of vector-like quarks in leptonic final states in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, arXiv:2209.07327.
S. Antusch and O. Fischer, Non-unitarity of the leptonic mixing matrix: Present bounds and future sensitivities, JHEP 10 (2014) 094 [arXiv:1407.6607] [INSPIRE].
S. Antusch and O. Fischer, Testing sterile neutrino extensions of the Standard Model at future lepton colliders, JHEP 05 (2015) 053 [arXiv:1502.05915] [INSPIRE].
V. Gherardi, D. Marzocca and E. Venturini, Matching scalar leptoquarks to the SMEFT at one loop, JHEP 07 (2020) 225 [Erratum ibid. 01 (2021) 006] [arXiv:2003.12525] [INSPIRE].
J. Fuentes-Martín, G. Isidori, M. König and N. Selimović, Vector Leptoquarks Beyond Tree Level, Phys. Rev. D 101 (2020) 035024 [arXiv:1910.13474] [INSPIRE].
J. Fuentes-Martín, G. Isidori, M. König and N. Selimović, Vector leptoquarks beyond tree level. II. \( \mathcal{O} \)(
α s) corrections and radial modes, Phys. Rev. D 102 (2020) 035021 [arXiv:2006.16250] [INSPIRE].J. Fuentes-Martín, P. Ruiz-Femenia, A. Vicente and J. Virto, DsixTools 2.0: The Effective Field Theory Toolkit, Eur. Phys. J. C 81 (2021) 167 [arXiv:2010.16341] [INSPIRE].
ALEPH et al. collaborations, Precision electroweak measurements on the Z resonance, Phys. Rept. 427 (2006) 257 [hep-ex/0509008] [INSPIRE].
P. Janot and S. Jadach, Improved Bhabha cross section at LEP and the number of light neutrino species, Phys. Lett. B 803 (2020) 135319 [arXiv:1912.02067] [INSPIRE].
D. d’Enterria and C. Yan, Revised QCD effects on the Z → \( b\overline{b} \) forward-backward asymmetry, arXiv:2011.00530.
SLD collaboration, First direct measurement of the parity violating coupling of the Z0 to the s quark, Phys. Rev. Lett. 85 (2000) 5059 [hep-ex/0006019] [INSPIRE].
P.A. Zyla et al., Review of Particle Physics, PTEP 2020 (2020) 083C01.
ALEPH et al. collaborations, Electroweak Measurements in Electron-Positron Collisions at W-Boson-Pair Energies at LEP, Phys. Rept. 532 (2013) 119 [arXiv:1302.3415] [INSPIRE].
CDF collaboration, Measurements of inclusive W and Z cross sections in p anti-p collisions at \( \sqrt{s} \) = 1.96 TeV, J. Phys. G 34 (2007) 2457 [hep-ex/0508029] [INSPIRE].
LHCb collaboration, Measurement of forward W → e
ν production in pp collisions at \( \sqrt{s} \) = 8 TeV, JHEP 10 (2016) 030 [arXiv:1608.01484] [INSPIRE].ATLAS collaboration, Precision measurement and interpretation of inclusive W+, W− and Z/
γ * production cross sections with the ATLAS detector, Eur. Phys. J. C 77 (2017) 367 [arXiv:1612.03016] [INSPIRE].D0 collaboration, A measurement of the W →
τ ν production cross section in \( p\overline{p} \) collisions at \( \sqrt{s} \) = 1.8 TeV, Phys. Rev. Lett. 84 (2000) 5710 [hep-ex/9912065] [INSPIRE].ATLAS collaboration, Test of the universality of
τ andμ lepton couplings in W-boson decays with the ATLAS detector, Nature Phys. 17 (2021) 813 [arXiv:2007.14040] [INSPIRE].
Acknowledgments
We thank Javier Fuentes Martín and Felix Wilsch for useful discussions in relation to the one-loop matching of the model. This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme under grant agreement 833280 (FLAY), and by the Swiss National Science Foundation (SNF) under contract 200020-204428.
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Allwicher, L., Isidori, G., Lizana, J.M. et al. Third-family quark-lepton Unification and electroweak precision tests. J. High Energ. Phys. 2023, 179 (2023). https://doi.org/10.1007/JHEP05(2023)179
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DOI: https://doi.org/10.1007/JHEP05(2023)179