Abstract
Flavor deconstruction refers to ultraviolet completions of the Standard Model where the gauge group is split into multiple factors under which fermions transform non-universally. We propose a mechanism for charging same-family fermions into different factors of a deconstructed gauge theory in a way that gauge anomalies are avoided. The mechanism relies in the inclusion of a strongly-coupled sector, responsible of both anomaly cancellation and the breaking of the non-universal gauge symmetry. As an application, we propose different flavor deconstructions of the Standard Model that, instead of complete families, uniquely identify specific third-family fermions. All these deconstructions allow for a new physics scale that can be as low as few TeV and provide an excellent starting point for the explanation of the Standard Model flavor hierarchies.
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References
L. Allwicher, C. Cornella, G. Isidori and B.A. Stefanek, New physics in the third generation. A comprehensive SMEFT analysis and future prospects, JHEP 03 (2024) 049 [ar**v:2311.00020] [INSPIRE].
Z.G. Berezhiani and R. Rattazzi, Inverse hierarchy approach to fermion masses, Nucl. Phys. B 407 (1993) 249 [hep-ph/9212245] [INSPIRE].
R. Barbieri, G.R. Dvali and A. Strumia, Fermion masses and mixings in a flavor symmetric GUT, Nucl. Phys. B 435 (1995) 102 [hep-ph/9407239] [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 [ar**v:1603.06609] [INSPIRE].
H. Georgi, A Tool Kit for Builders of Composite Models, Nucl. Phys. B 266 (1986) 274 [INSPIRE].
N. Arkani-Hamed, A.G. Cohen and H. Georgi, (De)constructing dimensions, Phys. Rev. Lett. 86 (2001) 4757 [hep-th/0104005] [INSPIRE].
C.T. Hill, S. Pokorski and J. Wang, Gauge Invariant Effective Lagrangian for Kaluza-Klein Modes, Phys. Rev. D 64 (2001) 105005 [hep-th/0104035] [INSPIRE].
R.S. Chivukula, E.H. Simmons and N. Vignaroli, A Flavorful Top-Coloron Model, Phys. Rev. D 87 (2013) 075002 [ar**v:1302.1069] [INSPIRE].
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 [ar**v:1712.01368] [INSPIRE].
A. Greljo and B.A. Stefanek, Third family quark-lepton unification at the TeV scale, Phys. Lett. B 782 (2018) 131 [ar**v:1802.04274] [INSPIRE].
J. Davighi and G. Isidori, Non-universal gauge interactions addressing the inescapable link between Higgs and flavour, JHEP 07 (2023) 147 [ar**v:2303.01520] [INSPIRE].
M. Fernández Navarro and S.F. King, Tri-hypercharge: a separate gauged weak hypercharge for each fermion family as the origin of flavour, JHEP 08 (2023) 020 [ar**v:2305.07690] [INSPIRE].
J. Davighi and B.A. Stefanek, Deconstructed hypercharge: a natural model of flavour, JHEP 11 (2023) 100 [ar**v:2305.16280] [INSPIRE].
M. Fernández Navarro, S.F. King and A. Vicente, Tri-unification: a separate SU(5) for each fermion family, JHEP 05 (2024) 130 [ar**v:2311.05683] [INSPIRE].
J. Davighi, A. Gosnay, D.J. Miller and S. Renner, Phenomenology of a Deconstructed Electroweak Force, JHEP 05 (2024) 085 [ar**v:2312.13346] [INSPIRE].
R. Barbieri and G. Isidori, Minimal flavour deconstruction, JHEP 05 (2024) 033 [ar**v:2312.14004] [INSPIRE].
B. Capdevila, A. Crivellin, J.M. Lizana and S. Pokorski, SU(2)L deconstruction and flavour (non)-universality, ar**v:2401.00848 [INSPIRE].
C. Cornella, J. Fuentes-Martín and G. Isidori, Revisiting the vector leptoquark explanation of the B-physics anomalies, JHEP 07 (2019) 168 [ar**v:1903.11517] [INSPIRE].
C. Cornella et al., Reading the footprints of the B-meson flavor anomalies, JHEP 08 (2021) 050 [ar**v:2103.16558] [INSPIRE].
Ò.L. Crosas et al., Flavor non-universal vector leptoquark imprints in K→ \( \pi \nu \overline{\nu} \) and ∆F = 2 transitions, Phys. Lett. B 835 (2022) 137525 [ar**v:2207.00018] [INSPIRE].
L. Allwicher et al., Third-family quark-lepton Unification and electroweak precision tests, JHEP 05 (2023) 179 [ar**v:2302.11584] [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 [ar**v:2209.12780] [INSPIRE].
B. Capdevila, A. Crivellin and J. Matias, Review of semileptonic B anomalies, Eur. Phys. J. ST 1 (2023) 20 [ar**v:2309.01311] [INSPIRE].
P. Koppenburg, Flavour Physics at LHCb — 50 years of the KM paradigm, ar**v:2310.10504 [INSPIRE].
J.C. Pati and A. Salam, Lepton Number as the Fourth Color, Phys. Rev. D 10 (1974) 275 [INSPIRE].
J. Davighi, Anomalous Z’ bosons for anomalous B decays, JHEP 08 (2021) 101 [ar**v:2105.06918] [INSPIRE].
S. Antusch, A. Greljo, B.A. Stefanek and A.E. Thomsen, U(2) Is Right for Leptons and Left for Quarks, Phys. Rev. Lett. 132 (2024) 151802 [ar**v:2311.09288] [INSPIRE].
J. Fuentes-Martín and P. Stangl, Third-family quark-lepton unification with a fundamental composite Higgs, Phys. Lett. B 811 (2020) 135953 [ar**v:2004.11376] [INSPIRE].
J. Davighi, B. Gripaios and N. Lohitsiri, Global anomalies in the Standard Model(s) and Beyond, JHEP 07 (2020) 232 [ar**v:1910.11277] [INSPIRE].
E. Witten, An SU(2) Anomaly, Phys. Lett. B 117 (1982) 324 [INSPIRE].
J. Wess and B. Zumino, Consequences of anomalous Ward identities, Phys. Lett. B 37 (1971) 95 [INSPIRE].
K. Yonekura, General anomaly matching by Goldstone bosons, JHEP 03 (2021) 057 [ar**v:2009.04692] [INSPIRE].
Y. Lee, K. Ohmori and Y. Tachikawa, Revisiting Wess-Zumino-Witten terms, SciPost Phys. 10 (2021) 061 [ar**v:2009.00033] [INSPIRE].
E. Witten, Global Aspects of Current Algebra, Nucl. Phys. B 223 (1983) 422 [INSPIRE].
O. Alvarez, Topological Quantization and Cohomology, Commun. Math. Phys. 100 (1985) 279 [INSPIRE].
J. Davighi and B. Gripaios, Homological classification of topological terms in sigma models on homogeneous spaces, JHEP 09 (2018) 155 [Erratum ibid. 11 (2018) 143] [ar**v:1803.07585] [INSPIRE].
J. Davighi, B. Gripaios and O. Randal-Williams, Differential cohomology and topological actions in physics, ar**v:2011.05768 [INSPIRE].
S. Weinberg, The quantum theory of fields. Volume 2: Modern applications, Cambridge University Press (2013) [https://doi.org/10.1017/CBO9781139644174] [INSPIRE].
C.-S. Chu, P.-M. Ho and B. Zumino, NonAbelian anomalies and effective actions for a homogeneous space G/H, Nucl. Phys. B 475 (1996) 484 [hep-th/9602093] [INSPIRE].
C.M. Hull and B.J. Spence, The geometry of the gauged sigma model with Wess-Zumino term, Nucl. Phys. B 353 (1991) 379 [INSPIRE].
T. Brauner and H. Kolešová, Gauged Wess-Zumino terms for a general coset space, Nucl. Phys. B 945 (2019) 114676 [ar**v:1809.05310] [INSPIRE].
J.M. Maldacena, The large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200] [INSPIRE].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
T. Gherghetta, A Holographic View of Beyond the Standard Model Physics, in the proceedings of the Theoretical Advanced Study Institute in Elementary Particle Physics: Physics of the Large and the Small, Boulder, U.S.A., June 01–26 (2009) [https://doi.org/10.1142/9789814327183_0004] [ar**v:1008.2570] [INSPIRE].
C.T. Hill, Exact equivalence of the D = 4 gauged Wess-Zumino-Witten term and the D = 5 Yang-Mills Chern-Simons term, Phys. Rev. D 73 (2006) 126009 [hep-th/0603060] [INSPIRE].
N. Arkani-Hamed, A.G. Cohen and H. Georgi, Anomalies on orbifolds, Phys. Lett. B 516 (2001) 395 [hep-th/0103135] [INSPIRE].
B. Gripaios and S.M. West, Anomaly holography, Nucl. Phys. B 789 (2008) 362 [ar**v:0704.3981] [INSPIRE].
G. Panico and A. Wulzer, Effective action and holography in 5D gauge theories, JHEP 05 (2007) 060 [hep-th/0703287] [INSPIRE].
P. Fileviez Perez and M.B. Wise, Low Scale Quark-Lepton Unification, Phys. Rev. D 88 (2013) 057703 [ar**v:1307.6213] [INSPIRE].
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 [ar**v:2012.10492] [INSPIRE].
J. Fuentes-Martín et al., Flavor hierarchies, flavor anomalies, and Higgs mass from a warped extra dimension, Phys. Lett. B 834 (2022) 137382 [ar**v:2203.01952] [INSPIRE].
T.P. Dutka and J. Gargalionis, Dimension-five baryon-number violation in low-scale Pati-Salam models, Phys. Rev. D 107 (2023) 035019 [ar**v:2211.02054] [INSPIRE].
A. Greljo and A.E. Thomsen, Rising through the ranks: flavor hierarchies from a gauged SU(2) symmetry, Eur. Phys. J. C 84 (2024) 213 [ar**v:2309.11547] [INSPIRE].
A. Greljo, A. Palavrić and A.E. Thomsen, Adding Flavor to the SMEFT, JHEP 10 (2022) 005 [ar**v:2203.09561] [INSPIRE].
J. Aebischer et al., Confronting the vector leptoquark hypothesis with new low- and high-energy data, Eur. Phys. J. C 83 (2023) 153 [ar**v:2210.13422] [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 [ar**v:1901.10480] [INSPIRE].
U. Haisch and G. Polesello, Resonant third-generation leptoquark signatures at the Large Hadron Collider, JHEP 05 (2021) 057 [ar**v:2012.11474] [INSPIRE].
X. Li and E. Ma, Gauge Model of Generation Nonuniversality, Phys. Rev. Lett. 47 (1981) 1788 [INSPIRE].
D.J. Muller and S. Nandi, Top flavor: A Separate SU(2) for the third family, Phys. Lett. B 383 (1996) 345 [hep-ph/9602390] [INSPIRE].
E. Malkawi, T.M.P. Tait and C.P. Yuan, A model of strong flavor dynamics for the top quark, Phys. Lett. B 385 (1996) 304 [hep-ph/9603349] [INSPIRE].
C.-W. Chiang, N.G. Deshpande, X.-G. He and J. Jiang, The family SU(2)l × SU(2)h × U(1) Model, Phys. Rev. D 81 (2010) 015006 [ar**v:0911.1480] [INSPIRE].
K. Hsieh, K. Schmitz, J.-H. Yu and C.-P. Yuan, Global Analysis of General SU(2) × SU(2) × U(1) Models with Precision Data, Phys. Rev. D 82 (2010) 035011 [ar**v:1003.3482] [INSPIRE].
J. Fuentes-Martín, J. Portoles and P. Ruiz-Femenia, Instanton-mediated baryon number violation in non-universal gauge extended models, JHEP 01 (2015) 134 [ar**v:1411.2471] [INSPIRE].
S.M. Boucenna et al., Non-abelian gauge extensions for B-decay anomalies, Phys. Lett. B 760 (2016) 214 [ar**v:1604.03088] [INSPIRE].
S.M. Boucenna et al., Phenomenology of an SU(2) × SU(2) × U(1) model with lepton-flavour non-universality, JHEP 12 (2016) 059 [ar**v:1608.01349] [INSPIRE].
J. Davighi and J. Tooby-Smith, Electroweak flavour unification, JHEP 09 (2022) 193 [ar**v:2201.07245] [INSPIRE].
Acknowledgments
We would like to thank Joe Davighi and Nudžeim Selimović for useful discussions. We further thank Joe Davighi for helpful comments on the manuscript. The work of JFM is supported by the Spanish Ministry of Science and Innovation (MCIN) and the European Union NextGenerationEU/PRTR under grant IJC2020-043549-I, by the MCIN and State Research Agency (SRA) projects PID2019-106087GB-C22 and PID2022-139466NB-C21 (ERDF), and by the Junta de Andalucia projects P21_00199 and FQM101. The work of JML has been supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program under grant agreement 833280 (FLAY) in the initial stages of the project, and by the grant CSIC-20223AT023 in the final ones. JML also acknowledges the support of the Spanish Agencia Estatal de Investigacion through the grant “IFT Centro de Excelencia Severo Ochoa CEX2020-001007-S”.
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Fuentes-Martín, J., Lizana, J.M. Deconstructing flavor anomalously. J. High Energ. Phys. 2024, 117 (2024). https://doi.org/10.1007/JHEP07(2024)117
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DOI: https://doi.org/10.1007/JHEP07(2024)117