Abstract
We analyse how U(3)5 and U(2)5 flavour symmetries act on the Standard Model Effective Field Theory, providing an organising principle to classify the large number of dimension-six operators involving fermion fields. A detailed counting of such operators, at different order in the breaking terms of both these symmetries, is presented. A brief discussion about possible deviations from these two reference cases, and a simple example of the usefulness of this classification scheme for high-pT analyses at the LHC, are also presented.
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W. Buchmüller and D. Wyler, Effective Lagrangian analysis of new interactions and flavor conservation, Nucl. Phys. B 268 (1986) 621 [INSPIRE].
B. Grzadkowski, M. Iskrzynski, M. Misiak and J. Rosiek, Dimension-six terms in the Standard Model Lagrangian, JHEP 10 (2010) 085 [arXiv:1008.4884] [INSPIRE].
E.E. Jenkins, A.V. Manohar and M. Trott, Renormalization group evolution of the Standard Model dimension six operators I: formalism and λ 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].
I. Brivio and M. Trott, The Standard Model as an effective field theory, Phys. Rept. 793 (2019) 1 [arXiv:1706.08945] [INSPIRE].
A. Falkowski, M. Gonzáalez-Alonso and K. Mimouni, Compilation of low-energy constraints on 4-fermion operators in the SMEFT, JHEP 08 (2017) 123 [arXiv:1706.03783] [INSPIRE].
S. Descotes-Genon, A. Falkowski, M. Fedele, M. González-Alonso and J. Virto, The CKM parameters in the SMEFT, JHEP 05 (2019) 172 [arXiv:1812.08163] [INSPIRE].
L. Silvestrini and M. Valli, Model-independent bounds on the Standard Model effective theory from flavour physics, Phys. Lett. B 799 (2019) 135062 [arXiv:1812.10913] [INSPIRE].
A. Falkowski and D. Straub, Flavourful SMEFT likelihood for Higgs and electroweak data, JHEP 04 (2020) 066 [arXiv:1911.07866] [INSPIRE].
R. Aoude, T. Hurth, S. Renner and W. Shepherd, The impact of flavour data on global fits of the MFV SMEFT, arXiv:2003.05432 [INSPIRE].
A. Helset and A. Kobach, Baryon number, lepton number, and operator dimension in the SMEFT with flavor symmetries, Phys. Lett. B 800 (2020) 135132 [arXiv:1909.05853] [INSPIRE].
G. Isidori, Y. Nir and G. Perez, Flavor physics constraints for physics beyond the Standard Model, Ann. Rev. Nucl. Part. Sci. 60 (2010) 355 [arXiv:1002.0900] [INSPIRE].
R. Chivukula and H. Georgi, Composite technicolor Standard Model, Phys. Lett. B 188 (1987) 99 [INSPIRE].
G. D’Ambrosio, G.F. Giudice, G. Isidori and A. Strumia, Minimal flavor violation: an effective field theory approach, Nucl. Phys. B 645 (2002) 155 [hep-ph/0207036] [INSPIRE].
R. Barbieri, G. Isidori, J. Jones-Perez, P. Lodone and D.M. Straub, U(2) and minimal flavour violation in supersymmetry, Eur. Phys. J. C 71 (2011) 1725 [arXiv:1105.2296] [INSPIRE].
R. Barbieri, D. Buttazzo, F. Sala and D.M. Straub, Flavour physics from an approximate U(2)3 symmetry, JHEP 07 (2012) 181 [arXiv:1203.4218] [INSPIRE].
G. Blankenburg, G. Isidori and J. Jones-Perez, Neutrino masses and LFV from minimal breaking of U(3)5 and U(2)5 flavor symmetries, Eur. Phys. J. C 72 (2012) 2126 [arXiv:1204.0688] [INSPIRE].
A. Greljo, G. Isidori and D. Marzocca, On the breaking of lepton flavor universality in B decays, JHEP 07 (2015) 142 [arXiv:1506.01705] [INSPIRE].
R. Barbieri, G. Isidori, A. Pattori and F. Senia, Anomalies in B-decays and U(2) flavour symmetry, Eur. Phys. J. C 76 (2016) 67 [arXiv:1512.01560] [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].
C.D. Froggatt and H.B. Nielsen, Hierarchy of quark masses, Cabibbo angles and CP-violation, Nucl. Phys. B 147 (1979) 277 [INSPIRE].
M. Bordone, O. Catà and T. Feldmann, Effective theory approach to new physics with flavour: general framework and a leptoquark example, JHEP 01 (2020) 067 [arXiv:1910.02641] [INSPIRE].
J.M. Gerard, Fermion mass spectrum in SU(2)L × U(1), Z. Phys. C 18 (1983) 145 [INSPIRE].
I. Brivio, Y. Jiang and M. Trott, The SMEFTsim package, theory and tools, JHEP 12 (2017) 070 [arXiv:1709.06492] [INSPIRE].
T. Feldmann and T. Mannel, Large top mass and non-linear representation of flavour symmetry, Phys. Rev. Lett. 100 (2008) 171601 [arXiv:0801.1802] [INSPIRE].
A.L. Kagan, G. Perez, T. Volansky and J. Zupan, General minimal flavor violation, Phys. Rev. D 80 (2009) 076002 [arXiv:0903.1794] [INSPIRE].
F. Arias-Aragón, C. Bouthelier-Madre, J.M. Cano and L. Merlo, Data driven flavour model, arXiv:2003.05941 [INSPIRE].
A. Greljo and D. Marzocca, High-pT dilepton tails and flavor physics, Eur. Phys. J. C 77 (2017) 548 [arXiv:1704.09015] [INSPIRE].
J. Butterworth et al., PDF4LHC recommendations for LHC run II, J. Phys. G 43 (2016) 023001 [arXiv:1510.03865] [INSPIRE].
Particle Data Group collaboration, Review of particle physics, Phys. Rev. D 98 (2018) 030001 [INSPIRE].
A. Angelescu, D.A. Faroughy and O. Sumensari, Lepton flavor violation and dilepton tails at the LHC, Eur. Phys. J. C 80 (2020) 641 [arXiv:2002.05684] [INSPIRE].
J. Fuentes-Martin, A. Greljo, J. Martin Camalich and J.D. Ruiz-Alvarez, Charm physics confronts high-pT lepton tails, arXiv:2003.12421 [INSPIRE].
J. Fuentes-Martín, G. Isidori, J. Pagès and K. Yamamoto, With or without U(2)? Probing non-standard flavor and helicity structures in semileptonic B decays, Phys. Lett. B 800 (2020) 135080 [arXiv:1909.02519] [INSPIRE].
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ArXiv ePrint: 2005.05366
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Faroughy, D.A., Isidori, G., Wilsch, F. et al. Flavour symmetries in the SMEFT. J. High Energ. Phys. 2020, 166 (2020). https://doi.org/10.1007/JHEP08(2020)166
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DOI: https://doi.org/10.1007/JHEP08(2020)166