Abstract
We investigate a local SU(3)F flavour symmetry for its viability in generating the masses for the quarks and charged leptons of the first two families through radiative corrections. Only the third-generation fermions get tree-level masses due to specific choice of the field content and their gauge charges. Unprotected by symmetry, the remaining fermions acquire non-vanishing masses through the quantum corrections induced by the gauge bosons of broken SU(3)F. We show that inter-generational hierarchy between the masses of the first two families arises if the flavour symmetry is broken with an intermediate SU(2) leading to a specific ordering in the masses of the gauge bosons. Based on this scheme, we construct an explicit and predictive model and show its viability in reproducing the realistic charged fermion masses and quark mixing parameters in terms of not-so-hierarchical fundamental couplings. The model leads to the strange quark mass, ms ≈ 16 MeV at MZ, which is ~2.4σ away from its current central value. Large flavour violations are a generic prediction of the scheme which pushes the masses of the new gauge bosons to 103 TeV or higher.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
H. Georgi and S.L. Glashow, Attempts to calculate the electron mass, Phys. Rev. D 7 (1973) 2457 [INSPIRE].
R.N. Mohapatra, Gauge Model for Chiral Symmetry Breaking and Muon electron Mass Ratio, Phys. Rev. D 9 (1974) 3461 [INSPIRE].
S.M. Barr and A. Zee, Calculating the Electron Mass in Terms of Measured Quantities, Phys. Rev. D 17 (1978) 1854 [INSPIRE].
F. Wilczek and A. Zee, Horizontal Interaction and Weak Mixing Angles, Phys. Rev. Lett. 42 (1979) 421 [INSPIRE].
T. Yanagida, Horizontal Symmetry and Mass of the Top Quark, Phys. Rev. D 20 (1979) 2986 [INSPIRE].
R. Barbieri and D.V. Nanopoulos, Hierarchical Fermion Masses From Grand Unification, Phys. Lett. B 95 (1980) 43 [INSPIRE].
B.S. Balakrishna, Fermion Mass Hierarchy From Radiative Corrections, Phys. Rev. Lett. 60 (1988) 1602 [INSPIRE].
B.S. Balakrishna, A.L. Kagan and R.N. Mohapatra, Quark Mixings and Mass Hierarchy From Radiative Corrections, Phys. Lett. B 205 (1988) 345 [INSPIRE].
B.S. Balakrishna, Radiatively induced lepton masses, Phys. Lett. B 214 (1988) 267 [INSPIRE].
B.S. Balakrishna and R.N. Mohapatra, Radiative Fermion Masses From New Physics at Tev Scale, Phys. Lett. B 216 (1989) 349 [INSPIRE].
K.S. Babu and X.-G. He, Fermion mass hierarchy and the strong CP problem, Phys. Lett. B 219 (1989) 342 [INSPIRE].
K.S. Babu, B.S. Balakrishna and R.N. Mohapatra, Supersymmetric Model for Fermion Mass Hierarchy, Phys. Lett. B 237 (1990) 221 [INSPIRE].
N. Arkani-Hamed, H.-C. Cheng and L.J. Hall, A Supersymmetric theory of flavor with radiative fermion masses, Phys. Rev. D 54 (1996) 2242 [hep-ph/9601262] [INSPIRE].
S.M. Barr, Radiative fermion mass hierarchy in a non-supersymmetric unified theory, Phys. Rev. D 76 (2007) 105024 [arXiv:0706.1490] [INSPIRE].
P.W. Graham and S. Rajendran, A Domino Theory of Flavor, Phys. Rev. D 81 (2010) 033002 [arXiv:0906.4657] [INSPIRE].
B.A. Dobrescu and P.J. Fox, Quark and lepton masses from top loops, JHEP 08 (2008) 100 [arXiv:0805.0822] [INSPIRE].
A. Crivellin, J. Girrbach and U. Nierste, Yukawa coupling and anomalous magnetic moment of the muon: an update for the LHC era, Phys. Rev. D 83 (2011) 055009 [arXiv:1010.4485] [INSPIRE].
A. Crivellin, L. Hofer, U. Nierste and D. Scherer, Phenomenological consequences of radiative flavor violation in the MSSM, Phys. Rev. D 84 (2011) 035030 [arXiv:1105.2818] [INSPIRE].
C.-W. Chiang and K. Yagyu, Radiative Seesaw Mechanism for Charged Leptons, Phys. Rev. D 103 (2021) L111302 [arXiv:2104.00890] [INSPIRE].
C.-W. Chiang, R. Obuchi and K. Yagyu, Dark sector as origin of light lepton mass and its phenomenology, JHEP 05 (2022) 070 [arXiv:2202.07784] [INSPIRE].
M.J. Baker, P. Cox and R.R. Volkas, Has the Origin of the Third-Family Fermion Masses been Determined?, JHEP 04 (2021) 151 [arXiv:2012.10458] [INSPIRE].
M.J. Baker, P. Cox and R.R. Volkas, Radiative muon mass models and (g − 2)μ, JHEP 05 (2021) 174 [arXiv:2103.13401] [INSPIRE].
W. Yin, Radiative lepton mass and muon g − 2 with suppressed lepton flavor and CP violations, JHEP 08 (2021) 043 [arXiv:2103.14234] [INSPIRE].
A. Hernandez Galeana and J.H. Montes de Oca Yemha, Radiative generation of light fermion masses in a SU(3)(H) horizontal symmetry model, Rev. Mex. Fis. 50 (2004) 522 [hep-ph/0406315] [INSPIRE].
T. Appelquist, Y. Bai and M. Piai, Quark mass ratios and mixing angles from SU(3) family gauge symmetry, Phys. Lett. B 637 (2006) 245 [hep-ph/0603104] [INSPIRE].
M. Reig, J.W.F. Valle and F. Wilczek, SO(3) family symmetry and axions, Phys. Rev. D 98 (2018) 095008 [arXiv:1805.08048] [INSPIRE].
S. Weinberg, Models of Lepton and Quark Masses, Phys. Rev. D 101 (2020) 035020 [arXiv:2001.06582] [INSPIRE].
S. Jana, S. Klett and M. Lindner, Flavor seesaw mechanism, Phys. Rev. D 105 (2022) 115015 [arXiv:2112.09155] [INSPIRE].
G. Mohanta and K.M. Patel, Radiatively generated fermion mass hierarchy from flavor nonuniversal gauge symmetries, Phys. Rev. D 106 (2022) 075020 [arXiv:2207.10407] [INSPIRE].
A. Hernandez-Galeana, Charged Fermion Masses and Mixing from a SU(3) Family Symmetry Model, Bled Workshops Phys. 16 (2015) 47 [arXiv:1602.08212] [INSPIRE].
S. Weinberg, Electromagnetic and weak masses, Phys. Rev. Lett. 29 (1972) 388 [INSPIRE].
A.S. Joshipura, N. Mahajan and K.M. Patel, Generalised μ-τ symmetries and calculable gauge kinetic and mass mixing in \( \textrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} \) models, JHEP 03 (2020) 001 [arXiv:1909.02331] [INSPIRE].
V.S. Mummidi and K.M. Patel, Leptogenesis and fermion mass fit in a renormalizable SO(10) model, JHEP 12 (2021) 042 [arXiv:2109.04050] [INSPIRE].
UTfit collaboration, Model-independent constraints on ∆F = 2 operators and the scale of new physics, JHEP 03 (2008) 049 [arXiv:0707.0636] [INSPIRE].
M. Ciuchini et al., Delta M(K) and epsilon(K) in SUSY at the next-to-leading order, JHEP 10 (1998) 008 [hep-ph/9808328] [INSPIRE].
D. Becirevic et al., Bd − \( \overline{B} \)d mixing and the Bd → J/ψKs asymmetry in general SUSY models, Nucl. Phys. B 634 (2002) 105 [hep-ph/0112303] [INSPIRE].
SINDRUM II collaboration, A Search for muon to electron conversion in muonic gold, Eur. Phys. J. C 47 (2006) 337 [INSPIRE].
R. Kitano, M. Koike and Y. Okada, Detailed calculation of lepton flavor violating muon electron conversion rate for various nuclei, Phys. Rev. D 66 (2002) 096002 [Erratum ibid. 76 (2007) 059902] [hep-ph/0203110] [INSPIRE].
A. Smolkovič, M. Tammaro and J. Zupan, Anomaly free Froggatt-Nielsen models of flavor, JHEP 10 (2019) 188 [Erratum ibid. 02 (2022) 033] [arXiv:1907.10063] [INSPIRE].
L. Calibbi and G. Signorelli, Charged Lepton Flavour Violation: An Experimental and Theoretical Introduction, Riv. Nuovo Cim. 41 (2018) 71 [arXiv:1709.00294] [INSPIRE].
P. Ramond, Journeys beyond the standard model, Front.Phys. 101 (1999) 1 [INSPIRE].
L. Lavoura, General formulae for f(1) → f(2)γ, Eur. Phys. J. C 29 (2003) 191 [hep-ph/0302221] [INSPIRE].
CMS collaboration, Search for narrow and broad dijet resonances in proton-proton collisions at \( \sqrt{s} \) = 13 TeV and constraints on dark matter mediators and other new particles, JHEP 08 (2018) 130 [arXiv:1806.00843] [INSPIRE].
ATLAS collaboration, Search for pair production of heavy vector-like quarks decaying into high-pT W bosons and top quarks in the lepton-plus-jets final state in pp collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, JHEP 08 (2018) 048 [arXiv:1806.01762] [INSPIRE].
CMS collaboration, A search for bottom-type, vector-like quark pair production in a fully hadronic final state in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, Phys. Rev. D 102 (2020) 112004 [arXiv:2008.09835] [INSPIRE].
CMS collaboration, Search for vector-like quarks in events with two oppositely charged leptons and jets in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, Eur. Phys. J. C 79 (2019) 364 [arXiv:1812.09768] [INSPIRE].
ATLAS collaboration, Combination of the searches for pair-produced vector-like partners of the third-generation quarks at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, Phys. Rev. Lett. 121 (2018) 211801 [arXiv:1808.02343] [INSPIRE].
Acknowledgments
This work is partially supported under the MATRICS project (MTR/2021/000049) by the Science & Engineering Research Board (SERB), Department of Science and Technology (DST), Government of India. KMP acknowledges support from the ICTP through the Associates Programme (2023-2028) where part of this work was completed and preliminary results were presented.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2308.05642
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Mohanta, G., Patel, K.M. Gauged SU(3)F and loop induced quark and lepton masses. J. High Energ. Phys. 2023, 128 (2023). https://doi.org/10.1007/JHEP10(2023)128
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP10(2023)128