Abstract
While the properties of the observed Higgs boson agree with the Standard Model predictions, the hierarchy of fermion masses lacks an explanation within the model. In this work, we consider a fresh approach to this problem, involving a different Higgs doublet responsible for each quark mass. We construct a model with a gauged, non-anomalous U(1) family symmetry that fixes which fermion couples to which doublet with an \( \mathcal{O} \)(1) Yukawa coupling. The hierarchy of masses is generated by the hierarchy of vacuum expectation values of the Higgs fields. The model generically predicts a light, weakly coupled pseudoscalar. We verify that the model satisfies constraints from flavour changing neutral currents, Higgs phenomenology and electroweak precision tests.
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Acknowledgments
We would like to thank Per Osland for useful discussions. S.B. is grateful to the Korea Institute for Advanced Study for the support and warm hospitality shown during his visit. S.B. was supported in part by the National Research Foundation of Korea (NRF) grant funded by the Korean government (MSIT), Grant No. NRF-2018R1A2A3075605 and RS-2023-00270569. J.K. and L.V.-S. acknowledge support from the “Fundamental Research Program” of the Korea Institute for Advanced Study and the warm hospitality and stimulating environment during the early stages of this work. The research of L.V.-S. was supported by the Basic Science Research Program through the NRF grants NRF-2023R1A2C200536011, NRF-2020R1A6A1A03047877 (CQUeST) and NRF-RS-2023-00273508. L.V.-S. also acknowledges the routes 110A and 110B of the Seoul Transportation Authority for the reliable internet connection and the inspiring atmosphere. J.K. and P.K. were supported by the NRF through Grant No. NRF-2019R1A2C3005009.
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Baek, S., Kersten, J., Ko, P. et al. An unfamiliar way to generate the hierarchy of standard model fermion masses. J. High Energ. Phys. 2024, 143 (2024). https://doi.org/10.1007/JHEP02(2024)143
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DOI: https://doi.org/10.1007/JHEP02(2024)143