Gauge flavour unification: From the flavour puzzle to stable protons

Davighi, J. (2023) Gauge flavour unification: From the flavour puzzle to stable protons. Il nuovo cimento C, 46 (1). pp. 1-8. ISSN 1826-9885

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The idea of unification attempts to explain the complicated structure of the Standard Model (SM) in terms of fewer fundamental forces and/or matter fields. However, traditional GUTs based on SU(5) and Spin(10) shed no light on the existence of three generations of fermions, nor the distinctive pattern of their Yukawa couplings to the Higgs. In this proceeding I discuss two routes for unifying the SM gauge symmetry with its 3-family flavour symmetries: firstly, unifying flavour with electroweak symmetries via the group SU(4) × Sp(6)L × Sp(6)R; secondly, unifying flavour and colour via an SU(12) × SU(2)L × SU(2)R gauge theory. In either case, all three generations of SM fermions are unified into just two fundamental fields. In the larger part of the talk, I describe how the former model of “electroweak flavour unification” offers a compelling new explanation of hierarchical fermion masses and CKM angles. As a postscript, we will see that gauge flavour unification can have unexpected spin-offs not obviously related to flavour. In particular, the SU(12) × SU(2)L ×SU(2)R symmetry, when broken, typically leaves behind remnant discrete gauge symmetries that exactly stabilize protons to all orders.

Item Type: Article
Subjects: 500 Scienze naturali e Matematica > 530 Fisica
Depositing User: Marina Spanti
Date Deposited: 09 Feb 2023 13:03
Last Modified: 09 Feb 2023 13:03

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