Gauged Lepton Flavour

Abstract

The gauging of the lepton flavour group is considered in the Standard Model context and in its extension with three right-handed neutrinos. The anomaly cancellation conditions lead to a Seesaw mechanism as underlying dynamics for all leptons; requiring in addition a phenomenologically viable setup leads to Majorana masses for the neutral sector: the type I Seesaw Lagrangian in the Standard Model case and the inverse Seesaw in the extended model. Within the minimal extension of the scalar sector, the Yukawa couplings are promoted to scalar fields in the bifundamental of the flavour group. The resulting low-energy Yukawa couplings are proportional to inverse powers of the vacuum expectation values of those scalars; the protection against flavour changing neutral currents differs from that of Minimal Flavor Violation. In all cases, the $\mu -\tau$ flavour sector exhibits rich and promising phenomenological signals.

42 pages, 9 figures, 2 tables; revised argument in section 2, results unchanged, references added

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Cited by in corpus (20)

• B-decay Anomalies in a Composite Leptoquark Model
• New Physics in $b\to s{\ell }^{+}{\ell }^{-}$ confronts new data on Lepton Universality
• Lepton Flavor Non-Universality in B decays from Dynamical Yukawas
• Anomaly-free local horizontal symmetry and anomaly-full rare B-decays
• The Minimal Flavour Violating Axion
• A clockwork solution to the flavor puzzle
• Hidden sector explanation of $B$-decay and cosmic ray anomalies
• $R_K$ and $R_{K^{\ast }}$ in an Aligned 2HDM with Right-Handed Neutrinos
• Dynamical Minimal Flavour Violating Inverse Seesaw
• The symmetry approach to quark and lepton masses and mixing
• Neutrino Masses and Hubble Tension via a Majoron in MFV
• Revisiting Minimal Lepton Flavour Violation in the Light of Leptonic CP Violation
• Distinguishing A Higgs-Like Dilaton Scenario With A Complete Bosonic Effective Field Theory Basis
• Leptogenesis in the Neutrino Option
• Predictive Leptogenesis from Minimal Lepton Flavour Violation
• Searching for BSM Physics in Yukawa Couplings and Flavour Symmetries
• Data Driven Flavour Model
• Gauging lepton flavor SU(3) for the muon $g-2$
• A Supersymmetric Flavor Clockwork
• A Bottom-Up Approach: The Data Driven Flavour Model