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

References in corpus (22)

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• Test of lepton universality using $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
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• The NuTeV Anomaly, Lepton Universality, and Non-Universal Neutrino-Gauge Couplings
• Gauged Flavor Group with Left-Right Symmetry
• The contribution of fermionic seesaws to the anomalous magnetic moment of leptons
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Cited by in corpus (2)

• B-decay Anomalies in a Composite Leptoquark Model
• Lepton Flavor Non-Universality in B decays from Dynamical Yukawas