A gauged SO(3) flavour symmetry broken at multiple scales generates SM fermion masses, redistributes a lepton asymmetry into baryon and dark matter asymmetries via sphalerons, and yields dark matter as bound states of a confining SU(3), with mirror fermions required for anomaly cancellation.
Gauged Lepton Flavour
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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.
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Leptophilic ALPs with m_a > f_a can explain the electron anomalous magnetic moment tension over a large parameter space and are testable via μ→e conversion.
Upcoming neutrino experiments are projected to substantially reduce the number of viable leptonic flavor models in five popular classes by measuring mass ordering, theta_23 octant, delta_CP, and absolute mass scale.
citing papers explorer
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Gauged Flavour for Asymmetric Dark Matter
A gauged SO(3) flavour symmetry broken at multiple scales generates SM fermion masses, redistributes a lepton asymmetry into baryon and dark matter asymmetries via sphalerons, and yields dark matter as bound states of a confining SU(3), with mirror fermions required for anomaly cancellation.
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Crossing into the $m_a > f_a$ Region for Leptophilic ALPs
Leptophilic ALPs with m_a > f_a can explain the electron anomalous magnetic moment tension over a large parameter space and are testable via μ→e conversion.
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The Future of Lepton Flavor
Upcoming neutrino experiments are projected to substantially reduce the number of viable leptonic flavor models in five popular classes by measuring mass ordering, theta_23 octant, delta_CP, and absolute mass scale.