Yukawa hierarchies are generated from powers of fully anarchic spurions in higher SU(2) and SU(3) flavor representations via progressive rank lifting through composite outer products, with explicit models and predictions for FCNCs and stochastic gravitational waves.
Neutrino Mixing and Masses from a Minimum Principle
3 Pith papers cite this work. Polarity classification is still indexing.
abstract
We analyze the structure of quark and lepton mass matrices under the hypothesis that they are determined from a minimum principle applied to a generic potential invariant under the $\left[SU(3)\right]^5\otimes \mathcal O(3)$ flavor symmetry, acting on Standard Model fermions and right-handed neutrinos. Unlike the quark case, we show that hierarchical masses for charged leptons are naturally accompanied by degenerate Majorana neutrinos with one mixing angle close to maximal, a second potentially large, a third one necessarily small, and one maximal relative Majorana phase. Adding small perturbations the predicted structure for the neutrino mass matrix is in excellent agreement with present observations and could be tested in the near future via neutrino-less double beta decay and cosmological measurements. The generalization of these results to arbitrary sew-saw models is also discussed.
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Introduces a new class of flavor models using non-minimal irreducible representations for the flavor-breaking spurion to generate fermion mass hierarchies accidentally from O(1) UV parameters via multiple insertions, relying on non-Abelian symmetries and predicting unique flavor-violating operators.
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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Hierarchies from Higher Flavor Spin
Yukawa hierarchies are generated from powers of fully anarchic spurions in higher SU(2) and SU(3) flavor representations via progressive rank lifting through composite outer products, with explicit models and predictions for FCNCs and stochastic gravitational waves.
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Flavor hierarchies with nonminimal irreducible representations
Introduces a new class of flavor models using non-minimal irreducible representations for the flavor-breaking spurion to generate fermion mass hierarchies accidentally from O(1) UV parameters via multiple insertions, relying on non-Abelian symmetries and predicting unique flavor-violating operators.
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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.