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.
Yukawa hierarchies from spontaneous breaking of the $\bma{SU(3)_L\times SU(3)_R}$ flavour symmetry?
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abstract
The tree level potential for a scalar multiplet of `Yukawa fields' $Y$ for one type of quarks admits the promising vacuum configuration $<Y> \propto {\rm diag}(0,0,1)$ that breaks spontaneously $SU(3)_L\times SU(3)_R$ flavour symmetry. We investigate whether the vanishing entries could be lifted to nonvanishing values by slightly perturbing the potential, thus providing a mechanism to generate the Yukawa hierarchies. For theories where at the lowest order the only massless states are Nambu-Goldstone bosons we find, as a general result, that the structure of the tree-level vacuum is perturbatively stable against corrections from scalar loops or higher dimensional operators. We discuss the reasons for this stability, and give an explicit illustration in the case of loop corrections by direct computation of the one-loop effective potential of Yukawa fields. Nevertheless, a hierarchical configuration $<Y>\propto {\rm diag}(\epsilon',\epsilon,1)$ (with $\epsilon', \epsilon\ll 1$) can be generated by enlarging the scalar Yukawa sector. We present a simple model in which spontaneous breaking of the flavour symmetry can give rise to the fermion mass hierarchies.
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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.
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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.