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.
Mass Matrix Models: The Sequel
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abstract
The smallness of the quark sector parameters and the hierarchy between them could be the result of a horizontal symmetry broken by a small parameter. Such an explicitly broken symmetry can arise from an exact symmetry which is spontaneously broken. Constraints on the scales of new physics arise {}from new flavor changing interactions and {}from Landau poles, but do not exclude the possibility of observable signatures at the TeV scale. Such a horizontal symmetry could also lead to many interesting results: (i) quark -- squark alignment that would suppress, without squark degeneracy, flavor changing neutral currents induced by supersymmetric particles, (ii) exact relations between mass ratios and mixing angles, (iii) a solution of the $\mu$-problem and (iv) a natural mechanism for obtaining hierarchy among various symmetry breaking scales.
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UNVERDICTED 2representative citing papers
SU(2)_F bosons in a U(2)_F flavor model induce unsuppressed flavor-violating couplings, with K to pi X and mu to e X constraining the breaking scale v_phi to 10^11-10^12 GeV for light bosons and other processes constraining heavier states.
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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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Phenomenology of Non-Abelian Gauge and Goldstone Bosons in a U(2) Flavor Model
SU(2)_F bosons in a U(2)_F flavor model induce unsuppressed flavor-violating couplings, with K to pi X and mu to e X constraining the breaking scale v_phi to 10^11-10^12 GeV for light bosons and other processes constraining heavier states.