Abstract
We study the phenomenology of a unified supersymmetric theory with a flavor symmetry Δ(27). The model accommodates quark and lepton masses, mixing angles and CP phases. In this model, the Dirac and Majorana mass matrices have a unified texture zero structure in the (1, 1) entry that leads to the Gatto-Sartori-Tonin relation between the Cabibbo angle and ratios of the masses in the quark sectors, and to a natural departure from zero of the θ13ℓ angle in the lepton sector. We derive the flavor structures of the trilinears and soft mass matrices, and show their general non-universality. This causes large flavor violating effects. As a consequence, the parameter space for this model is constrained, allowing it to be (dis)proven by flavor violation searches in the next decade. Although the results are model specific, we compare them to previous studies to show similar flavor effects (and associated constraints) are expected in general in supersymmetric flavor models, and may be used to distinguish them.
Highlights
JHEP09(2018)047 postdictions, for example the Gatto-Sartori-Tonin relation between the Cabibbo angle and the quark mass ratios: sin θc =
We study the phenomenology of a unified supersymmetric theory with a flavor symmetry ∆(27)
We outline the main results of previous works [1, 2], showing that strongly nonuniversal structures generally arise in SUSY models augmented with a flavor symmetry broken at a scale Λf ΛMed
Summary
We outline the main results of previous works [1, 2], showing that strongly nonuniversal structures generally arise in SUSY models augmented with a flavor symmetry broken at a scale Λf ΛMed. (2.3) and (2.4) are very useful, since they allow to calculate the missmatch factors without knowing the exact underlying theory from the number of flavon insertions or, equivalently, the order of the operator behind each Yukawa Once this is done, rotations of the fields should be performed to study the phenomenology, first to canonically normalize the Kahler metric and to the fermion mass basis. [3] a detailed numerical fit was performed considering both only leading order (L.O.) terms or including higher order (H.O.) corrections, and it was founf that the present measurements of the fermion masses and mixings in the lepton and quark sectors, can be accommodated.
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