Abstract
Supersymmetric theories supplemented by an underlying flavor-symmetry {mathcal{G}}_f provide a rich playground for model building aimed at explaining the flavor structure of the Standard Model. In the case where supersymmetry breaking is mediated by gravity, the soft-breaking Lagrangian typically exhibits large tree-level flavor violating effects, even if it stems from an ultraviolet flavor-conserving origin. Building on previous work, we continue our phenomenological analysis of these models with a particular emphasis on leptonic flavor observables. We consider three representative models which aim to explain the flavor structure of the lepton sector, with symmetry groups {mathcal{G}}_f=Delta (27) , A4, and S3.
Highlights
One curious legacy of the Standard Model (SM) is its rich flavor structure, which has historically [1] proven invaluable and complementary to direct searches for sniffing out new particles
In all generality the MSSM contains a host of unknown parameters in the flavor sector, in a previous work [4] we explored a specific class of predictive models where the MSSM emerges as an effective theory from an ultraviolet flavor-symmetric theory
We review and update the results of our previous work [4], demonstrating that in SUSY models augmented with a flavor symmetry spontaneously broken at a scale Λf ≤ ΛS, flavor violation in the soft-breaking terms is generically present in the low-energy effective theory
Summary
We review and update the results of our previous work [4], demonstrating that in SUSY models augmented with a flavor symmetry spontaneously broken at a scale Λf ≤ ΛS, flavor violation in the soft-breaking terms is generically present in the low-energy effective theory. In the case of several flavon fields in complex representations of Gf , as is the case of typical non-Abelian models, the leading contributions appear in the form ΦrΦ†r,2 This can be depicted in terms of supergraphs, where superfields may both enter (undaggered) or leave (daggered) a given vertex. (2.2) and (2.5) are useful in the sense that without knowing precisely the underlying theory, the mismatch factors can be quickly calculated solely in terms of the number of Flavon insertions, or alternatively, the operator dimension at which a given Yukawa entry is generated Once these mismatch factors are known and the soft-matrices given, rotations of the superfields, first to canonically normalize [7] and to diagonalize the Yukawa matrices, may be performed. These contributions require a bino mass insertion, M1, so, as we see in the figure, the bound practically disappears for small values of M1/2
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