Abstract
We study the anatomy and phenomenology of lepton flavor violation (LFV) in the context of flavored gauge mediation (FGM). Within FGM, the messenger sector couples directly to the MSSM matter fields with couplings controlled by the same dynamics that explains the hierarchies in the SM Yukawas. Although the pattern of flavor violation depends on the particular underlying flavor model, FGM provides a built-in flavor suppression similar to wave function renormalization or SUSY partial compositeness. Moreover, in contrast to these models, there is an additional suppression of left–right flavor transitions by third-generation Yukawas that in particular provides an extra protection against flavor-blind phases. We exploit the consequences of this setup for lepton flavor phenomenology, assuming that the new couplings are controlled by simple U(1) flavor models that have been proposed to accommodate large neutrino mixing angles. Remarkably, it turns out that in the context of FGM these models can pass the impressive constraints from LFV processes and leptonic electric dipole moments (EDMs) even for light superpartners, therefore offering the possibility of resolving the longstanding muon g-2 anomaly.
Highlights
Of the nature of the underlying flavor symmetry, the crucial question about these kind of models regards their predictivity
We study the anatomy and phenomenology of lepton flavor violation (LFV) in the context of flavored gauge mediation (FGM)
We exploit the consequences of this setup for lepton flavor phenomenology, assuming that the new couplings are controlled by simple U (1) flavor models that have been proposed to accommodate large neutrino mixing angles
Summary
Of the nature of the underlying flavor symmetry, the crucial question about these kind of models regards their predictivity. If the flavor scale is much higher than the SUSY messenger scale soft masses are screened from the high-energy flavor sector and have a flavor structure determined only by SM Yukawas, realizing the paradigm of minimal flavor violation (MFV) [15] While this scenario provides a very appealing mechanism to solve the SUSY flavor problem, the imprint of the flavor sector in low-energy physics and the possibility to test flavor symmetry models is completely lost. There are good arguments that motivate this study: (i) in contrast to the quark sector the large neutrino mixing angles require milder hierarchies in left-handed charges, leading in turn to weaker suppression in the left-handed slepton sector and potentially large effects in LFV processes, (ii) the experimental bounds on LFV channels with an underlying μ → e transition as well as the electron EDM underwent recently a very significant improvement challenging many models with new physics (NP) at the TeV scale, even with modest sources of flavor violation. In an appendix we collect the formulas for LFV branching ratios, lepton anomalous magnetic moments and lepton electric dipole moments using a generalized mass insertion approximation without assuming large tan β, improving on existing results that take into account only the tan β enhanced terms
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