Abstract

AbstractModels of extended gauge mediation, in which large A-terms arise through direct messenger-MSSM superpotential couplings, are well-motivated by the discovery of the 125 GeV Higgs. However, since these models are not necessarily MFV, the flavor constraints could be stringent. In this paper, we perform the first detailed and quantitative study of the flavor violation in these models. To facilitate our study, we introduce a new tool called FormFlavor for computing precision flavor observables in the general MSSM. We validate FormFlavor and our qualitative understanding of the flavor violation in these models by comparing against analytical expressions. Despite being non-MFV, we show that these models are protected against the strongest constraints by a special flavor texture, which we dub chiral flavor violation (χFV). This results in only mild bounds from current experiments, and exciting prospects for experiments in the near future.

Highlights

  • We performed a detailed investigation into the precision flavor constraints on extended Gauge mediated SUSY breaking (GMSB) models

  • We found that existing programs had various limitations — they either assumed minimal flavor-violating (MFV), were numerically unstable, or had incorrectly transcribed formulas from the literature

  • This motivated us to develop FormFlavor, a comprehensive package that computes flavor observables ab initio starting from the Feynman rules, and uses a modular framework that enables us to add new observables in a uniform and straightforward way

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Summary

Chiral flavor violation and EGMSB

2.1 Chiral flavor violation In the absence of Yukawa couplings, the Standard Model flavor symmetry group is. We see that within the third-generation dominant approximation, no flavor violation appears in the RR block for either the up or down squark mass matrices. The only flavor violation in the LR block involves the 3rd generation, and is v/mSUSY suppressed These features greatly reduce the sensitivity of Q-class χFV to precision flavor constraints. On symmetry grounds alone, there could have been additional contributions to (2.7) proportional to the identity matrix and powers of the Yukawa couplings These are absent due to the specific form of the type I squark couplings. The Wilson coefficients will generally be dominated by this lightest squark running in the loop, and m2S will play a central role in controlling the size of the flavor-violating effects in these models. Because of (2.10), diagrams where the right-handed squarks propagate tend to be suppressed, and we will see that it suffices to focus on the LL flavor violation exclusively

Flavor observables and constraints on EGMSB
Meson mixing
U-class models
Summary and discussion
Future constraints
Future directions
A Details of the deformation and parameter scan
B Details of FormFlavor
C Soft terms for type I squark models
D Formulas for flavor observables
Findings
E Rank 1 χFV loop functions
Full Text
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