Abstract
Baryonic R-parity violation arises naturally once Minimal Flavor Violation (MFV) is imposed on the supersymmetric flavor sector at the low scale. At the same time, the yet unknown flavor dynamics behind MFV could take place at a very high scale. In this paper, we analyze the renormalization group (RG) evolution of this scenario. We find that low-scale MFV is systematically reinforced through the evolution thanks to the presence of infrared fixed points. Intriguingly, we also find that if holomorphy is imposed on MFV at some scale, it is preserved by the RG evolution. Furthermore, low-scale holomorphy is a powerful infrared attractor for a large class of non-holomorphic scenarios. Therefore, supersymmetry with minimally flavor violating baryon number violation at the low scale, especially in the holomorphic case but not only, is viable and resilient under the RG evolution, and should constitute a leading contender for the physics beyond the Standard Model waiting to be discovered at the LHC.
Highlights
Violating (RPV) couplings involving light fermion flavors must be really tiny
We find that if holomorphy is imposed on Minimal Flavor Violation (MFV) at some scale, it is preserved by the renormalization group (RG) evolution
Supersymmetry with minimally flavor violating baryon number violation at the low scale, especially in the holomorphic case but, is viable and resilient under the RG evolution, and should constitute a leading contender for the physics beyond the Standard Model waiting to be discovered at the LHC
Summary
The MSSM flavor sector necessitates many parameters to be fully specified. Even restricted to (s)quarks, there are 73 real constants, to which 18 complex baryonic R-parity violat-. Because of the understood contraction over colors, YuIJddK = −YuIKddJ , and R-parity violation is encoded into nine independent complex couplings [2]. . where m2Q, m2U , and m2D are hermitian squark mass terms, while the R-parity violating couplings again satisfy AIuJddK = −AIuKddJ because of the color contraction. As a starting point towards MFV, let us first construct an alternative parametrization of all these flavor couplings, using as a guiding principle only the U(3) flavor symmetry [6] of the MSSM (s)quark kinetic terms
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