Baryonic R-parity violation and its running

TL;DR

This paper investigates how baryonic R-parity violation, consistent with Minimal Flavor Violation, evolves under renormalization group flow, revealing fixed points and the preservation of holomorphy, supporting its viability as new physics beyond the Standard Model.

Contribution

It provides a detailed analysis of the RG evolution of baryonic R-parity violation within MFV, highlighting the stability of holomorphy and the reinforcement of low-scale MFV.

Findings

R-parity violating couplings have infrared fixed points.

Holomorphy at high scales is preserved by RG evolution.

Low-scale holomorphy acts as an infrared attractor.

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, with the R-parity violating couplings exhibiting 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.