Contributions to ${b \rightarrow s \ell \ell}$ Anomalies from ${R}$-Parity Violating Interactions

TL;DR

This paper explores supersymmetric models with R-parity violating interactions to explain anomalies in b to s lepton transitions, highlighting the role of wino-mediated loop contributions and their experimental constraints.

Contribution

It introduces a novel focus on wino loop diagrams in R-parity violating SUSY models as a mechanism to address B physics anomalies, expanding previous analyses.

Findings

Wino loop diagrams can significantly contribute to b to s l l anomalies.

Large R-parity violating couplings are needed, which may lead to low Landau poles.

Multiple experimental constraints are compatible with the proposed explanation.

Abstract

We examine the parameter space of supersymmetric models with $R$-parity violating interactions of the form $\lambda' L Q D^c$ to explain the various anomalies observed in $b \rightarrow s \ell \ell$ transitions. To generate the appropriate operator in the low energy theory, we are led to a region of parameter space where loop contributions dominate. In particular, we concentrate on parameters for which diagrams involving winos, which have not been previously considered, give large contributions. Many different potentially constraining processes are analyzed, including $\tau \rightarrow \mu \mu \mu$, $B_s-\bar{B}_s$ mixing, $B \rightarrow K^{(*)} \nu \bar{\nu}$, $Z$ decays to charged leptons, and direct LHC searches. We find that it is possible to explain the anomalies, but it requires large values of $\lambda'$, which lead to relatively low Landau poles.