# Explaining the $R_{K}$ and $R_{K^*}$ Anomalies With Right-handed Sneutrino

## TL;DR

This paper demonstrates that the $B-L$ extension of the MSSM with Inverse Seesaw can explain the $R_K$ and $R_{K^*}$ anomalies through box diagrams involving right-handed sneutrinos, highlighting a new physics scenario with lepton flavor non-universality.

## Contribution

The paper introduces a novel explanation for $R_K$ and $R_{K^*}$ anomalies within the BLSSMIS framework, emphasizing the role of right-handed sneutrinos and large neutrino Yukawa couplings.

## Key findings

- The BLSSMIS can simultaneously account for $R_K$ and $R_{K^*}$ anomalies.
- A box diagram involving right-handed sneutrino, higgsino-like chargino, and light stop explains the anomalies.
- Large neutrino Yukawa couplings lead to significant lepton flavor non-universality.

## Abstract

The recent intriguing measurements of $R_{K}$ and $R_{K^*}$ are important hints of new physics that violates lepton universality. We analyze the semileptonic decays $b \to s \ell^+ \ell^-$ in the framework of the $B-L$ extension of Minimal Supersymmetric Standard Model (MSSM) with Inverse Seesaw (BLSSMIS). A salient feature of this model is that one of the right-handed sneutrino can be light and the neutrino Yukawa couplings are of order one. We show that the box diagram mediated by right-handed sneutrino, higgsino-like chargino, and light stop can account simultaneously for both $R_{K}$ and $R_{K^*}$. Therefore, while the MSSM cannot explain the $R_K$ and $R_{K^*}$ anomalies, the BLSSMIS can account for them, where a significant lepton flavor non-universality might stem from large neutrino Yukawa couplings.