# Implication of $R_{D^{(*)}}$ anomalies on semileptonic decays of $\Sigma_b$ and $\Omega_b$ baryons

## TL;DR

This paper explores how anomalies in $R_{D^{(*)}}$$ measurements suggest lepton flavor universality violation, analyzing its impact on semileptonic decays of $\, ext{Sigma}_b$ and $\, ext{Omega}_b$ baryons using a model-independent effective field theory approach.

## Contribution

It provides the first comprehensive analysis of $R_{D^{(*)}}$ anomalies' implications on $\, ext{Sigma}_b$ and $\, ext{Omega}_b$ decays, including predictions of various observables under new physics scenarios.

## Key findings

- Predicted deviations in branching ratios for $\, ext{Sigma}_b$ and $\, ext{Omega}_b$ decays.
- Identified potential signatures of new physics in decay asymmetries.
- Quantified the impact of $R_{D^{(*)}}$ anomalies on baryonic decay observables.

## Abstract

The flavor changing decays of heavy bottom quarks to the corresponding lighter quarks ($u$, $c$ and $s$) in various $B$-meson decays via charged current and neutral current semileptonic transitions have emerged as promising candidates to explore the physics beyond the standard model. Experimentally the lepton flavor universality violation in $b \to (c,u)\,l\,\nu$ and $b \to s\,l^+ l^-$ transitions have been reported to a higher precision. The measurements of the lepton flavor violating ratios such as $R_{D^{(*)}}$, $R_{J/\Psi}$ and $R_{K^{(*)}}$ are observed to deviate from the standard model expectations at the level of $1.4\sigma$, $2.5\sigma$, $1.5\sigma$, $2.4\sigma$ and $2.2\sigma$ respectively. Motivated by these anomalies, we investigate the lepton flavor universality violation in $\Sigma_b \to \Sigma_c l \nu$ and $\Omega_b \to \Omega_c l \nu$ decays. We follow a model independent effective field theory formalism and study the implications of $R_{D^{(*)}}$ anomalies on $\Sigma_b \to \Sigma_c \tau \nu$ and $\Omega_b \to \Omega_c \tau \nu$ decay modes. We give predictions of various physical observables such as the ratio of branching ratios, total differential decay rate, forward-backward asymmetry, lepton side polarization fraction and convexity parameter within the standard model and within various new physics scenarios.