Implication of $R_{D^{(*)}}$ anomalies on semileptonic decays of $Σ_b$ and $Ω_b$ baryons

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 $b \to (c,u)\,l\,ν$ and $b \to s\,l^+ l^-$ transitions have been reported to a higher precision. The measurements of the lepton flavor violating ratios such as $R_{D^{(*)}}$, $R_{J/Ψ}$ and $R_{K^{(*)}}$ are observed to deviate from the standard model expectations at the level of $1.4σ$, $2.5σ$, $1.5σ$, $2.4σ$ and $2.2σ$ respectively. Motivated by these anomalies, we investigate the lepton flavor universality violation in $Σ_b \to Σ_c l ν$ and $Ω_b \to Ω_c l ν$ decays. We follow a model independent effective field theory formalism and study the implications of $R_{D^{(*)}}$ anomalies on $Σ_b \to Σ_c τν$ and $Ω_b \to Ω_c τν$ 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.