Implication of $b \to cτν$ flavor anomalies on $B_s\rightarrow {D_s^*}τν$ decay observables

Abstract

The experimental predictions of $R_D$, $R_{D^*}$, $R_{J/ψ}$, $P_τ^{D^*}$ and $F_L^{D^*}$ in $B$ decays mediated via $b\,\to\, c\, l\,ν$ quark level transition deviate significantly from the standard model expectations. The current world average of the ratio of branching ratios $R_D$ and $R_{D^*}$ in $B\,\to\, D^{(*)}\, l\,ν$ ($l\in e,τ$) show $1.4σ$ and $2.5σ$ deviation from the SM expectations. Similarly, the $τ$ polarization fraction $P_τ^{D^*}$ and the longitudinal polarization fraction of the $D^*$ meson $F_L^{D^*}$ in $B\,\to\, D^*\,τ\,ν$ are found to deviate from the standard model expectations at $1.6σ$ and $1.5σ$ level, respectively. In addition, the ratio of branching ratio $R_{J/ψ}$ in $B_c\,\to\,{J/ψ}\, l\,ν$ deviates from the standard model prediction at $2σ$ level. In this regard, we study the implication of $R_D$, $R_{D^*}$, $R_{J/ψ}$, $P_τ^{D^*}$, and $F_L^{D^*}$ anomalies on $B_s\,\to\, {D^*_s}\,τ\,ν$ decay observables in a model independent effective field theory formalism. We give predictions of several physical observables in the standard model and in the presence of various $1D$ and $2D$ new physics scenarios.