A new tool to search for physics beyond the Standard Model in $\bar{B}\to D^{\ast +}{\ell }^{-}\bar{\nu }$

Abstract

Recent experimental results in $B$ physics from Belle, BaBar and LHCb suggest new physics (NP) in the weak $b\to c$ charged-current and the $b\to s$ neutral-current processes. Here we focus on the charged-current case and specifically on the decay modes $B\to D^{\ast +}{\ell }^{-}\bar{\nu }$ with $\ell =e,\mu ,$ and $\tau$. The world averages of the ratios $R_D$ and $R_D^{\ast }$ currently differ from the Standard Model (SM) by $3.4\sigma$ while $\Delta A_{FB}=A_{FB}(B\to D^{\ast }\mu \nu )-A_{FB}(B\to D^{\ast }e\nu )$ is found to be $4.1\sigma$ away from the SM prediction in an analysis of 2019 Belle data. These intriguing results suggest an urgent need for improved simulation and analysis techniques in $B\to D^{\ast +}{\ell }^{-}\bar{\nu }$ decays. Here we describe a Monte Carlo Event-generator tool based on EVTGEN developed to allow simulation of the NP signatures in $B\to D^{\ast }{\ell }^{-}\nu$, which arise due to the interference between the SM and NP amplitudes. As a demonstration of the proposed approach, we exhibit some examples of NP couplings that are consistent with current data and could explain the $\Delta A_{FB}$ anomaly in $B\to D^{\ast }{\ell }^{-}\nu$ while remaining consistent with other constraints. We show that the $\Delta$-type observables such as $\Delta A_{FB}$ and $\Delta S_5$ eliminate most QCD uncertainties from form factors and allow for clean measurements of NP. We introduce correlated observables that improve the sensitivity to NP. We discuss prospects for improved observables sensitive to NP couplings with the expected 50 ab${}^{-1}$ of Belle II data, which seems to be ideally suited for this class of measurements.

Comments: 19 pages, 5 figures, Submitted to the Proceedings of the US Community Study on the Future of Particle Physics (Snowmass 2021), withdrawn from the final Snowmass conference proceedings to allow for journal publication of an improved version