CP Violation in ${\bar{B}}^0\to D^{\ast +}{\mu }^{-}{\bar{\nu }}_{\mu }$

Abstract

In order to explain the observed anomalies in the measurements of $R_{D^{(\ast )}}$ and $R_{J/\psi }$, a variety of new-physics (NP) models that contribute to $b\to c{\tau }^{-}\bar{\nu }$ have been proposed. In this paper, we show how CP-violating observables can be used to distinguish these NP models. Because ${\vec{p}}_{\tau }$ cannot be measured (the decay products of the $\tau$ include the undetected ${\nu }_{\tau }$), obtaining the angular distribution of ${\bar{B}}^0\to D^{\ast +}{\tau }^{-}{\bar{\nu }}_{\tau }$ is problematic. Instead, we focus here on ${\bar{B}}^0\to D^{\ast +}(\to D^0{\pi }^{+}){\mu }^{-}{\bar{\nu }}_{\mu }$. This process may also receive contributions from the same NP, and LHCb intends to measure the CP-violating angular asymmetries in this decay. There are two classes of NP models that contribute to $b\to c{\mu }^{-}{\bar{\nu }}_{\mu }$. These involve (i) a $W^{\prime }$ (two types) or (ii) a leptoquark (LQ) (six types). The most popular NP models predict no CP-violating effects, so the measurement of nonzero CP-violating symmetries would rule them out. Furthermore these measurements allow one to distinguish the $W^{\prime }$ and LQ models, and to differentiate among several LQ models.

arXiv comment26 pages, 1 figure; To appear in JHEP

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