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

Abstract In order to explain the observed anomalies in the measurements of $$ {R}_{D^{\left(\ast \right)}} $$ R D ∗ and R J/ψ , a variety of new-physics (NP) models that contribute to $$ b\to c{\tau}^{-}\overline{\nu} $$ b → c τ − ν ¯ have been proposed. In this paper, we show how CP-violating observables can be used to distinguish these NP models. Because $$ {\overrightarrow{p}}_{\tau } $$ p → τ cannot be measured (the decay products of the τ include the undetected ν τ ), obtaining the angular distribution of $$ {\overline{B}}^0\to {D}^{\ast +}{\tau}^{-}{\overline{\nu}}_{\tau } $$ B ¯ 0 → D ∗ + τ − ν ¯ τ is problematic. Instead, we focus here on $$ {\overline{B}}^0\to {D}^{\ast +}\left(\to {D}^0{\pi}^{+}\right){\mu}^{-}{\overline{\nu}}_{\mu } $$ B ¯ 0 → D ∗ + → D 0 π + μ − ν ¯ μ . 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 $$ b\to c{\mu}^{-}{\overline{\nu}}_{{}_{\mu }} $$ b → c μ − ν ¯ μ . These involve (i) a W ′ (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 asymmetries would rule them out. Furthermore these measurements allow one to distinguish the W ′ and LQ models, and to differentiate among several LQ models.

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