Towards the precision measurement of CP violation in $B\to D^{\ast }\mu \nu$ decays at LHCb

Abstract

Measurement of $CP$-violating observables in semileptonic decays is a sensitive null-test of the Standard Model: any $CP$ violation would be an unambiguous sign of New Physics effects. The model-independent technique to measure parity and $CP$-odd observables in the $B\to D^{\ast }\mu \nu$ decays is proposed, which effectively cancels out parity-even terms in the decay density together with the associated theory uncertainty. The feasibility study is performed with pseudoexperiments, and the sensitivity at the LHCb experiment is estimated. Finally, the most significant systematic effects and the data-driven ways to control them are considered.