New physics in the kinematic distributions of $\bar{B}\to D^{(\ast )}{\tau }^{-}(\to {\ell }^{-}{\bar{\nu }}_{\ell }{\nu }_{\tau }){\bar{\nu }}_{\tau }$

Abstract

We investigate the experimentally-accessible kinematic distributions of the $\bar{B}\to D^{(\ast )}{\tau }^{-}(\to {\ell }^{-}{\bar{\nu }}_{\ell }{\nu }_{\tau }){\bar{\nu }}_{\tau }$ decays. Specifically, we study the decay rates as functions of the $B\to D^{(\ast )}$ transferred squared momentum, the energy of the final charged lepton and the angle of its 3-momentum relative to the 3-momentum of the recoiling $D^{(\ast )}$. The angular distribution allows to introduce new observables, like a forward-backward asymmetry, which are complementary to the total rates. We present analytic formulas for the observable 3-fold 5-body differential decay rates, study the predictions in the Standard Model and investigate the effects in different new-physics scenarios that we characterize using an effective field theory framework.

Version corrected and submitted for publication. Analytic resolution of phase-space integrals explained in greater detail, typos corrected and references added. 14 pages, 3 tables 4 figs. Comments welcomed

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