Impact of leptonic $\tau$ decays on the distribution of $B\to P\mu \bar{\nu }$ decays

Abstract

We calculate the fully-differential rate of the decays $B\to P\tau (\to \mu \bar{\nu }\nu )\bar{\nu }$ where $P=D,\pi$, which is a background to the semimuonic decays $B\to P\mu \bar{\nu }$. The decays with a $3\nu$ final state can have a sizeable impact on the experimental analyses of the ratios $R_D$ and $R_{\pi }$, depending on the event selection in the analysis. We outline a strategy which permits the extraction of $R_P\mathcal{B}(\tau \to \mu \bar{\nu }\nu )$ from the neutrino-inclusive rate. Our analytic results can also be used to test both existing and upcoming experimental analyses. We further provide Monte Carlo samples of the 5D rate of the neutrino-inclusive decays $B\to P\mu X_{\bar{\nu }}$.

14 pages, 6 figures, 3 ancillary files; v2 (as published): Corrected error in d^5Gamma, updated all numerical results; summary unchanged

References in corpus (2)

• $B\to \pi \ell {\nu }_l$ Width and $|V_{ub}|$ from QCD Light-Cone Sum Rules
• Extracting Angular Observables without a Likelihood and Applications to Rare Decays

Cited by in corpus (19)

• The lifetime of the $B_c^{-}$ meson and the anomalies in $B\to D^{(\ast )}\tau \nu$
• A closer look at the $R_D$ and $R_{D^{\ast }}$ anomalies
• New Physics in the Visible Final States of $B\to D^{(\ast )}\tau \nu$
• Tau properties in $B\to D\tau \nu$ from visible final-state kinematics
• \large\bf $B_c\to (J/\Psi ,{\eta }_c)\tau \nu$ semileptonic decays within Standard model and beyond
• EOS -- A Software for Flavor Physics Phenomenology
• New physics in the kinematic distributions of $\bar{B}\to D^{(\ast )}{\tau }^{-}(\to {\ell }^{-}{\bar{\nu }}_{\ell }{\nu }_{\tau }){\bar{\nu }}_{\tau }$
• Tension in the inclusive versus exclusive determinations of $|V_{cb}|$: a possible role of new physics
• Semileptonic decays and $|V_{xb}|$ determinations
• Angular Analysis of \boldmath ${\Lambda }_b\to {\Lambda }_c(\to \Lambda \pi )\ell \bar{\nu }$
• Model independent analysis of $b\to (c,u)\tau \nu$ leptonic and semileptonic decays
• A Complete Framework for Tau Polarimetry in $B\to D^{(\ast )}\tau \nu$ Decays
• Semileptonic and leptonic $B$ decays, circa 2016
• Remarks on the Standard Model predictions for $R(D)$ and $R(D^{\ast })$
• Impact of vector new physics couplings on $B_s\to (K,K^{\ast })\tau \nu$ and $B\to \pi \tau \nu$ decays
• Impact of background effects on the inclusive $V_{cb}$ determination
• New physics in the angular distribution of $B_c^{-}\to J/\psi (\to {\mu }^{+}{\mu }^{-}){\tau }^{-}(\to {\pi }^{-}{\nu }_{\tau }){\bar{\nu }}_{\tau }$ decay
• $B_c^{-}\to J/\psi (\to {\mu }^{+}{\mu }^{-}){\tau }^{-}(\to {\pi }^{-}{\nu }_{\tau },{\rho }^{-}{\nu }_{\tau },{\ell }^{-}{\bar{\nu }}_{\ell }{\nu }_{\tau }){\bar{\nu }}_{\tau }$ decays with visible final-state kinematics
• Tensions in the flavour sector