Symmetries in $B\to D^{\ast }\ell \nu$ angular observables

Abstract

We apply the formalism of amplitude symmetries to the angular distribution of the decays $B\to D^{\ast }\ell \nu$ for $\ell =e,\mu ,\tau$. We show that the angular observables used to describe the distribution of this class of decays are not independent in absence of New Physics contributing to tensor operators. We derive sets of relations among the angular coefficients of the decay distribution for the massless and massive lepton cases which can be used to probe in a very general way the consistency among the angular observables and the underlying New Physics at work. We use these relations to access the longitudinal polarisation fraction of the $D^{\ast }$ using different angular coefficients from the ones used by Belle experiment. This in the near future can provide an alternative strategy to measure $F_L^{D^{\ast }}$ in $B\to D^{\ast }\tau \nu$ and to understand the relatively high value measured by the Belle experiment. Using the same symmetries, we identify three observables which may exhibit a tension if the experimental value of $F_L^{D^{\ast }}$ remains high. We discuss how these relations can be exploited for binned measurements. We also propose a new observable that could test for specific scenarios of New Physics generated by light right-handed neutrinos. Finally we study the prospects of testing these relations based on the projected experimental sensitivity of new experiments.

arXiv commentWe included a discussion on detection of presence of light right handed neutrinos and experimental prospects of the new experimental determination of FL, also more references are added. Final version to appear in JHEP. 39 pages and 9 figures

References in corpus (40)

• Weak form factors for heavy meson decays: an update
• Dispersive Bounds on the Shape of B -> D^(*) l nu Form Factors
• Patterns of New Physics in $b\to s{\ell }^{+}{\ell }^{-}$ transitions in the light of recent data
• Optimizing the basis of B->K*ll observables in the full kinematic range
• Implications from clean observables for the binned analysis of B -> K*ll at large recoil
• The lifetime of the $B_c^{-}$ meson and the anomalies in $B\to D^{(\ast )}\tau \nu$
• Second Order Power Corrections in the Heavy Quark Effective Theory I. Formalism and Meson Form Factors
• Emerging patterns of New Physics with and without Lepton Flavour Universal contributions
• Scalar leptoquarks from GUT to accommodate the $B$-physics anomalies
• $B\to P$ and $B\to V$ Form Factors from $B$-Meson Light-Cone Sum Rules beyond Leading Twist
• Complete Anatomy of B -> K*ll and its angular distribution
• Renormalization-group evolution of new physics contributions to (semi)leptonic meson decays
• Revisiting the one leptoquark solution to the $R(D^{(\ast )})$ anomalies and its phenomenological implications
• Model-Independent Extraction of |V_{cb}| Using Dispersion Relations
• The Mono-Tau Menace: From $B$ Decays to High-$p_T$ Tails
• Global fit to $b\to c\tau \nu$ transitions
• On the anomalous enhancement observed in $B\to D^{(\ast )}\tau {\bar{\nu }}_{\tau }$ decays
• Pati-Salam explanations of the B-meson anomalies
• Combined explanations of B-physics anomalies: the sterile neutrino solution
• Addendum to "Impact of polarization observables and $B_c\to \tau \nu$ on new physics explanations of the $b\to c\tau \nu$ anomaly"
• The Full $B\to D^{\ast }{\tau }^{-}\overline{{\nu }_{\tau }}$ Angular Distribution and CP violating Triple Products
• It's all right(-handed neutrinos): a new $W^{\prime }$ model for the $R_{D^{(\ast )}}$ anomaly
• New physics reach of the decay mode $\bar{B}\to {\bar{K}}^{\ast 0}{\ell }^{+}{\ell }^{-}$
• New Physics in the Visible Final States of $B\to D^{(\ast )}\tau \nu$
• Revisiting the new-physics interpretation of the $b\to c\tau \nu$ data
• $R(D^{(\ast )})$ from $W^{\prime }$ and right-handed neutrinos
• B-meson charged current anomalies: the post-Moriond status
• B-> D* zero-recoil formfactor and the heavy quark expansion in QCD: a systematic study
• Right-handed Neutrinos and $R(D^{(\ast )})$
• A Theory of $R(D^{\ast },D)$ Anomaly With Right-Handed Currents
• Asymmetry Observables and the Origin of $R_{D^{(\ast )}}$ Anomalies
• B -> D* at zero recoil revisited
• Heavy quark symmetry in B -> D(*) ell nu spectra
• Maximizing the Impact of New Physics in $b\to c\tau \nu$ Anomalies
• Model-independent method for measuring the angular coefficients of $B^0\to D^{\ast -}{\tau }^{+}{\nu }_{\tau }$ decays
• CP Violation in ${\bar{B}}^0\to D^{\ast +}{\mu }^{-}{\bar{\nu }}_{\mu }$
• A new relation between the zero of $A_{FB}$ in $B^0\to K^{\ast }{\mu }^{+}{\mu }^{-}$ and the anomaly in $P_5^{\prime }$
• Exploiting the Symmetries of P and S wave for B --> K^* mu^+ mu^-
• Method for an unbinned measurement of the $q^2$ dependent decay amplitudes of ${\bar{B}}^0\to {\bar{K}}^{\ast 0}{\mu }^{+}{\mu }^{-}$ decays
• Clustering of $\bar{B}\to D^{(\ast )}{\tau }^{-}{\bar{\nu }}_{\tau }$ kinematic distributions with ClusterKinG

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• Analysis of $b\to c\tau {\bar{\nu }}_{\tau }$ anomalies using weak effective Hamiltonian with complex couplings
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