New Physics effect on $B_c\to J/\psi \tau \bar{\nu }$ in relation to the $R_{D^{(\ast )}}$ anomaly

Abstract

We study possible new physics (NP) effects on $B_c\to J/\psi \tau \bar{\nu }$, which has been recently measured at LHCb as the ratio of $R_{J/\psi }=\mathcal{B}(B_c\to J/\psi \tau \bar{\nu })/\mathcal{B}(B_c\to J/\psi \mu \bar{\nu })$. Combining it with the long-standing $R_{D^{(\ast )}}$ measurements, in which the discrepancy with the prediction of the standard model is present, we find possible solutions to the anomaly by several NP types. Then, we see that adding the $R_{J/\psi }$ measurement does not improve NP fit to data, but the NP scenarios still give better ${\chi }^2$ than the SM. We also investigate indirect NP constraints from the lifetime of $B_c$ and NP predictions on the $\tau$ longitudinal polarization in $\bar{B}\to D^{\ast }\tau \bar{\nu }$.

7 pages, 2 figures, 1 table, (v2) new constraint included, (v2) references added, (v3) published version with additional revision

References in corpus (13)

• On the B to D* tau nu Sensitivity to New Physics
• Measurement of the branching ratio of ${\bar{B}}^0\to D^{\ast +}{\tau }^{-}{\bar{\nu }}_{\tau }$ relative to ${\bar{B}}^0\to D^{\ast +}{\ell }^{-}{\bar{\nu }}_{\ell }$ decays with a semileptonic tagging method
• Confronting lepton flavor universality violation in B decays with high-$p_T$ tau lepton searches at LHC
• Simultaneous Explanation of the $R_K$ and $R(D^{(\ast )})$ Puzzles
• The lifetime of the $B_c^{-}$ meson and the anomalies in $B\to D^{(\ast )}\tau \nu$
• New physics in the weak interaction of $\bar{B}\to D^{(\ast )}\tau \bar{\nu }$
• Leptoquark model to explain the $B$-physics anomalies, $R_K$ and $R_D$
• Explaining the $R_K$ and $R_{D^{(\ast )}}$ anomalies with vector leptoquarks
• Analyzing new physics in the decays ${\bar{B}}^0\to D^{(\ast )}{\tau }^{-}{\bar{\nu }}_{\tau }$ with form factors obtained from the covariant quark model
• Probing New Physics with $q^2$ distributions in $\bar{B}\to D^{(\ast )}\tau \bar{\nu }$
• Probing new physics in ${\bar{B}}^0\to D^{(\ast )}{\tau }^{-}{\bar{\nu }}_{\tau }$ using the longitudinal, transverse, and normal polarization components of the tau lepton
• Charged Higgs on $B^{-}\to \tau {\bar{\nu }}_{\tau }$ and $\bar{B}\to P(V)\ell {\bar{\nu }}_{\ell }$
• Measurement of the $\tau$ lepton polarization in the decay $\bar{B}\to D^{\ast }{\tau }^{-}{\bar{\nu }}_{\tau }$

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• Mapping out the Space for New Physics with Leptonic and Semileptonic $B_{(c)}$ Decays
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• Scrutinizing New Physics in Semi-leptonic $B_c\to J/\psi \tau \nu$ Decay
• Probing new physics in semileptonic ${\Sigma }_b$ and ${\Omega }_b$ decays
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• $b\to c\tau \bar{\nu }$ decays in supersymmetry with $R$-parity violation
• A Light shed on Lepton Flavor Universality in B decays
• New physics in the angular distribution of $B_c^{-}\to J/\psi (\to {\mu }^{+}{\mu }^{-}){\tau }^{-}(\to {\pi }^{-}{\nu }_{\tau }){\bar{\nu }}_{\tau }$ decay
• Analysis of $b\to c\tau {\bar{\nu }}_{\tau }$ anomalies using weak effective Hamiltonian with complex couplings
• Probing the R-parity violating supersymmetric effects in $B_c\to J/\psi {\ell }^{-}{\bar{\nu }}_{\ell },{\eta }_c{\ell }^{-}{\bar{\nu }}_{\ell }$ and ${\Lambda }_b\to {\Lambda }_c{\ell }^{-}{\bar{\nu }}_{\ell }$ decays
• Assessing Lepton Flavor Universality Violations in Semileptonic Decays
• Visible energy and angular distributions of the charged particle from the $\tau -$decay in $b\to c\tau (\mu {\bar{\nu }}_{\mu }{\nu }_{\tau },\pi {\nu }_{\tau },\rho {\nu }_{\tau }){\bar{\nu }}_{\tau }$ reactions
• Study of angular observables in exclusive semileptonic $B_c$ decays
• Inclusive quasielastic (anti-)neutrino nucleus scattering within the Standard Model and beyond
• Addressing the $R_{\tau /\mu ,e}\left(D^{(\ast )}\right)$ puzzle through New Physics four-fermion operators and their impact on ${\Lambda }_b\to {\Lambda }_c\tau {\bar{\nu }}_{\tau }$ decay
• The Angular Observables of ${\Lambda }_b\to {\Lambda }_c(\to {\Lambda }^0{\pi }^{+}){\tau }^{-}(\to {\pi }^{-}{\nu }_{\tau }){\bar{\nu }}_{\tau }$ within the Paradigm of FCCC Anomalies
• Predictions for ${\Lambda }_b\to {\Lambda }_c\tau \bar{\nu }$ in BLSSM with Inverse seesaw
• ${\eta }_c$ leading-twist distribution amplitude and the $B_c\to {\eta }_c\ell {\bar{\nu }}_{\ell }$ semileptonic decays using QCD Sum Rules
• Probing New Physics and CP Violation in ${\nu }_{\tau }n\to {\Lambda }_c{\tau }^{-}({\pi }^{-}{\nu }_{\tau })$ and ${\bar{\nu }}_{\tau }p\to \Lambda {\tau }^{+}({\pi }^{+}{\bar{\nu }}_{\tau })$