Model-Independent Prediction of $R({\eta }_c)$

Abstract

We present a model-independent prediction for $R({\eta }_c)\equiv \mathcal{B}\mathcal{R}(B_c\to {\eta }_c{\tau }^{+}{\nu }_{\tau })/\mathcal{B}\mathcal{R}(B_c\to {\eta }_c{\mu }^{+}{\nu }_{\mu })$. This prediction is obtained from the form factors through a combination of dispersive relations, heavy-quark relations at zero-recoil, and the limited existing determinations from lattice QCD. The resulting prediction, $R({\eta }_c)=0.29(5)$, agrees with the weighted average of previous model predictions, but with reduced uncertainties.

8 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:1807.02730

References in corpus (5)

• Exclusive semileptonic and nonleptonic decays of the Bc meson
• $R(D^{\ast })$, $|V_{cb}|$, and the Heavy Quark Symmetry relations between form factors
• Extraction of $|V_{cb}|$ from $B\to D^{(\ast )}\ell {\nu }_{\ell }$ and the Standard Model predictions of $R(D^{(\ast )})$
• Study of exclusive semileptonic and nonleptonic decays of $B_c^{-}$ in a nonrelativistic quark model
• 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

Cited by in corpus (13)

• Addressing $R_{D^{(\ast )}}$, $R_{K^{(\ast )}}$, muon $g-2$ and ANITA anomalies in a minimal $R$-parity violating supersymmetric framework
• Unified Framework for $B$-Anomalies, Muon $g-2$, and Neutrino Masses
• On lepton flavour universality in semileptonic $B_c\to {\eta }_c,J/\psi$ decays
• Unified explanation of flavor anomalies, radiative neutrino mass and ANITA anomalous events in a vector leptoquark model
• Lepton flavor universality violation in semileptonic tree level weak transitions
• Semileptonic decays $B_c\to ({\eta }_c,J/\psi )l{\bar{\nu }}_l$ in the "PQCD + Lattice" approach
• Phenomenology of $b\to c\tau \bar{\nu }$ decays in a scalar leptoquark model
• Model independent investigation of the $R_{J/\psi ,{\eta }_c}$ and ratios of decay widths of semileptonic $B_c$ decays into a P-wave charmonium
• Precision Model-Independent Bounds from Global Analysis of $b\to c\ell \nu$ Form Factors
• Exclusive semileptonic $B_s\to K\ell \nu$ decays on the lattice
• $b\to c\tau \bar{\nu }$ decays in supersymmetry with $R$-parity violation
• New physics in the angular distribution of $B_c^{-}\to J/\psi (\to {\mu }^{+}{\mu }^{-}){\tau }^{-}(\to {\pi }^{-}{\nu }_{\tau }){\bar{\nu }}_{\tau }$ decay
• Analyzing the semileptonic and nonleptonic $B_c\to J/\psi ,{\eta }_c$ decays