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.

arXiv comment8 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:1807.02730

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• 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