Estimation of Semileptonic Decays of $B_c$ Meson to S-wave Charmonia with NRQCD

Abstract

We study the semileptonic differential decay rates of $B_c$ meson to S-wave charmonia, ${\eta }_c$ and $J/\Psi$, at the next-to-leading order accuracy in the framework of NRQCD. In the heavy quark limit, $m_b\to \infty$, we obtain analytically the asymptotic expression for the ratio of NLO form factor to LO form factor. Numerical results show that the convergence of the ratio is perfect. At the maximum recoil region, we analyze the differential decay rates in detail with various input parameters and polarizations of $J/\psi$, which can now be checked in the LHCb experiment. Phenomenologically, the form factors are extrapolated to the minimal recoil region, and then the $B_c$ to charmonium semileptonic decay rates are estimated.

9 pages, 2 figure and 4 tables

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• Study of B --> pi l nu and B --> rho l nu Decays and Determination of |V_ub|
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Cited by in corpus (9)

• Constraint on the branching ratio of B_c \to tau nu from LEP1 and consequences for R(D(*)) anomaly
• On lepton flavour universality in semileptonic $B_c\to {\eta }_c,J/\psi$ decays
• The $B_c\to \psi (2S)\pi$, ${\eta }_c(2S)\pi$ decays in the perturbative QCD approach
• Measurement of the $B_c^{-}$ meson production fraction and asymmetry in 7 and 13 TeV $pp$ collisions
• QCD corrections to the $B_c$ to charmonia semi-leptonic decays
• Branching fractions of $B_{(c)}$ decays involving $J/\psi$ and $X(3872)$
• Understanding the cross section of $e^{+}{e}^{-}\to \eta J/\psi$ process via nonrelativistic QCD
• $b\to c\tau \bar{\nu }$ decays in supersymmetry with $R$-parity violation
• $B_c^{-}\to J/\psi (\to {\mu }^{+}{\mu }^{-}){\tau }^{-}(\to {\pi }^{-}{\nu }_{\tau },{\rho }^{-}{\nu }_{\tau },{\ell }^{-}{\bar{\nu }}_{\ell }{\nu }_{\tau }){\bar{\nu }}_{\tau }$ decays with visible final-state kinematics