Correlated study on some $B_c\to P$ and $B_c\to S$ wave channels in light of new inputs

Abstract

This study investigates the decay modes of the $B_c$ meson, focusing on semileptonic and nonleptonic decay into S and P wave charmonia. The primary objective is to extract the shape parameter of the $B_c$ meson distribution amplitude through a data-driven approach, utilizing the lattice results on $B_c\to {\eta }_c,J/\psi$ semileptonic form factors and yielding an estimate of ${{\omega }_B}_c=0.998(34)$ for the same. We use the form factors derived from the modified perturbative QCD framework in the analysis. This result and various other inputs on the radiative decays of the P wave charmonia enable us to estimate the $q^2$ shapes of the $B_c\to {\chi }_{c0},{\chi }_{c1}$ and $h_c$ form factors using pole expansion parametrization. Using these results, we have obtained predictions of LFUV observables $R({\chi }_{c0})=0.169(11)$, $R({\chi }_{c1})=0.126(2)$ and $R(h_c)=0.113(3)$. Finally, we have presented predictions for branching ratios of some nonleptonic decay modes of the $B_c$ meson into S and P wave charmonia in the same modified perturbative QCD framework.

50 pages, 12 figures, 20 tables. Updated Equation (2.31), Figures 9 and 10, and corrected minor typographical errors according to the final published version in JHEP

References in corpus (35)

• Weak Decays Beyond Leading Logarithms
• Weak form factors for heavy meson decays: an update
• Leading-power contributions to $B\to \pi ,\rho$ transition form factors
• Exclusive semileptonic and nonleptonic decays of the Bc meson
• Charmless hadronic B decays involving scalar mesons: Implications to the nature of light scalar mesons
• Perturbative QCD Analysis of $B$ Meson Decays
• Threshold resummation for exclusive B meson decays
• Heavy meson masses and decay constants from relativistic heavy quarks in full lattice QCD
• Study of exclusive semileptonic and nonleptonic decays of $B_c^{-}$ in a nonrelativistic quark model
• Lattice QCD and QCD Sum Rule determination of the decay constants of eta_c, J/psi and hc states
• Semileptonic decays $B_c\to ({\eta }_c,J/\Psi )l\nu$ in the perturbative QCD approach
• Semileptonic $B_c$ Decay and Heavy Quark Spin Symmetry
• Tau longitudinal polarization in B -> D tau nu and its role in the search for charged Higgs boson
• $B\to D^{(\ast )}$ form factors in perturbative QCD
• The B_c Meson Lifetime in the Light--Front Constituent Quark Model
• $k_T$ factorization of exclusive processes
• Semileptonic decays of $B_c$ meson to S-wave charmonium states in the perturbative QCD approach
• S-wave ground state charmonium decays of $B_c$ mesons in the perturbative QCD approach
• Study of Bc --> J/psi pi, etac pi decays with perturbative QCD approach
• $B_c$ to P-Wave Charmonia Transitions in Covariant Light-Front Approach
• On lepton flavour universality in semileptonic $B_c\to {\eta }_c,J/\psi$ decays
• $O({\alpha }_s{v}^2)$ Corrections to Hadronic and Electromagnetic Decays of ${}^1{S}_0$ Heavy Quarkonium
• Relativistic corrections to the form factors of $B_c$ into $S$-wave Charmonium
• Precision Model-Independent Bounds from Global Analysis of $b\to c\ell \nu$ Form Factors
• Relativistic corrections to the form factors of $B_c$ into $P$-wave orbitally excited charmonium
• Semileptonic decays $B/B_s\to (D^{(\ast )},D_s^{(\ast )})l{\nu }_l$ in the PQCD approach with the lattice QCD input
• Improved perturbative QCD formalism for $B_c$ meson decays
• Probing the $P$-wave charmonium decays of $B_c$ meson
• Semileptonic B_{c} to P-Wave Charmonia Transitions within QCD Sum Rules
• Two-photon transitions of charmonia on the light front
• Semileptonic decays of $B_c$ meson to $P$-wave charmonium states
• Relations among $B_c\to J/\psi ,{\eta }_c$ form factors
• $P$-wave quarkonium wavefunctions at the origin in the $\overline{\mathrm{MS}}$ scheme
• Analyzing the semileptonic and nonleptonic $B_c\to J/\psi ,{\eta }_c$ decays
• Radiative decays ${\chi }_{cJ}\to V\gamma$ within the QCD factorisation framework

Cited by in corpus (1)

• Study of Form Factors and Observables in $B_c^{-}\to {\bar{D}}^{(\ast )0}{\ell }^{-}{\bar{\nu }}_{\ell }$ and $B_c^{-}\to D^{(\ast )-}{\ell }^{+}{\ell }^{-}$ decays