Improved perturbative QCD formalism for $B_c$ meson decays

Abstract

We derive the $k_T$ resummation for doubly heavy-flavored $B_c$ meson decays by including the charm quark mass effect into the known formula for a heavy-light system. The resultant Sudakov factor is employed in the perutrbative QCD study of the "golden channel" $B_c^{+}\to J/\psi {\pi }^{+}$. With a reasonable model for the $B_c$ meson distribution amplitude, which maintains approximate on-shell conditions of both the partonic bottom and charm quarks, it is observed that the imaginary piece of the $B_c\to J/\psi$ transition form factor appears to be power suppressed, and the $B_c^{+}\to J/\psi {\pi }^{+}$ branching ratio is not lower than $10^{-3}$. The above improved perutrbative QCD formalism is applicable to $B_c$ meson decays to other charmonia and charmed mesons.

9 pages, 4 figures, and 1 table, references added

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Cited by in corpus (15)

• Revisiting the form factors of $P\to V$ transition within the light-front quark models
• Semileptonic decays $B_c\to ({\eta }_c,J/\psi )l{\bar{\nu }}_l$ in the "PQCD + Lattice" approach
• 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
• Next-to-leading-logarithm $k_T$ resummation for $B_c\to J/\psi$ decays
• Semileptonic decays of $B_c$ meson to $P$-wave charmonium states
• The PQCD approach towards to next-to-leading order: a short review
• Systematic analysis of the form factors of $B_c\to {\eta }_c$, $J/\psi$ and corresponding weak decays
• Perturbative QCD analysis of neutral $B$-meson decays into $\sigma \sigma ,\sigma f_0$ and $f_0{f}_0$
• Quasi-two-body decays $B_c\to D^{\ast }h\to D\pi h$ in the perturbative QCD
• $B_{(s)}\to {\eta }_c(P,V)$ decays and effects of the next-to-leading order contributions in the perturbative QCD approach
• Study the contributions of S, P, and D-wave resonances to the quasi-two-body decays $B_s^0\to \psi (3686,3770)K\pi$ in perturbative QCD approach
• Correlated study on some $B_c\to P$ and $B_c\to S$ wave channels in light of new inputs
• Systematic analysis of the form factors of $B_c$ to $P$-wave charmonia and corresponding weak decays
• Nonleptonic $B_c$ decay rates from model independent relations
• 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