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Bcexclusive decays to charmonium and a light meson at next-to-leading order accuracy

2012/09/30 by Cong‐Feng Qiao, Cong-Feng Qiao, Peng Sun +3
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ex #hep-ph

paper · pdf · doi:10.1103/physrevd.89.034008

published as Phys. Rev. D 89, 034008 (2014) · 20 pages, 7 figures and 5 tables

arxiv created 2013/12/02 · openalex publication_date 2014/02/07 · arxiv updated 2014/02/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the Bc-meson exclusive decays to S-wave charmonia and light pseudoscalar or vector mesons, i.e., \ensuremathπ, K, \ensuremathρ, and K* at the next-to-leading order (NLO) in the QCD coupling. The nonfactorizable contribution is included, which is absent in traditional naive factorization. Numerical results show that NLO QCD corrections markedly enhance the branching ratio with a K factor of 1.75 for Bc^\ifmmode±\else\textpm\fi\ensuremath→\ensuremathηc\ensuremathπ^\ifmmode±\else\textpm\fi and 1.31 for Bc^\ifmmode±\else\textpm\fi\ensuremath→J/\ensuremathψ\ensuremathπ^\ifmmode±\else\textpm\fi using certain input parameters. And the theoretical uncertainties for their branching ratios are reduced compared with that of direct tree-level calculation. In order to investigate the asymptotic behavior, the analytic form is obtained in the heavy quark limit, i.e., mb\ensuremath→\ensuremath∞. We note that annihilation topologies contribute trivia in this limit, and the corrections at leading order in z=mc/mb expansion come from form factors and hard spectator interactions. At last, some related phenomenologies are also discussed.

Citations