Next-to-leading-logarithm Resummation for → / Decays
Xin Liu (Department of Physics, Jiangsu Normal University, Xuzhou, People's Republic of China)
; Hsiang-nan Li (Institute of Physics, Academia Sinica, Taipei, Taiwan, Republic of China); Zhen-Jun Xiao (Department of Physics, Institute of Theoretical Physics, Nanjing Normal University, Nanjing, People's Republic of China)
We derive the resummation for a transverse-momentum-dependent charmonium wave function, which involves the bottom quark mass , the charm quark mass , and the charm quark transverse momentum , up to the next-to-leading-logarithm (NLL) accuracy under the hierarchy . The resultant Sudakov factor is employed in the perturbative QCD (PQCD) approach to the transition form factor and the decay. We compare the NLL resummation effect on these processes with the leading-logarithm one in the literature, and find a enhancement to the form factor and a enhancement to the decay rate . The improved resummation formalism is applicable to the PQCD analysis of heavy meson decays to other charmonia.