Regular Article - Theoretical Physics
Next-to-leading-logarithm threshold resummation for exclusive B meson decays
Department of Physics, Henan University of Technology, 450052, Zhengzhou, Henan, People’s Republic of China
2 Institute of Physics, Academia Sinica, 115, Taipei, Taiwan, Republic of China
Accepted: 24 June 2021
Published online: 8 July 2021
We extend the threshold resummation of the large logarithms which appear in factorization formulas for exclusive B meson decays, x being a spectator momentum fraction, to the next-to-leading-logarithm (NLL) accuracy. It is shown that the NLL resummation effect provides suppression in the end-point region with stronger than the leading-logarithm (LL) one, and thus improves perturbative analyses of the above processes. We revisit the decays under the NLL resummation in the perturbative QCD approach, and find that it induces up to 20% variation of the direct CP asymmetries in various modes relative to the LL results. Our method to avoid the Landau singularity in the inverse Mellin transformation causes at most 10% theoretical uncertainty.
© The Author(s) 2021
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