Next-to-Leading-logarithm threshold resummation for exclusive $B$ meson decays

Abstract

We extend the threshold resummation of the large logarithms $\ln x$ 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 $x\sim 0$ stronger than the leading-logarithm (LL) one, and thus improves perturbative analyses of the above processes. We revisit the $B\to K\pi$ decays under the NLL resummation, and find that it induces 20-25\% variation of the direct CP asymmetries compared to those from the LL resummation. Our way to avoid the Landau singularity in the inverse Mellin transformation causes little theoretical uncertainty.

arXiv comment12 pages,4 figures

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Cited by in corpus (2)

• ${\Lambda }_b\to p$ transition form factors in perturbative QCD
• Global Analysis of hadronic two-body B decays in the perturbative QCD approach