Threshold resummation for exclusive B meson decays

Abstract

We argue that double logarithmic corrections ${\alpha }_s{\ln }^{2}x$ need to be resumed in perturbative QCD factorization theorem for exclusive $B$ meson decays, when the end-point region with a momentum fraction $x\to 0$ is important. These double logarithms, being of the collinear origin, are absorbed into a quark jet function, which is defined by a matrix element of a quark field attached by a Wilson line. The factorization of the jet function from the decay $B\to \gamma l\bar{\nu }$ is proved to all orders. Threshold resummation for the jet function leads to a universal, {\it i.e.}, process-independent, Sudakov factor, whose qualitative behavior is analyzed and found to smear the end-point singularities in heavy-to-light transition form factors.

10 pages, more details are included

References in corpus (6)

• Soft-Collinear Factorization in Effective Field Theory
• Leading-power contributions to $B\to \pi ,\rho$ transition form factors
• The systematic study of $B\to \pi$ form factors in pQCD approach and its reliability
• Perturbative QCD factorization of $\pi {\gamma }^{\ast }\to \gamma (\pi )$ and $B\to \gamma (\pi )l\bar{\nu }$
• Sudakov effects in B -> pi l nu form factors
• Power corrections in deep inelastic structure functions at large Bjorken x

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