The OPE of the B-meson light-cone wavefunction for exclusive B decays: radiative corrections and higher-dimensional operators

TL;DR

This paper derives the operator product expansion for the B-meson light-cone wavefunction, incorporating radiative corrections and higher-dimensional operators, revealing UV/IR behaviors and nonperturbative effects relevant for exclusive B decays.

Contribution

It provides a detailed OPE for the B-meson light-cone wavefunction including _s corrections and higher-dimensional operators, advancing understanding of its nonperturbative structure.

Findings

Identifies UV and IR behaviors of the wavefunction.

Highlights Sudakov double logarithmic effects.

Shows mixing of multiparticle states with gluons.

Abstract

We discuss the B-meson light-cone wavefunction relevant for QCD factorization approach for exclusive B-meson decays. We derive the operator product expansion for the B-meson light-cone wavefunction, taking into account the local composite operators of dimension less than 6 and calculating the radiative corrections at order \alpha_s for the corresponding Wilson coefficients. The result embodies peculiar UV and IR behaviors of the B-meson light-cone wavefunction, the Sudakov-type double logarithmic effects and the mixing of the multiparticle states with additional gluons inside the B meson. The former effects are induced from the cusp singularity in the radiative corrections, while the latter is manifested by the participation of the higher-dimensional operators associated with the nonperturbative structure of the B meson.