Light-cone distribution amplitudes of vector meson in a large momentum effective theory

Ji Xu,Qi-An Zhang,Shuai Zhao

doi:10.1103/physrevd.97.114026

Abstract

We investigate the leading twist light-cone distribution amplitudes (LCDAs) of vector meson in the framework of large momentum effective theory. We derive the matching equation for the LCDAs and quasi distribution amplitudes. The matching coefficients are determined to one loop accuracy, both in the ultraviolet cut-off and dimensional regularization schemes. This calculation provides the possibility of studying the full $x$ behavior of LCDAs and extracting LCDAs of vector mesons from lattice simulations.

Highlights

The light-cone distribution amplitudes (LCDAs), defined by the matrix elements of light-cone separated field operators, are essential for studying exclusive processes and hadron structures
We investigate the leading twist light-cone distribution amplitudes (LCDAs) of vector meson in the framework of large momentum effective theory
The LCDAs of vector mesons are of particular interest since they are necessary in the theoretical analysis of exclusive processes involving vector mesons, for example, the production of vector mesons at high energy colliders, and B meson decays like B → V, where V 1⁄4 ρ, KÃ, φ, etc

Summary

Introduction

The light-cone distribution amplitudes (LCDAs), defined by the matrix elements of light-cone separated field operators, are essential for studying exclusive processes and hadron structures. The LCDAs of vector mesons are of particular interest since they are necessary in the theoretical analysis of exclusive processes involving vector mesons, for example, the production of vector mesons at high energy colliders, and B meson decays like B → V, where V 1⁄4 ρ, KÃ, φ, etc. Among these processes, the B → KÃlþl− and Bs → φlþl− are considered to be sensitive to the new physics. Because of their nonperturbative nature, LCDAs cannot be calculated with QCD perturbation theory

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