Decay Constants and Distribution Amplitudes of B Meson in the Relativistic Potential Model

TL;DR

This paper calculates B meson decay constants and distribution amplitudes using a relativistic potential model, finds good agreement with experimental data, and explores QCD corrections to leptonic decays, revealing they vanish at one-loop level after factorization.

Contribution

It introduces a compact form of B meson distribution amplitude derived from the relativistic potential model and analyzes QCD corrections to leptonic decays, showing they are null at one-loop level.

Findings

Decay constants agree with experimental data

Derived a compact B meson distribution amplitude

One-loop QCD corrections to leptonic decay are zero after subtraction

Abstract

In this work we study the decay constants of $B$ and $B_s$ mesons based on the wave function obtained in the relativistic potential model. Our results are in good agreement with experimental data which enables us to apply this method to the investigation of $B$-meson distribution amplitudes. A very compact form of the distribution amplitude is obtained. We also investigate the one-loop QCD corrections to the pure leptonic decays of $B$ mesons. We find that, after subtracting the infrared divergence in the one-loop corrections using the factorization method, the QCD one-loop corrections to the hard amplitude of leptonic decay will be zero.