The leading twist light-cone distribution amplitudes for the S-wave and P-wave Bc mesons

TL;DR

This paper calculates twist-2 light-cone distribution amplitudes for S-wave and P-wave Bc mesons at NLO, reducing non-perturbative inputs and enhancing the predictive power for exclusive processes.

Contribution

It provides the first NLO calculations of ten LCDAs for Bc mesons, expressing them with fewer non-perturbative parameters using spin symmetry.

Findings

Ten twist-2 LCDAs calculated at NLO for Bc mesons.

Reduction to two NRQCD matrix-elements improves predictive power.

Enhances understanding of non-perturbative inputs in meson processes.

Abstract

The light-cone distribution amplitudes (LCDAs) serve as important non-perturbative inputs for the study of hard exclusive processes. In this paper, we calculate ten LCDAs at twist-2 for the S-wave and P-wave $B_c$ mesons up to the next-to-leading order (NLO) of the strong coupling $\alpha_s$ and leading order of the velocity expansion. Each one of these ten LCDAs is expressed as a product of a perturbatively calculable distribution and a universal NRQCD matrix-element. By use of the spin symmetry, only two NRQCD matrix-elements will be involved. The reduction of the number of non-perturbative inputs will improve the predictive power of collinear factorization.