Abstract
We propose the approach for a lattice investigation of light cone distribution amplitudes (LCDA) of heavy-light mesons, such as the $B$ meson, using the formalism of parton pseudodistributions. A basic ingredient of the approach is the study of short-distance behavior of the $B$-meson Ioffe-time distribution amplitude (ITDA), which is a generalization of the $B$-meson LCDA in coordinate space. We construct a reduced ITDA for the $B$ meson, and derive the matching relation between the reduced ITDA and the LCDA. The reduced ITDA is ultraviolet finite, which guarantees that the continuum limit exists on the lattice.
Highlights
The B-meson physics plays a remarkable role in particle physics, both in a detailed examination of the Standard Model and in the search of new physics beyond the Standard Model
To access B-meson leading-twist light cone distribution amplitude from lattice QCD computations, we have proposed the approach based on the strategy of reduced Ioffetime distributions
The reduced Ioffe-time distribution amplitude of a B meson is constructed by the ratio of meson ITDA and the ITDA of the meson’s leading Fock state, in which the light-quark momentum is zero
Summary
The B-meson physics plays a remarkable role in particle physics, both in a detailed examination of the Standard Model and in the search of new physics beyond the Standard Model. One of the most important functions describing the structure of the B-meson is its light cone distribution amplitude (LCDA) [1] It is an inherent part of hard-collinear factorization theorems for many exclusive B decay reactions [2,3,4,5,6,7,8], where the amplitude is factorized into a convolution of the hard scattering kernel and the Bmeson LCDA. It is an essential element in the light cone sum-rule studies [9,10,11,12,13,14,15] of the B-meson decays. Crucial for building a practical method of accessing Bmeson LCDA on the lattice
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