  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 pseudo-distributions. 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.

High Energy Physics - Phenomenology;High Energy Physics - Lattice