One-loop matching of lattice and continuum heavy-light axial vector currents using NRQCD

The temporal component of the heavy-light axial vector current is constructed to one-loop order in perturbation theory and to order $1/M,$ where $M$ is the heavy quark mass, in terms of operators suitable for use in lattice simulations of $B$ and $D$ mesons. The $O\left(a\right)\mathrm{}$-improved clover action is used for the massless light quark, where $a$ is the lattice spacing, and propagation of the heavy quark is described by a nonrelativistic lattice action.