Moving NRQCD for B Form Factors at High Recoil

TL;DR

This paper develops a moving NRQCD framework for calculating B meson form factors at high recoil, enabling more accurate lattice QCD computations across different kinematic regimes.

Contribution

The paper derives the continuum and lattice formulations of moving NRQCD up to order 1/m^2, extending NRQCD to nonzero velocities for improved B decay form factor calculations.

Findings

Derived the continuum and lattice mNRQCD to order 1/m^2.

Discussed radiative corrections to lattice couplings.

Demonstrated usefulness for B->pi and B->D form factors at high recoil.

Abstract

We derive the continuum and lattice tree-level moving NRQCD (mNRQCD) through order 1/m^2. mNRQCD is a generalization of NRQCD for dealing with hadrons with nonzero velocity u_mu. The quark's total momentum is written as P^mu=Mu^mu+k^mu where k^mu << Mu^mu is discretized and Mu^mu is treated exactly. Radiative corrections to couplings on the lattice are discussed. mNRQCD is particularly useful for calculating B->pi and B->D form factors since errors are similar at low and high recoil.