Perturbative renormalization of the $\hat{I}”B=2$ four-quark operators in lattice NRQCD

Abstract

We present a perturbative calculation of the renormalization constants for the $\hat{I}”B=2$ four-quark operators, which is needed to evaluate the bag parameters $B_B$ and $B_S$ in lattice QCD. The one-loop coefficients are calculated for the $O(1/M)$ NRQCD heavy quark action and the $O(a)$-improved Wilson action for light quark. Using these coefficients, which remove $O(\hat{I}{\pm }_s/aM)$ error, we reanalyze our previous calculation of the bag parameters.

Lattice 2000 (Heavy Quark Physics), 5 pages, LaTeX