Perturbative renormalization of the $ΔB=2$ four-quark operators in lattice NRQCD

Physics – High Energy Physics – High Energy Physics - Lattice

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

Scientific paper

10.1016/S0920-5632(01)00926-4

We present a perturbative calculation of the renormalization constants for the $\Delta B=2$ 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 $O(\alpha_s/aM)$ error, we reanalyze our previous calculation of the bag parameters.

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