Four Fermion Operator Matching with NRQCD Heavy and AsqTad Light Quarks
Elvira Gamiz, Junko Shigemitsu, Howard Trottier
TL;DR
This paper computes one-loop matching coefficients between continuum QCD and lattice QCD for heavy-light four-fermion operators relevant to B meson mixing, using NRQCD for b quarks and AsqTad for light quarks.
Contribution
It provides the first one-loop matching coefficients for heavy-light four-fermion operators with NRQCD and AsqTad fermions, including beyond Standard Model operators.
Findings
Matching coefficients are calculated to order alpha_s.
Results include corrections up to Lambda_{QCD}/M_b.
The work facilitates precise lattice QCD studies of B meson mixing.
Abstract
We present one-loop matching coefficients between continuum and lattice QCD for the heavy-light four-fermion operators relevant for neutral B meson mixing both within and beyond the Standard Model. For the lattice theory we use nonrelativistic QCD (NRQCD) to describe b quarks and improved staggered fermions (AsqTad) for light quarks. The gauge action is the tree-level Symanzik improved gauge action. Matching to full QCD is carried out through order alpha_s, Lambda_{QCD}/M_b, and alpha_s/(aM_b).
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