Matching lattice and continuum four-fermion operators with nonrelativistic QCD and highly improved staggered quarks

Abstract

We match continuum and lattice heavy-light four-fermion operators at one loop in perturbation theory. For the heavy quarks we use nonrelativistic QCD and for the massless light quarks the highly improved staggered quark action. We include the full set of $\Delta B=2$ operators relevant to neutral $B$ mixing both within and beyond the Standard Model and match through order ${\alpha }_s$, ${\Lambda }_{\mathrm{QCD}}/M_b$, and ${\alpha }_s/(a{M}_b)$.

13 pages, 10 figures. Version accepted by Phys. Rev. D: one diagram added (Fig.4) and text updated accordingly. Typographic errors corrected

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Cited by in corpus (4)

• 50 Years of Quantum Chromodynamics
• Locally smeared operator product expansions in scalar field theory
• Lattice QCD matrix elements for the $B_s^0-{\bar{B}}_s^0$ width difference beyond leading order
• B-meson mixing from full lattice QCD with physical u, d, s and c quarks