B-Bbar Mixing and Matching with Fermilab Heavy Quarks

Understand

We discuss the matching procedure for heavy-light 4-quark operators using the Fermilab method for heavy quarks and staggered fermions for light quarks.

• These ingredients enable us to construct the continuum-limit operator needed to determine the oscillation frequency of neutral B mesons.
• The matching is then carried out at the one-loop level.
• We also present an updated preliminary result for the SU(3)-breaking ratio \xi, based on calculations using the MILC Collaboration's ensembles of lattice gauge fields.