Neutral $B$ mixing from 2+1 flavor lattice-QCD: the Standard Model and beyond

Abstract

We report on the status of our lattice-QCD calculation of the hadronic contribution to $B_d^0$ and $B_s^0$ mixing, with 2+1 flavors of dynamical sea quarks. Preliminary results for hadronic mixing matrix elements are given for a basis of five four-quark, dimension-six, $\Delta B=2$ mixing operators that spans the space of all possible hadronic mixing contributions in the Standard Model and beyond. At the intermediate stage of analysis reported on in this work, our errors are competitive with published Standard Model matrix element results. For beyond the Standard Model matrix elements, this is the first unquenched calculation and the first new lattice-QCD calculation in ten years.

13 pages, 6 figures. Proceedings of the XXIX International Symposium on Lattice Field Theory - Lattice 2011, July 10-16, 2011, Squaw Valley, Lake Tahoe, California. Ver 2: New Figs. 2-4 and Table 4 corrects scripting error. Table 4 now includes results for BJU as well as BBGLN choice of evanescent operators

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• Light Higgs and Vector-like Quarks without Prejudice
• On the ultimate precision of meson mixing observables
• Complete NLO QCD Corrections for Tree Level Delta F = 2 FCNC Processes
• Particle-Antiparticle Mixing, CP Violation and Rare K and B Decays in a Minimal Theory of Fermion Masses
• Standard Model Heavy Flavor physics on the Lattice
• Flavor Physics in the LHC era: the role of the lattice
• B Mixing in the Standard Model and Beyond
• Matrix Elements for $D$- and $B$-Mixing from 2+1 Flavor Lattice QCD
• Quark Flavor Physics Review
• B-meson decay constants and mixing on the lattice