Standard Model Heavy Flavor physics on the Lattice

Abstract

Lattice QCD calculations in charm and bottom physics are particularly important because they can provide the hadronic weak decay matrix elements needed for key constraints on the CKM Unitarity Triangle. I will summarise recent results in this area, paying particular attention to sources of error, comparison between methods and tests of results against experiment, for example, in the spectrum. Updated world averages for decay constants this year are : $f_{D_s}$=248.6(2.4) MeV; $f_D$ = 212.1(3.4) MeV; $f_{B_s}$ = 227(4) MeV; $f_B$ = 190(4) MeV. Note that B decay constants are clearly lower than the corresponding D decay constants. Improved $D$ semileptonic form factors, both shape and normalisation, now allow the direct determination of $V_{cs}$ and $V_{cd}$ to 3% and 5% respectively. This year we also have a clear demonstration that dependence of form factors on the spectator quark mass between light and strange is very small. Apart from the phenomenology implications, this has practical application to the normalisation of branching fractions in experiment. The current best Standard model rate for a key LHC mode sensitive to new physics - $B_{(s)}\to {\mu }^{+}{\mu }^{-}$ - is derived from lattice QCD calculations on $B/B_s$ mixing rates. I will discuss the current result and prospects for improving lattice QCD errors.

Review talk at Lattice2011, updated for results finalised since the meeting. 21 pages, 16 figures

References in corpus (9)

• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• Light hadrons from lattice QCD with light (u,d), strange and charm dynamical quarks
• Update: Precision D_s decay constant from full lattice QCD using very fine lattices
• Neutral B Meson Mixing in Unquenched Lattice QCD
• $D\to K,l\nu$ Semileptonic Decay Scalar Form Factor and $|V_{cs}|$ from Lattice QCD
• Relativistic Heavy Quark Effective Action
• Femtosecond x-ray absorption spectroscopy of spin and orbital angular momentum in photoexcited Ni films during ultrafast demagnetization
• Visualization of semileptonic form factors from lattice QCD

Cited by in corpus (6)

• Cornering New Physics in b --> s Transitions
• Supersymmetric constraints from Bs -> mu+mu- and B -> K* mu+mu- observables
• Parameters of Heavy Quark Effective Theory from Nf=2 lattice QCD
• The Minimal Flavour Violation benchmark in view of the latest LHCb data
• Flavor Physics in the LHC era: the role of the lattice
• Determination of c and b quark masses