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 (47)

• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• Improved Nonrelativistic QCD for Heavy Quark Physics
• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• Model-independent description of $B\to \pi l\nu$ decays and a determination of $|V_{ub}|$
• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• High-Precision c and b Masses, and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD
• Light hadrons from lattice QCD with light (u,d), strange and charm dynamical quarks
• Relations between ΔM_{s,d} and B_{s,d}\to μ\barμin Models with Minimal Flavour Violation
• The Upsilon spectrum and m_b from full lattice QCD
• Lattice QCD at the physical point: Simulation and analysis details
• B- and D-meson decay constants from three-flavor lattice QCD
• Update: Precision D_s decay constant from full lattice QCD using very fine lattices
• Neutral B Meson Mixing in Unquenched Lattice QCD
• The Upsilon spectrum and the determination of the lattice spacing from lattice QCD including charm quarks in the sea
• The B and B_s Meson Decay Constants from Lattice QCD
• Improved measurements of D meson semileptonic decays to pi and K mesons
• Precise determination of the lattice spacing in full lattice QCD
• Charmed-Baryon Spectroscopy from Lattice QCD with N_f=2+1+1 Flavors
• Non-perturbative Heavy Quark Effective Theory
• Pseudoscalar decay constants of kaon and D-mesons from Nf=2 twisted mass Lattice QCD
• Relativistic Heavy Quarks on the Lattice
• $D\to K,l\nu$ Semileptonic Decay Scalar Form Factor and $|V_{cs}|$ from Lattice QCD
• Precise charm to strange mass ratio and light quark masses from full lattice QCD
• Relativistic Heavy Quark Effective Action
• Quarkonium mass splittings in three-flavor lattice QCD
• Average up/down, strange and charm quark masses with Nf=2 twisted mass lattice QCD
• $D\to \pi ,l\nu$ Semileptonic Decays, $|V_{cd}|$ and 2${}^{nd}$ Row Unitarity from Lattice QCD
• Charm quark system at the physical point of 2+1 flavor lattice QCD
• Femtosecond x-ray absorption spectroscopy of spin and orbital angular momentum in photoexcited Ni films during ultrafast demagnetization
• Lattice study of semileptonic form factors with twisted boundary conditions
• B_s->D_s/B->D Semileptonic Form-Factor Ratios and Their Application to BR(B^0_s->μ^+μ^-)
• A Prediction of the B*_c mass in full lattice QCD
• Prediction of the bottomonium D-wave spectrum from full lattice QCD
• Visualization of semileptonic form factors from lattice QCD
• New Strategy for B_s Branching Ratio Measurements and the Search for New Physics in B^0_s -> mu^+ mu^-
• Phenomenology of $B_s$ Decays
• Neutral $B$ mixing from 2+1 flavor lattice-QCD: the Standard Model and beyond
• Spectra of heavy-light and heavy-heavy mesons containing charm quarks, including higher spin states for $N_f=2+1$
• B and D meson decay constants from 2+1 flavor improved staggered simulations
• Form factors for $B$ to $Kll$ semileptonic decay from three-flavor lattice QCD
• Charmonium spectroscopy from an anisotropic lattice study
• Perturbative matching of heavy-light currents at one-loop
• Low-energy particle physics and chiral extrapolations
• Disconnected contributions to D-meson semi-leptonic decay form factors
• Charm Current-Current Correlators in Twisted Mass Lattice QCD
• $m_c/m_s$ with Brillouin fermions

Cited by in corpus (12)

• On the Standard Model prediction for BR(B{s,d} to mu+ mu-)
• Towards the Identification of New Physics through Quark Flavour Violating Processes
• 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
• BR(Bs to mu+ mu-) as an electroweak precision test
• Stringent Tests of Constrained Minimal Flavour Violation through Delta F=2 Transitions
• New physics search with flavour in the LHC era
• Full 1-loop calculation of BR$(B_{s,d}^0\to \ell \bar{\ell })$ in models beyond the MSSM with SARAH and SPheno
• Flavor Physics in the LHC era: the role of the lattice
• Determination of c and b quark masses