Heavy-meson semileptonic decays calculations on the lattice are reviewed. The focus is upon obtaining reliable matrix elements. Errors that depend upon the lattice spacing, a, are an important source of systematic error. Full O(a) improvement of matrix elements for arbitrary-mass four-component quarks is discussed. With improvement, bottom-quark matrix elements can be calculated directly using ...

After a brief discussion of the promise and limitations of the lattice technique, I review lattice QCD results for several quantities of phenomenological interest. These are: matrix elements for heavy-to-light meson decays, leptonic decay constants f B and f D , the parameters B B and B K for neutral B and K meson mixing respectively, the strong coupling constant, light quark masses and the lig...

The local structures of the inorganic component of selected organic–inorganic perovskites (OIPs) are studied by analyzing the X-ray pair distribution function. Whereas the long-range structure of each perovskite is the untilted Pm3jm phase, all the OIPs showed significant internal distortion of the octahedra. Varying the halide has a significant impact on the lattice constant. There is evidence...

The .whole measurement process includes data collection, data processing and analysis and other procedures accounting for criteria useful to the evaluation of the experiemental observation and results. Reproducibility, repeatability and uncertainty are useful for evaluating the experimental observation. Precision and accuracy play a role in the results’ achievement from XRPD data collection. In...

A comprehensive analysis of tadpole-improved SU(2) lattice gauge theory is made. Simulations are done on isotropic and anisotropic lattices, with and without improvement. Two tadpole renormalization schemes are employed, one using average plaquettes, the other using mean links in Landau gauge. Simulations are done with spatial lattice spacings as in the range of about 0.1– 0.4 fm. Results are p...

We propose a method which allows the generalization of the Landau lattice gauge-fixing procedure to generic covariant gauges. We report preliminary numerical results showing how the procedure works for SU(2) and SU(3). We also report numerical results showing that the contribution of finite lattice-spacing effects and/or spurious copies are relevant in the lattice gauge-fixing procedure.

We present results from simulations of two flavor QCD thermodynamics at Nt = 4 with domain wall fermions. In contrast to other lattice fermion formulations, domain wall fermions preserve the full SUL(Nf )⊗ SUR(Nf) symmetry of the continuum at finite lattice spacing (up to terms exponentially small in an extra parameter). Just above the phase transition, we find that the UA(1) symmetry is broken...

We determine the mass of the charm quark (mc) from lattice QCD with two flavors of dynamical quarks with a mass around the strange quark. We compare this to a determination in quenched QCD which has the same lattice spacing (0.1 fm). We investigate different formulations of the quark mass, based on the Vector Ward Identity, PCAC relation and the FNAL heavy quark formalism. Based on these prelim...

We study the flavour singlet pseudoscalar mesons from first principles using lattice QCD. With Nf = 2 flavours of light quark, this is the socalled η2 meson and we discuss the phenomenological status of this. Using maximally twisted-mass lattice QCD, we extract the mass of the η2 meson at two values of the lattice spacing for lighter quarks than previously discussed in the literature. We are ab...

A lattice QCD calculation of the B̄ → Dlν̄ decay form factors is presented. We obtain the value of the form factor h+(w) at the zero-recoil limit w = 1 with high precision by considering a ratio of correlation functions in which the bulk of the uncertainties cancels. The other form factor h−(w) is calculated, for small recoil momenta, from a similar ratio. In both cases, the heavy quark mass depe...