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I outline the basic strategies for the computation of charm and bottom quark masses by means of lattice QCD, where particular emphasis is placed on the non-perturbative renormalization of the effective theory for the b-quark in heavy-light…

High Energy Physics - Lattice · Physics 2011-01-27 Jochen Heitger

We present results for the static inter-quark potential, lightest glueballs, light hadron spectrum and topological susceptibility using a non-perturbatively improved action on a $16^3\times 32$ lattice at a set of values of the bare gauge…

We explore a novel approach to compute the force between a static quark and a static antiquark with lattice gauge theory directly. The approach is based on expectation values of Wilson loops or Polyakov loops with chromoelectric field…

High Energy Physics - Lattice · Physics 2022-04-06 Nora Brambilla , Viljami Leino , Owe Philipsen , Christian Reisinger , Antonio Vairo , Marc Wagner

A recently proposed strategy to quantify the role of the charm quark mass in the $\Delta I=1/2$ rule is reviewed. Results for the low-energy couplings of the $\Delta S=1$ chiral effective Hamiltonian in a theory with a light charm quark…

High Energy Physics - Lattice · Physics 2008-11-26 P. Hernandez

An updated heavy quark-antiquark potential is constructed by matching the short-distance perturbative part to long-distance lattice QCD results at an intermediate r scale. The static potential and the order 1/m potential are both analyzed…

High Energy Physics - Phenomenology · Physics 2011-05-04 Alexander Laschka , Norbert Kaiser , Wolfram Weise

The critical quark mass, at which the renormalised mass vanishes, is computed in the Schrodinger functional scheme with a non vanishing background field at one-loop order of perturbation theory. Further one-loop calculations are done for…

High Energy Physics - Lattice · Physics 2007-05-23 Stefan Kurth

We investigate the low-lying eigenvalues of the improved Wilson-Dirac operator in the Schroedinger functional with two dynamical quark flavors. At a lattice spacing of approximately 0.1 fm we find more very small eigenvalues than in the…

High Energy Physics - Lattice · Physics 2009-11-10 M. Della Morte , R. Hoffmann , F. Knechtli , U. Wolff

We calculate analytically the improvement coefficients of the static axial and vector currents in O(a) improved lattice QCD at one-loop order of perturbation theory. The static quark is described by the hypercubic action, previously…

High Energy Physics - Lattice · Physics 2008-11-26 A. Grimbach , D. Guazzini , F. Knechtli , F. Palombi

Vacuum of Quantum Chromodynamics in very strong (hadron-scale) magnetic fields exhibits many interesting nonperturbative effects. Some of these effects can be studied with the help of lattice simulations in quenched QCD. We review our…

High Energy Physics - Phenomenology · Physics 2009-09-15 P. V. Buividovich , M. N. Chernodub , E. V. Luschevskaya , M. I. Polikarpov

I review the basic ideas behind lattice QCD calculations that involve charm and bottom quarks. I report on the progress in getting the correct hyperfine splitting in charmonium from lattice QCD. Some of the basic technology behind numerical…

High Energy Physics - Lattice · Physics 2017-08-23 Craig McNeile

We present results at one-loop order of perturbation theory for various improvement coefficients in on-shell O($a$) improved lattice QCD. In particular we determine the additive counterterm required for on-shell improvement of the isovector…

High Energy Physics - Lattice · Physics 2009-10-30 Stefan Sint , Peter Weisz

We compute the hadronic light-by-light scattering contribution to the muon $g-2$ from the charm quark using lattice QCD. The calculation is performed on ensembles generated with dynamical $(u,d,s)$ quarks at the SU(3)$_{\rm f}$ symmetric…

High Energy Physics - Lattice · Physics 2022-08-24 En-Hung Chao , Renwick J. Hudspith , Antoine Gérardin , Jeremy R. Green , Harvey B. Meyer

We study the effects of heavy quarks on the equation of state for cold and dense quark matter obtained from perturbative QCD, yielding observables parametrized only by the renormalization scale. We investigate the thermodynamics of charm…

High Energy Physics - Phenomenology · Physics 2020-08-21 José C. Jiménez , Eduardo S. Fraga

The temporal and spatial components of the heavy-light vector current and the spatial components of the axial current are expressed in terms of lattice-regulated operators suitable for simulations of B and D mesons. The currents are…

High Energy Physics - Lattice · Physics 2009-10-31 Colin J. Morningstar , J. Shigemitsu

A brief overview of the lattice technique of studying QCD is presented. Recent results from the UKQCD Collaboration's simulations with dynamical quarks are then presented. In this work, the calculations are all at a fixed lattice spacing…

High Energy Physics - Phenomenology · Physics 2009-11-07 Chris Allton

We discuss the problem of lattice artefacts in QCD simulations enhanced by the introduction of dynamical charmed quarks. In particular, we advocate the use of a massive renormalization scheme with a close to realistic charm mass. To…

High Energy Physics - Lattice · Physics 2018-06-07 Patrick Fritzsch , Rainer Sommer , Felix Stollenwerk , Ulli Wolff

Physical contribution of the high-energy part of hadronic spectrum is incorporated to describe the short-distance part of the correlator of heavy-quark currents obtained by quenched Monte-Carlo on a $8^3*16$- and $16^3*32$-lattices for…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alexander Bochkarev

Heavy quarks, such as charm and beauty, possess masses significantly larger than the characteristic energy scale of Quantum Chromodynamics (QCD), and are thus predominantly produced in hard-scattering processes with large momentum transfer…

High Energy Physics - Experiment · Physics 2025-06-30 Renu Bala

We describe a new technique to determine the contribution to the anomalous magnetic moment of the muon coming from the hadronic vacuum polarization using lattice QCD. Our method reconstructs the Adler function, using Pad\'{e} approximants,…

High Energy Physics - Lattice · Physics 2015-06-19 Bipasha Chakraborty , C. T. H. Davies , G. C. Donald , R. J. Dowdall , J. Koponen , G. P. Lepage , T. Teubner

I make a number of observations concerning discretization errors in twisted-mass lattice QCD that can be deduced by applying chiral perturbation theory including lattice artifacts. (1) The line along which the PCAC quark mass vanishes in…

High Energy Physics - Lattice · Physics 2011-07-19 Stephen R. Sharpe