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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…

High Energy Physics - Lattice · Physics 2007-05-23 Jonathan M Flynn

We study the anisotropic lattice QCD for precision computations of heavy-light matrix elements. Our previous study in which the lattices are calibrated with a few percent accuracy has already given results comparable to the existing…

High Energy Physics - Lattice · Physics 2009-11-10 Hideo Matsufuru , Masanori Okawa , Tetsuya Onogi , Takashi Umeda

Quantum Chromodynamics (QCD) is the theory of the strong interactions within the Standard Model of particle physics, which explains more than 99% of the mass of the visible Universe. However, there is evidence that a substantial portion of…

High Energy Physics - Lattice · Physics 2026-04-01 Bastian B. Brandt , Gergely Endrődi , José Javier Hernández Hernández , Gergely Markó , Laurin Pannullo

Within the framework of lattice QCD a high statistics computation of the nucleon axial and tensor charges is given. Particular attention is paid to the chiral and continuum extrapolations.

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Capitani , M. Gockeler , R. Horsley , H. Perlt , D. Petters , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , P. Stephenson

Quantum Chromodynamics and Quantum Electrodynamics, both renormalizable quantum field theories with a small number of precisely constrained input parameters, dominate the dynamics of the quarks and gluons - the underlying building blocks of…

Nuclear Theory · Physics 2015-10-08 Martin J. Savage

I give a brief overview of recent results from lattice QCD calculations which are relevant for the phenomenology of the Standard Model. I discuss, in particular, the lattice determination of light quark masses and the calculation of those…

High Energy Physics - Phenomenology · Physics 2009-10-31 Vittorio Lubicz

I review the current status of lattice calculations of heavy quark quantities. Particular emphasis is placed on leptonic and semileptonic decay matrix elements.

High Energy Physics - Lattice · Physics 2015-06-25 Sinead Ryan

Results for the isovector axial form factors of the proton from a lattice QCD calculation are presented for both point-split and local currents. They are obtained on a quenched $16^{3} \times 24$ lattice at $\beta= 6.0$ with Wilson fermions…

High Energy Physics - Lattice · Physics 2009-09-25 K. F. Liu , S. J. Dong , T. Draper , J. M. Wu , W. Wilcox

A century of coherent experimental and theoretical investigations have uncovered the laws of nature that underly nuclear physics. The standard model of strong and electroweak interactions, with its modest number of input parameters,…

Nuclear Theory · Physics 2013-09-19 Martin J. Savage

We present results for the form factors of the isovector axial vector current in the nucleon state using large scale simulations of lattice QCD. The calculations were done using eight ensembles of gauge configurations generated by the MILC…

High Energy Physics - Lattice · Physics 2017-12-13 Rajan Gupta , Yong-Chull Jang , Huey-Wen Lin , Boram Yoon , Tanmoy Bhattacharya

We calculate, in the continuum limit of quenched lattice QCD, the matrix elements of the heavy-heavy vector current between heavy-light pseudoscalar meson states. We present the form factors for different values of the initial and final…

High Energy Physics - Lattice · Physics 2008-11-26 G. M. de Divitiis , R. Petronzio , N. Tantalo

We present state-of-the-art results from a lattice QCD calculation of the nucleon axial coupling, $g_A$, using M\"obius Domain-Wall fermions solved on the dynamical $N_f = 2 + 1 + 1$ HISQ ensembles after they are smeared using the…

Recent progress in lattice QCD calculations of nucleon structure will be presented. Calculations of nucleon matrix elements and form factors have long been difficult to reconcile with experiment, but with advances in both methodology and…

High Energy Physics - Lattice · Physics 2016-01-29 Jeremy Green

We present a method to estimate the matrix element of the singlet axial current within a polarized proton state using lattice QCD. The method relies on using the Adler-Bell-Jackiw anomaly and gives the desired result in the chiral limit. We…

High Energy Physics - Lattice · Physics 2009-10-22 Rajan Gupta , Jeffrey Mandula

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

The reduced matrix elements a_2 and d_2 are computed in lattice QCD with N_f=2 flavors of light dynamical (sea) quarks. For proton and neutron targets we obtain as our best estimates d_2^(p)=0.004(5) and d_2^(n)=-0.001(3), respectively, in…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , R. Horsley , D. Pleiter , P. E. L. Rakow , A. Schäfer , G. Schierholz , H. Stüben , J. M. Zanotti

The numerical technique of Lattice QCD holds the promise of connecting the nuclear forces, nuclei, the spectrum and structure of hadrons, and the properties of matter under extreme conditions with the underlying theory of the strong…

Nuclear Theory · Physics 2015-06-23 Silas R. Beane , William Detmold , Kostas Orginos , Martin J. Savage

As algorithms and computing power have advanced, lattice QCD has become a precision technique for many QCD observables. However, the calculation of nucleon matrix elements remains an open challenge. I summarize the status of the lattice…

High Energy Physics - Lattice · Physics 2015-05-27 Dru B. Renner

The nucleon axial-vector form factor, $G_A$, is critical to determine the electroweak interactions of leptons with nucleons. Important examples of processes influenced by $G_A$ are elastic (anti)neutrino-nucleon scattering and muon capture…

High Energy Physics - Phenomenology · Physics 2026-04-09 Oleksandr Tomalak , Aaron S. Meyer , Clarence Wret , Tejin Cai , Richard J. Hill , Kevin S. McFarland

This document is one of a series of whitepapers from the USQCD collaboration. Here, we discuss opportunities for Lattice Quantum Chromodynamics (LQCD) in the research frontier in fundamental symmetries and signals for new physics. LQCD, in…