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QCD sum rules are analytic predictions of hadron observables from quantum chromodynamics. In the so-called local-duality limit of their Borel-transformed form, all nonperturbative contributions are encompassed by just a single quantity, an…

High Energy Physics - Phenomenology · Physics 2017-09-08 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

Recent progress in hadron structure calculations within lattice QCD is reviewed. Results on key observables such as the axial charge, the quark momentum fraction and the spin content of the nucleon are discussed with focus on open issues.…

High Energy Physics - Lattice · Physics 2015-06-03 Constantia Alexandrou

Standard lattice calculations in kaon physics are based on the evaluation of matrix elements of local operators between two single-hadron states or a single-hadron state and the vacuum. Recent progress in lattice QCD has gone beyond these…

High Energy Physics - Lattice · Physics 2018-04-18 Xu Feng

In this work we outline a program for lattice QCD that would provide a first step toward understanding the strong and weak interactions of strange baryons. The study of hypernuclear physics has provided a significant amount of information…

Nuclear Theory · Physics 2014-11-18 S. R. Beane , P. F. Bedaque , A. Parreno , M. J. Savage

Recent conceptual, algorithmic and technical advances allow numerical simulations of lattice QCD with Wilson quarks to be performed at significantly smaller quark masses than was possible before. Here we report on simulations of two-flavour…

High Energy Physics - Lattice · Physics 2010-02-03 L. Del Debbio , L. Giusti , M. Lüscher , R. Petronzio , N. Tantalo

The question how the spin of the nucleon is distributed among its quark and gluon constituents is still a subject of intense investigations. Lattice QCD has progressed to provide information about spin fractions and orbital angular momentum…

High Energy Physics - Phenomenology · Physics 2012-08-15 M. Altenbuchinger , Ph. Hägler , W. Weise , E. M. Henley

Isospin-breaking corrections to the hadron vacuum polarization component of the anomalous magnetic moment of the muon are needed to ensure the theoretical precision of $g_\mu -2$ is below the experimental precision. We describe the status…

State-of-the-art lattice QCD simulations enable the evaluation of nucleon form factors and Mellin moments with controlled systematics, yielding results with unprecedented accuracy. At the same time, new theoretical approaches are allowing…

High Energy Physics - Lattice · Physics 2024-01-30 Constantia Alexandrou , Simone Bacchio

The quark-connected part of the hadronic light-by-light scattering contribution to the muon's anomalous magnetic moment is computed using lattice QCD with chiral fermions. We report several significant algorithmic improvements and…

High Energy Physics - Lattice · Physics 2016-01-20 Thomas Blum , Norman Christ , Masashi Hayakawa , Taku Izubuchi , Luchang Jin , Christoph Lehner

QCD sum rules for decay constants of heavy mesons with $u$ or $d$ quark yield for $B$ mesons much less isospin breaking than lattice QCD but good agreement for $D$ mesons.

High Energy Physics - Phenomenology · Physics 2016-12-06 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

Compared with lattice QCD, isospin breaking of heavy-meson decay constants from QCD sum rules agrees for $D$ mesons but disagrees (by a factor of four) for $B$ mesons.

High Energy Physics - Phenomenology · Physics 2017-03-27 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

I review lattice calculations of quantities that involve light quarks, including light quark masses, the vector form factor f_+(0) needed for semileptonic kaon decays, and kaon mixing. Results for most of these quantities are now available…

High Energy Physics - Lattice · Physics 2011-06-03 Jack Laiho

We calculate the mass difference between the $\Upsilon$ and $\eta_b$ and the $\Upsilon$ leptonic width from lattice QCD using the Highly Improved Staggered Quark formalism for the $b$ quark and including $u$, $d$, $s$ and $c$ quarks in the…

High Energy Physics - Lattice · Physics 2021-03-31 D. Hatton , C. T. H. Davies , J. Koponen , G. P. Lepage , A. T. Lytle

Isospin symmetry breaking in the quark condensates, $< \bar dd> \not= < \bar uu>$, is a fundamental parameter in both the QCD sum rule studies and the chiral perturbation theory. In this article, we apply the QCD sum rule method to treat…

High Energy Physics - Phenomenology · Physics 2007-05-23 W-Y. P. Hwang , Kwei-Chou Yang

The potential between two heavy-light mesons as a function of the heavy quark separation is calculated in quenched SU(3) lattice QCD. We study the case of heavy-light mesons with a static heavy quark and light quarks of mass close to the…

High Energy Physics - Lattice · Physics 2008-11-26 UKQCD Collaboration , C. Michael , P. Pennanen

This document is one of a series of whitepapers from the USQCD collaboration. Here, we discuss opportunities for lattice QCD in neutrino-oscillation physics, which inevitably entails nucleon and nuclear structure. In addition to discussing…

The electroweak interaction at the level of quarks and gluons are well understood from precision measurements in high energy collider experiments. Relating these fundamental parameters to Hadronic Parity Violation in nuclei however remains…

High Energy Physics - Lattice · Physics 2015-11-10 Thorsten Kurth , Evan Berkowitz , Enrico Rinaldi , Pavlos Vranas , Amy Nicholson , Mark Strother , Andre Walker-Loud

The problems encountered in the determination of m_u and m_d are discussed. While their sum is known quite well, the difference m_d-m_u, which measures the breaking of isospin symmetry in the QCD Lagrangian, is still subject to significant…

High Energy Physics - Phenomenology · Physics 2015-06-16 H. Leutwyler

We discuss the determination of deep-inelastic hadron structure in lattice QCD. By using a fictitious heavy quark, direct calculations of the Compton scattering tensor can be performed in Euclidean space that allow the extraction of the…

High Energy Physics - Lattice · Physics 2008-11-26 William Detmold , C. -J. David Lin

We estimate the isospin breaking contributions to the baryon masses which we analyzed recently using a loop expansion in the heavy baryon approximation to chiral effective field theory. To one loop, the isospin breaking corrections come…

High Energy Physics - Phenomenology · Physics 2009-11-11 Phuoc Ha