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Some results in QCD_2 at large N are presented using the reduced model on the lattice. Overlap fermions are used to compute meson propagators.

High Energy Physics - Lattice · Physics 2009-11-07 J. Kiskis , R. Narayanan. H. Neuberger

We present an improved result of lattice computation of the proton decay matrix elements in $N_f=2+1$ QCD. In this study, the significant improvement of statistical accuracy by adopting the error reduction technique of All-mode-averaging,…

High Energy Physics - Lattice · Physics 2017-07-19 Yasumichi Aoki , Taku Izubuchi , Eigo Shintani , Amarjit Soni

Very recently, a lattice QCD collaboration has explored threshold pion electroproduction near the physical pion mass and has simulated the relevant multipole amplitudes. Different multipole amplitudes are usually entangled in experimental…

High Energy Physics - Phenomenology · Physics 2026-03-09 Yu Zhuge , Zhan-Wei Liu , Derek B. Leinweber , Anthony W. Thomas

We assess the two-photon exchange contribution to the Lamb shift in muonic hydrogen with forward dispersion relations. The subtraction constant $\bar T(0,Q^2)$ that is necessary for a dispersive evaluation of the forward doubly-virtual…

Nuclear Theory · Physics 2015-06-15 Mikhail Gorchtein , Felipe J. Llanes-Estrada , Adam P. Szczepaniak

We present a lattice-QCD calculation of the pion distribution amplitudes using large-momentum effective theory (LaMET). Our calculation is carried out using five ensembles with 2+1+1 flavors of highly improved staggered quarks (HISQ),…

High Energy Physics - Lattice · Physics 2021-08-11 Nicholas Juliano , Rui Zhang , Carson Honkala , Huey-Wen Lin

As part of the UKQCD and RBC collaborations' N_f=2+1 domain-wall fermion phenomenology programme, we calculate the first two moments of the light-cone distribution amplitudes of the pseudoscalar mesons pion and kaon and the…

High Energy Physics - Lattice · Physics 2011-04-22 R. Arthur , P. A. Boyle , D. Brömmel , M. A. Donnellan , J. M. Flynn , A. Jüttner , T. D. Rae , C. T. C. Sachrajda

We employ chiral perturbation theory to calculate the nucleon-pion-state contribution to the 3-point correlation functions measured in lattice QCD to compute various moments of parton distribution functions (quark momentum fraction,…

High Energy Physics - Lattice · Physics 2017-03-08 Oliver Bar

This paper reviews the most popular methods which are used in lattice QCD to compute the determinant of the lattice Dirac operator: Gaussian integral representation and noisy methods. Both of them lead naturally to matrix function problems.…

High Energy Physics - Lattice · Physics 2007-05-23 Artan Borici

We consider the two-photon exchange contribution to the $2P-2S$ Lamb shift in muonic deuterium in the framework of forward dispersion relations. The dispersion integrals are evaluated using experimental data on elastic deuteron form factors…

Nuclear Theory · Physics 2014-02-05 Carl E. Carlson , Mikhail Gorchtein , Marc Vanderhaeghen

These notes aim to provide a pedagogical introduction to Lattice QCD. The topics covered include the scope of LQCD calculations, lattice discretization of gauge and fermion (naive, Wilson, and staggered) actions, doubling problem, improved…

High Energy Physics - Lattice · Physics 2007-05-23 Rajan Gupta

Lattice Gauge Theory enables an ab initio study of the low-energy properties of Quantum Chromodynamics, the theory of the strong interaction. I begin these lectures by presenting the lattice formulation of QCD, and then outline the…

Nuclear Theory · Physics 2017-08-23 D. G. Richards

We present a formula that allows one to calculate the pion form factor in the timelike region 2mpi <= sqrt{s} <= 4mpi in lattice QCD. The form factor quantifies the contribution of two-pion states to the vacuum polarization. It must be…

High Energy Physics - Lattice · Physics 2012-04-04 Harvey B. Meyer

The transport coefficient $\hat{q}$ is a leading coefficient that controls the modification of the hard parton traversing QGP, and hence, responsible for the suppression of the high transverse momentum (transverse to the beam direction)…

Nuclear Theory · Physics 2020-09-15 Amit Kumar , Abhijit Majumder , Johannes Heinrich Weber

We propose a fully non-perturbative method to compute inelastic lepton-nucleon ($\ell N$) scattering cross sections using lattice QCD. The method is applicable even at low energies, such as the energy region relevant for the recent and…

High Energy Physics - Lattice · Physics 2021-01-04 Hidenori Fukaya , Shoji Hashimoto , Takashi Kaneko , Hiroshi Ohki

In this work, we present a first-principles lattice-QCD calculation of the unpolarized quark PDF for the pion and the kaon. The lattice data rely on matrix elements calculated for boosted mesons coupled to non-local operators containing a…

High Energy Physics - Lattice · Physics 2026-05-20 Joshua Miller , Joseph Torsiello , Isaac Anderson , Krzysztof Cichy , Martha Constantinou , Joseph Delmar , Sarah Lampreich

Nucleon-structure calculations of isovector vector- and axialvector-current form factors, transversity and scalar charge, and quark momentum and helicity fractions are reported from two recent 2+1-flavor dynamical domain-wall fermions…

High Energy Physics - Lattice · Physics 2019-08-14 Shigemi Ohta

In lattice-QCD calculations of parton distribution functions (PDFs) via large-momentum effective theory, the leading power (twist-three) correction appears as ${\cal O}(\Lambda_{\rm QCD}/P^z)$ due to the linear-divergent self-energy of…

High Energy Physics - Lattice · Physics 2023-08-09 Rui Zhang , Jack Holligan , Xiangdong Ji , Yushan Su

We calculate the vacuum polarization functions on the lattice using the overlap fermion formulation.By matching the lattice data at large momentum scales with the perturbative expansion supplemented by Operator Product Expansion (OPE), we…

High Energy Physics - Lattice · Physics 2019-08-13 E. Shintani , S. Aoki , T. W. Chiu , S. Hashimoto , T. H. Hsieh , T. Kaneko , H. Matsufuru , J. Noaki , T. Onogi , N. Yamada

We calculate the lower moments of the deep-inelastic structure functions of the pion and the rho meson on the lattice. Of particular interest to us are the spin-dependent structure functions of the rho. The calculations are done with Wilson…

High Energy Physics - Lattice · Physics 2008-11-26 C. Best , M. Göckeler , R. Horsley , E. -M. Ilgenfritz , H. Perlt , P. Rakow , A. Schäfer , G. Schierholz , A. Schiller , S. Schramm

We evaluate the Collins-Soper kernel and the reduced soft function in lattice QCD, incorporating $\mathcal{O}(\alpha_s)$ matching corrections. The calculation relies on the evaluation of the quasi-transverse momentum-dependent wave function…