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We use the infinite volume reconstruction method to calculate the charged/neutral pion mass difference. The hadronic tensor is calculated on lattice QCD and then combined with an analytic photon propagator, and the mass splitting is…

High Energy Physics - Lattice · Physics 2022-02-23 Xu Feng , Luchang Jin , Michael Joseph Riberdy

The I=2 pipi scattering length is calculated in fully-dynamical lattice QCD with domain-wall valence quarks on the asqtad-improved coarse MILC configurations (with fourth-rooted staggered sea quarks) at four light-quark masses. Two- and…

High Energy Physics - Lattice · Physics 2008-11-26 Silas R. Beane , Thomas C. Luu , Kostas Orginos , Assumpta Parreno , Martin J. Savage , Aaron Torok , Andre Walker-Loud

We propose to introduce the intrinsic transversal momentum distribution functions (iTMDs), in conjunction with the light-cone distribution amplitudes (LCDAs), to elucidate the probability amplitude of encountering a meson state wherein the…

High Energy Physics - Phenomenology · Physics 2025-03-25 Jian Chai , Shan Cheng

In this report, computational techniques are employed to extract the energy eigenvalues of the pion from two-point correlation function data that has been simulated using the lattice formulation of Quantum Chromodynamics (QCD) across…

We present a comprehensive study of the electromagnetic form factor, the decay constant and the mass of the pion computed in lattice QCD with two degenerate O(a)-improved Wilson quarks at three different lattice spacings in the range…

High Energy Physics - Lattice · Physics 2015-06-16 Bastian B. Brandt , Andreas Juttner , Hartmut Wittig

The current status of lattice-QCD numerical calculations by joint LHP, RBC, and UKQCD collaborations of nucleon isovector vector- and axialvector-current form factors using a 2+1-flavor dynamical domain-wall fermions lattice QCD ensemble…

High Energy Physics - Lattice · Physics 2023-11-13 Shigemi Ohta

The temporal component of the heavy-light axial vector current is constructed to one-loop order in perturbation theory and to order 1/M, where M is the heavy quark mass, in terms of operators suitable for use in lattice simulations of B and…

High Energy Physics - Lattice · Physics 2016-08-25 Colin J. Morningstar , J. Shigemitsu

We show that the interplay of chiral effective field theory and lattice QCD can be used in the evaluation of so-called disconnected diagrams, which appear in the study of the isoscalar and isovector channels of pion-pion scattering and have…

High Energy Physics - Lattice · Physics 2017-12-22 Neramballi Ripunjay Acharya , Feng-Kun Guo , Ulf-G. Meißner , Chien-Yeah Seng

Lattice QCD should allow a derivation of the $\Delta I=1/2$ rule from first principles, but numerical calculations to date have been plagued by a variety of problems. After a brief review of these problems, we present several new methods…

High Energy Physics - Lattice · Physics 2009-10-09 C. Dawson , G. Martinelli , G. C. Rossi , C. T. Sachrajda , S. Sharpe , M. Talevi , M. Testa

We study s-wave pion-pion ($\pi\pi$) scattering length in lattice QCD for pion masses ranging from 330 MeV to 466 MeV. In the "Asqtad" improved staggered fermion formulation, we calculate the $\pi\pi$ four-point functions for isospin I=0…

High Energy Physics - Lattice · Physics 2015-05-30 Ziwen Fu

We suggest to carry out lattice calculations of current correlators in position space, sandwiched between the vacuum and a hadron state (e.g. pion), in order to access hadronic light-cone distribution amplitudes (DAs). In this way the…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. Braun , D. Müller

We calculate the leading twist valence quark distribution in the pion in the framework of QCD sum rules with nonlocal condensates. Particular attention has been paid to the correct account for the bilocal power corrections.

High Energy Physics - Phenomenology · Physics 2009-10-28 A. V. Belitsky

We calculate the light-cone wavefunctions of the pion by solving the meson boundstate problem in a coarse transverse lattice gauge theory using DLCQ. A large-N_c approximation is made and the light-cone Hamiltonian expanded in massive…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Dalley , B. van de Sande

We present a new Bjorken $x$-dependence analysis of a previous lattice quantum chromodynamics data for the pion distribution amplitude from MILC configurations with three lattice spacing $a=0.06,0.09, 0.12$~fm. A leading renormalon…

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

We present results on the lower moments of the nucleon generalized parton distri butions within lattice QCD using two dynamical flavors of degenerate twisted mass fermions. Our simulations are performed on lattices with three different…

High Energy Physics - Lattice · Physics 2011-07-05 C. Alexandrou , J. Carbonell , M. Constantinou , P. A. Harraud , P. Guichon , K. Jansen , C. Kallidonis , T. Korzec , M. Papinutto

The current status of the LHP and RBC joint calculations of the nucleon isovector form factors and low moments of structure functions with a 2+1-flavor dynamical domain-wall fermion (DWF) lattice-QCD ensemble at the physical pion mass…

High Energy Physics - Lattice · Physics 2015-11-17 Shigemi Ohta

We demonstrate a new method of extracting parton distributions from lattice calculations. The starting idea is to treat the generic equal-time matrix element ${\cal M} (Pz_3, z_3^2)$ as a function of the Ioffe time $\nu = Pz_3$ and the…

High Energy Physics - Phenomenology · Physics 2017-10-30 Kostas Orginos , Anatoly Radyushkin , Joseph Karpie , Savvas Zafeiropoulos

Lorentz invariance relations connecting twist-3 parton distributions with transverse momentum dependent twist-2 distributions have been proposed previously. These relations can be extracted from a covariant decomposition of the quark-quark…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Schlegel , A. Metz

Building upon the PDFSense framework developed in Ref. [1], we perform a comprehensive analysis of the sensitivity of present and future high-energy data to a number of quantities commonly evaluated in lattice gauge theory, with a…

High Energy Physics - Phenomenology · Physics 2021-06-15 T. J. Hobbs , Bo-Ting Wang , Pavel M. Nadolsky , Fredrick I. Olness

We present results for the isospin-0 $\pi\pi$ s-wave scattering length calculated with Osterwalder-Seiler valence quarks on Wilson twisted mass gauge configurations. We use three $N_f = 2$ ensembles with unitary (valence) pion mass at its…

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