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We present a lattice calculation of the vector form factor of the pion for two flavours of non-perturbatively O(a) improved Wilson fermions. For the measurements we utilise the CLS ensembles which include various lattice spacings and pion…

High Energy Physics - Lattice · Physics 2011-09-02 Bastian B. Brandt , Andreas Juttner , Hartmut Wittig

We determine the pion parton distribution functions (PDFs) from its light-front wave functions, obtained using the holographic Schr\"odinger equation of light-front chiral QCD combined with the 't Hooft equation in (1+1)-dimensional QCD at…

High Energy Physics - Phenomenology · Physics 2026-05-15 Jiangshan Lan , Satvir Kaur , Chandan Mondal

We compute the electromagnetic form factor of a "pion" with mass m_pi=330MeV at low values of Q^2\equiv -q^2, where q is the momentum transfer. The computations are performed in a lattice simulation using an ensemble of the RBC/UKQCD…

High Energy Physics - Lattice · Physics 2009-01-06 P. A. Boyle , J. M. Flynn , A. Juttner , C. Kelly , H. Pedroso de Lima , C. M. Maynard , C. T. Sachrajda , J. M. Zanotti

We present, for the first time, an \textit{ab initio} calculation of the individual up, down and strange quark helicity parton distribution functions for the proton. The calculation is performed within the twisted mass clover-improved…

High Energy Physics - Lattice · Physics 2021-03-17 C. Alexandrou , M. Constantinou , K. Hadjiyiannakou , K. Jansen , F. Manigrasso

We present an attempt of maximum entropy principle to determine valence quark distributions in the proton at very low resolution scale $Q_0^2$. The initial three valence quark distributions are obtained with limited dynamical information…

High Energy Physics - Phenomenology · Physics 2015-03-31 Rong Wang , Xurong Chen

We develop a relativistic quark model for pion structure, which incorporates the non-trivial structure of the vacuum of Quantum Chromodynamics as modelled by instantons. Pions are boundstates of quarks and the strong quark-pion vertex is…

High Energy Physics - Phenomenology · Physics 2009-10-31 I. V. Anikin , A. E. Dorokhov , A. E. Maximov , L. Tomio , V. Vento

Supposing only that there is an effective charge which defines an evolution scheme for parton distribution functions (DFs) that is all-orders exact, strict lower and upper bounds on all Mellin moments of the valence-quark DFs of pion-like…

High Energy Physics - Phenomenology · Physics 2022-06-01 Z. -F. Cui , M. Ding , J. M. Morgado , K. Raya , D. Binosi , L. Chang , F. De Soto , C. D. Roberts , J. Rodríguez-Quintero , S. M. Schmidt

The s-wave pion-kaon ($\pi K$) scattering lengths at zero momentum are calculated in lattice QCD with sufficiently light $u/d$ quarks and strange quark at its physical value by the finite size formula. The light quark masses correspond to…

High Energy Physics - Lattice · Physics 2012-04-04 Ziwen Fu

We derive one-loop matching relations for the Ioffe-time distributions related to the pion distribution amplitude (DA) and generalized parton distributions (GPDs). They are obtained from a universal expression for the one-loop correction in…

High Energy Physics - Phenomenology · Physics 2019-12-25 Anatoly Radyushkin

We present the first study of the masses and decay constants of the pseudoscalar $ D $ mesons in two flavors lattice QCD with domain-wall fermion. The gauge ensembles are generated on the $24^3 \times 48 $ lattice with the extent $ N_s = 16…

High Energy Physics - Lattice · Physics 2014-07-31 Wen-Ping Chen , Yu-Chih Chen , Ting-Wai Chiu , Han-Yi Chou , Tian-Shin Guu , Tung-Han Hsieh

This talk presents issues pertaining to the quark structure of the pion within QCD, both from the theoretical and from the experimental point of view. We review and discuss the pion-photon transition form factor and the pion's…

High Energy Physics - Phenomenology · Physics 2008-11-07 N. G. Stefanis

Moments of the quark density, helicity, and transversity distributions are calculated in unquenched lattice QCD. Calculations of proton matrix elements of operators corresponding to these moments through the operator product expansion have…

We present the first Monte Carlo based global QCD analysis of spin-averaged and spin-dependent parton distribution functions (PDFs) that includes nucleon isovector matrix elements in coordinate space from lattice QCD. We investigate the…

High Energy Physics - Phenomenology · Physics 2021-01-13 J. Bringewatt , N. Sato , W. Melnitchouk , Jian-Wei Qiu , F. Steffens , M. Constantinou

We present the first lattice quantum chromodynamics (QCD) calculation of the pion valence-quark transverse-momentum-dependent parton distribution function (TMDPDF) within the framework of large-momentum effective theory (LaMET). Using…

High Energy Physics - Lattice · Physics 2025-10-09 Dennis Bollweg , Xiang Gao , Jinchen He , Swagato Mukherjee , Yong Zhao

Generalized parton distributions (GPDs) are key quantities for the description of a hadron's three-dimensional structure. They are the current focus of all areas of hadronic physics -- phenomenological, experimental, and theoretical,…

High Energy Physics - Lattice · Physics 2024-09-05 Shohini Bhattacharya , Krzysztof Cichy , Martha Constantinou , Andreas Metz , Niilo Nurminen , Fernanda Steffens

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 calculate the pion's valence-quark momentum-fraction probability distribution using a Dyson-Schwinger equation model. Valence-quarks with an active mass of 0.30 GeV carry 71% of the pion's momentum at a resolving scale q_0=0.54 GeV =…

Nuclear Theory · Physics 2008-11-26 M. B. Hecht , C. D. Roberts , S. M. Schmidt

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 present a lattice calculation of the charged/neutral pion mass difference $M_{\pi^{+}}-M_{\pi^{0}}$ at order $\mathcal{O}(\alpha_{em})$ using the gauge configurations produced by the Extended Twisted Mass Collaboration with $N_{f}=2+1+1$…

High Energy Physics - Lattice · Physics 2022-07-20 R. Frezzotti , G. Gagliardi , V. Lubicz , G. Martinelli , F. Sanfilippo , S. Simula

The method for calculation of valence quark distributions at intermediate $x$ is presented. The imaginary part of the virtual photon forward scattering amplitude on the quark current with meson quantum number is considered. Initial and…

High Energy Physics - Phenomenology · Physics 2009-10-31 B. L. Ioffe , A. G. Oganesian