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Gradient Flow for Parton Distribution Functions: First Application to the Pion

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Andrea Shindler ^3,5,4,†, André Walker-Loud ^5,4, and Savvas Zafeiropoulos ¹⁰

¹Institute of Physics, National Yang Ming Chiao Tung University, 30010 Hsinchu, Taiwan
²School of Mathematics, Trinity College, College Green, Dublin, Ireland
³Institute for Theoretical Particle Physics and Cosmology, TTK, RWTH Aachen University, Sommerfeldstraße 16, Aachen 52074, Germany
⁴Department of Physics, University of California, Berkeley, California 94720, USA
⁵Nuclear Science Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
⁶Lattice Gauge Theory Research Center, Department of Physics and Astronomy, Seoul National University, Seoul 08826, Korea
⁷Jülich Supercomputing Center, Forschungszentrum Jülich, Wilhelm-Johnen-Straße, 54245 Jülich, Germany
⁸Center for Advanced Simulation and Analytics (CASA), Forschungszentrum Jülich, Wilhelm-Johnen-Straße, 54245 Jülich, Germany
⁹ℏQTC & IMADA, University of Southern Denmark, Campusvej 55, 5230 Odense M, Denmark
¹⁰Aix Marseille Univ, Université de Toulon, CNRS, CPT, Marseille, France

^*Contact author: dpefkou@berkeley.edu
^†Contact author: shindler@physik.rwth-aachen.de

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Articles Citing

Gradient Flow for Parton Distribution Functions: First Application to the Pion

Lattice-QCD Validation of Hadron Mass and Trace-Anomaly Decomposition Sum Rules

First simultaneous global QCD analysis of kaon and pion parton distributions with lattice QCD constraints

Proton isovector helicity PDF at NNLO and the twist-3 moment d˜2 from lattice QCD at physical quark masses

Accessing the gluon momentum fraction of nucleons through the gradient flow

Pion parton distribution functions in the light-cone quark model and experimental constraints

Mellin moments of pion and kaon unpolarized PDFs from nonlocal operators in lattice QCD

Third moments of nucleon unpolarized, polarized, and transversity parton distribution functions from physical-point lattice QCD

Higher Mellin moments of the unpolarized PDF of the pion and the kaon from lattice QCD

Moments of parton distribution functions of the pion from lattice QCD using gradient flow

Pion and kaon PDFs from lattice QCD via large momentum effective theory and short-distance factorization

Quark-mass effects in gradient-flow observables through next-to-next-to-leading order in QCD

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