Mellin moments of spin dependent and independent PDFs of the pion and rho meson

Loeffler, Marius and Wein, Philipp and Wurm, Thomas and Weishaeupl, Simon and Jenkins, Daniel and Roedl, Rudolf and Schaefer, Andreas and Walter, Lisa (2022) Mellin moments of spin dependent and independent PDFs of the pion and rho meson. PHYSICAL REVIEW D, 105 (1): 014505. ISSN 2470-0010, 2470-0029

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Abstract

We compute the second moments of pion and rho parton distribution functions in lattice QCD with N-f = 2 + 1 flavors of improved Wilson fermions. We determine both singlet and nonsinglet flavor combinations and, for the first time, take disconnected contributions fully into account. In the case of the rho, we also calculate the additional contribution arising from the b(1) structure function. The numerical analysis includes 26 ensembles, mainly generated by the CLS effort, with pion masses ranging from 420 down to 214 MeV and with 5 different lattice spacings in the range of 0.1 to 0.05 fm. This enables us to take the continuum limit, as well as to resolve the quark mass dependencies reliably. Additionally we discuss the contaminations of rho correlation functions by two-pion states.

Item Type: Article
Uncontrolled Keywords: DEEP-INELASTIC-SCATTERING; LEADING NEUTRON-PRODUCTION; QUANTUM-FIELD THEORIES; MUON PAIRS; LATTICE; DECOMPOSITION; MATRIX;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer
Depositing User: Dr. Gernot Deinzer
Date Deposited: 07 Nov 2023 11:02
Last Modified: 07 Nov 2023 11:02
URI: https://pred.uni-regensburg.de/id/eprint/56682

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