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Löffler, Marius ; Wein, Philipp ; Wurm, Thomas ; Weishäupl, Simon ; Jenkins, Daniel ; Rödl, Rudolf ; Schäfer, Andreas ; Walter, Lisa

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

Löffler, Marius, Wein, Philipp, Wurm, Thomas, Weishäupl, Simon, Jenkins, Daniel, Rödl, Rudolf, Schäfer, Andreas and Walter, Lisa (2022) Mellin moments of spin dependent and independent PDFs of the pion and rho meson. Physical Review D 105 (1), pp. 1-25.

Date of publication of this fulltext: 20 Feb 2022 16:13
Article
DOI to cite this document: 10.5283/epub.51760


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 ...

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.



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Details

Item typeArticle
Journal or Publication TitlePhysical Review D
Publisher:AMER PHYSICAL SOC
Place of Publication:COLLEGE PK
Volume:105
Number of Issue or Book Chapter:1
Page Range:pp. 1-25
Date10 January 2022
InstitutionsPhysics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer
Identification Number
ValueType
10.1103/PhysRevD.105.014505DOI
KeywordsDEEP-INELASTIC-SCATTERING; LEADING NEUTRON-PRODUCTION; QUANTUM-FIELD THEORIES; MUON PAIRS; LATTICE; DECOMPOSITION; MATRIX;
Dewey Decimal Classification500 Science > 530 Physics
StatusPublished
RefereedYes, this version has been refereed
Created at the University of RegensburgYes
URN of the UB Regensburgurn:nbn:de:bvb:355-epub-517602
Item ID51760

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