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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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| Item type | Article | ||||
| Journal or Publication Title | Physical Review D | ||||
| Publisher: | AMER PHYSICAL SOC | ||||
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| Place of Publication: | COLLEGE PK | ||||
| Volume: | 105 | ||||
| Number of Issue or Book Chapter: | 1 | ||||
| Page Range: | pp. 1-25 | ||||
| Date | 10 January 2022 | ||||
| Institutions | Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer | ||||
| Identification Number |
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| Keywords | DEEP-INELASTIC-SCATTERING; LEADING NEUTRON-PRODUCTION; QUANTUM-FIELD THEORIES; MUON PAIRS; LATTICE; DECOMPOSITION; MATRIX; | ||||
| Dewey Decimal Classification | 500 Science > 530 Physics | ||||
| Status | Published | ||||
| Refereed | Yes, this version has been refereed | ||||
| Created at the University of Regensburg | Yes | ||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-517602 | ||||
| Item ID | 51760 |
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