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Nucleon isovector charges and twist-2 matrix elements with N-f=2+1 dynamical Wilson quarks
Johannes Gutenberg Univ Mainz, Hebnholtz Inst Mainz, D-55099 Mainz, Germany;Univ Milano Bicocca, Dip Fis G Occhialini, Piazza Sci 3, I-20126 Milan, Italy;INFN, Sez Milano Bicocca, Piazza Sci 3, I-20126 Milan, Italy.
Johannes Gutenberg Univ Mainz, PRISMA Cluster Excellence, D-55099 Mainz, Germany;Johannes Gutenberg Univ Mainz, Inst Kernphys, D-55099 Mainz, Germany.ORCID iD: 0000-0002-3318-3566
Johannes Gutenberg Univ Mainz, Hebnholtz Inst Mainz, D-55099 Mainz, Germany;Tata Inst Fundamental Res, Homi Bhabha Rd, Mumbai 400005, Maharashtra, India.
Johannes Gutenberg Univ Mainz, Hebnholtz Inst Mainz, D-55099 Mainz, Germany;Johannes Gutenberg Univ Mainz, PRISMA Cluster Excellence, D-55099 Mainz, Germany;Johannes Gutenberg Univ Mainz, Inst Kernphys, D-55099 Mainz, Germany.
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2019 (English)In: Physical Review D: covering particles, fields, gravitation, and cosmology, ISSN 2470-0010, E-ISSN 2470-0029, Vol. 100, no 3, article id 034513Article in journal (Refereed) Published
Abstract [en]

We present results from a lattice QCD study of nucleon matrix elements at vanishing momentum transfer for local and twist-2 isovector operator insertions. Computations are performed on gauge ensembles with nonperturbatively improved N-f =2 + 1 Wilson fermions, covering four values of the lattice spacing and pion masses down to M-pi approximate to 200 MeV. Several source-sink separations (typically similar to 1.0 to similar to 1.5 fm) allow us to assess excited-state contamination. Results on individual ensembles are obtained from simultaneous two-state fits across all observables and all available source-sink separations with the energy gap as a common fit parameter. Renormalization has been performed nonperturbatively using the Rome-Southampton method for all but the finest lattice spacing for which an extrapolation has been used. Physical results are quoted in the (MS) over bar scheme at a scale of mu = 2 GeV and are obtained from a combined chiral, continuum, and finite-size extrapolation. For the nucleon isovector axial, scalar, and tensor charges we find physical values of g(A)(u-d) = 1.242(25)(stat)((+00)(-31))sys, g(S)(u-d) = 1.13(11)(stat)((+07)(-06))sys and g(T)(u-d) = 0.965 (38)(stat)((+13)(-41))sys, respectively, where individual systematic errors in each direction from the chiral, continuum, and finite-size extrapolation have been added in quadrature. Our final results for the isovector average quark momentum fraction and the isovector helicity and transversity moments are given by < x >(u-d) = 0.180(25)(stat)((+14)(-06))sys, < x >(Delta u-Delta d) = 0.221(25)(stat)((+10)(-00))sys and < x >delta u-delta d = 0.212(32)(stat)((+20)(-10))sys, respectively.

Place, publisher, year, edition, pages
AMER PHYSICAL SOC , 2019. Vol. 100, no 3, article id 034513
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Subatomic Physics Other Physics Topics
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URN: urn:nbn:se:uu:diva-398859DOI: 10.1103/PhysRevD.100.034513ISI: 000482087700001OAI: oai:DiVA.org:uu-398859DiVA, id: diva2:1377306
Available from: 2019-12-11 Created: 2019-12-11 Last updated: 2019-12-11Bibliographically approved

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