Nucleon isovector charges and twist-2 matrix elements with 
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 dynamical Wilson quarks

Harris, Tim; Hippel, Georg von; Junnarkar, Parikshit; Meyer, Harvey B.; Ottnad, Konstantin; Wilhelm, Jonas; Wittig, Hartmut; Wrang, Linus

doi:10.1103/physrevd.100.034513

Cited by 74 publications

(81 citation statements)

References 130 publications

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“…It does not depend on mass and extrapolates to 1.04 (5) at physical mass with MS 2-GeV renormalization. This is in agreement with the value obtained for the lightest pion mass of 331.3(1.4) MeV in our earlier work [6] and also with calculations by others [40,41].…”

Section: Discussionsupporting

confidence: 94%

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Nucleon mass and isovector couplings in 2+1 -flavor dynamical domain-wall lattice QCD near physical mass

et al. 2020

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We report nucleon mass, isovector vector and axial-vector charges, and tensor and scalar couplings, calculated using two recent 2+1-flavor dynamical domain-wall fermions lattice-QCD ensembles generated jointly by the RIKEN-BNL-Columbia and UKQCD collaborations. These ensembles were generated with Iwasaki × dislocation-suppressing-determinant-ratio gauge action at inverse lattice spacing of 1.378 (7) GeV and pion mass values of 249.4(3) and 172.3(3) MeV. The nucleon mass extrapolates to a value mN = 0.950(5) GeV at physical point. The isovector vector charge renormalizes to unity in the chiral limit, narrowly constraining excited-state contamination in the calculation. The ratio of the isovector axial-vector to vector charges shows a deficit of about ten percent. The tensor coupling no longer depends on mass and extrapolates to 1.04(5) in MS 2-GeV renormalization at physical point, in a good agreement with the value obtained at the lightest mass in our previous calculations and other calculations that followed. The scalar charge, though noisier, does not show mass dependence and is in agreement with other calculations.

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Section: Discussionsupporting

confidence: 94%

“…The scalar coupling, though noisier, is in broad agreement with other later calculations [40,41]. The scalar errors are still dominated by statistical noise, but will eventually encounter the same scheme-dependent systematics in non-perturbative renormalization.…”

Section: Tensor and Scalar Couplingssupporting

confidence: 81%

Nucleon mass and isovector couplings in 2+1 -flavor dynamical domain-wall lattice QCD near physical mass

et al. 2020

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“…4. Our results agree with those from the Mainz group [20] that have also been obtained using data on a comparable number of ensembles, but all with M π > 200 MeV, which are used to perform a chiral and continuum extrapolation. The one difference is the slope c 3 of the chiral correction.…”

Section: Chiral Continuum and Infinite Volume Extrapolationsupporting

confidence: 88%

“…A more detailed discussion of these twist-2 operators and their renormalization can be found in Refs. [19,20]. In this work, we consider only isovector quantities.…”

Section: Moments and Matrix Elementsmentioning

confidence: 99%

Moments of nucleon isovector structure functions in 2+1+1 -flavor QCD

et al. 2020

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We present results on the isovector momentum fraction, hxi u−d , helicity moment, hxi Δu−Δd , and the transversity moment, hxi δu−δd , of the nucleon obtained using nine ensembles of gauge configurations generated by the MILC Collaboration using 2 þ 1 þ 1-flavors of dynamical highly improved staggered quarks. The correlation functions are calculated using the Wilson-Clover action, and the renormalization of the three operators is carried out nonperturbatively on the lattice in the RI 0-MOM scheme. The data have been collected at lattice spacings a ≈ 0.15, 0.12, 0.09, and 0.06 fm and M π ≈ 310, 220, and 135 MeV, which are used to obtain the physical values using a simultaneous chiral-continuum-finite-volume fit. The final results, in the MS scheme at 2 GeV, are hxi u−d ¼ 0.173ð14Þð07Þ, hxi Δu−Δd ¼ 0.213ð15Þð22Þ, and hxi δu−δd ¼ 0.208ð19Þð24Þ, where the first error is the overall analysis uncertainty and the second is an additional systematic uncertainty due to possible residual excited-state contributions. These results are consistent with other recent lattice calculations and phenomenological global fit values.

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“…Lattice calculations of these charges were recently reviewed by FLAG [1], and we note some calculations of them in the last few years in Refs. [2][3][4][5][6][7][8][9][10][11][12][13][14][15]. The nucleon axial charge is experimentally well determined; the latest PDG value is g A = 1.2724(23) [16].…”

Section: Introductionmentioning

confidence: 99%

Nucleon axial, scalar, and tensor charges using lattice QCD at the physical pion mass

et al. 2019

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We report on lattice QCD calculations of the nucleon isovector axial, scalar, and tensor charges. Our calculations are performed on two 2 + 1-flavor ensembles generated using a 2-HEX-smeared Wilson-clover action at the physical pion mass and lattice spacings a ≈ 0.116 and 0.093 fm. We use a wide range of source-sink separations -eight values ranging from roughly 0.4 to 1.4 fm on the coarse ensemble and three values from 0.9 to 1.5 fm on the fine ensemble -which allows us to perform an extensive study of excited-state effects using different analysis and fit strategies. To determine the renormalization factors, we use the nonperturbative Rome-Southampton approach and compare RI -MOM and RI-SMOM intermediate schemes to estimate the systematic uncertainties. Our final results are computed in the MS scheme at scale 2 GeV. The tensor and axial charges have uncertainties of roughly 4%, gT = 0.972(41) and gA = 1.265(49). The resulting scalar charge, gS = 0.927(303), has a much larger uncertainty due to a stronger dependence on the choice of intermediate renormalization scheme and on the lattice spacing.

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Nucleon isovector charges and twist-2 matrix elements with Nf=2+1 dynamical Wilson quarks

Cited by 74 publications

References 130 publications

Nucleon mass and isovector couplings in 2+1 -flavor dynamical domain-wall lattice QCD near physical mass

Nucleon mass and isovector couplings in 2+1 -flavor dynamical domain-wall lattice QCD near physical mass

Moments of nucleon isovector structure functions in 2+1+1 -flavor QCD

Nucleon axial, scalar, and tensor charges using lattice QCD at the physical pion mass

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