Energy dependence of nucleon-nucleon potentials

Aoki, Sinya

doi:10.22323/1.066.0152

Cited by 4 publications

(3 citation statements)

References 9 publications

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“…Such results, [4,5,6,7,8] have proved important in lattice analyses. For example, see [9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30] for a non-exhaustive representation. While this has provided a useful start for such forward matrix element analyses, it is slightly restrictive.…”

mentioning

confidence: 99%

Bilinear quark operator renormalization at generalized symmetric point

Bell

Gracey

2016

Phys. Rev. D

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We compute Green's functions with a bilinear quark operator inserted at non-zero momentum for a generalized momentum configuration to two loops. These are required to assist lattice gauge theory measurements of the same quantity in matching to the high energy behaviour. The flavour non-singlet operators considered are the scalar, vector and tensor currents as well as the second moment of the twist-2 Wilson operator used in deep inelastic scattering for the measurement of nucleon structure functions.Comment: 19 latex pages, 4 figures, anc directory contains electronic version of amplitude

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mentioning

confidence: 99%

Bilinear quark operator renormalization at generalized symmetric point

Bell

Gracey

2016

Phys. Rev. D

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“…There are the other two sources as follows. One stems from lattice discretization errors at higher 𝜇 0 , while another is originated from the nonperturbative effect that becomes relevant at lower 𝜇 0 [10][11][12]. The latter is not so serious if the spatial volume is not so large, because the lower momentums are not accessible in the smaller volume.…”

Section: Type Of Operatormentioning

confidence: 99%

The lower moments of nucleon structure functions in lattice QCD with physical quark masses

Ryutaro¹,

Aoki²,

Ishikawa³

et al. 2021

Preprint

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We present results for the nucleon structure functions and form factors obtained from 2+1 flavor lattice QCD with physical light quark masses (𝑚 𝜋 = 135 MeV) in a large spatial extent of about 10 fm. Our calculations are performed with the PACS10 gauge configurations generated by the PACS Collaboration with the six stout-smeared O (𝑎) improved Wilson-clover quark action and Iwasaki gauge action at 𝛽 = 1.82 and 2.00 corresponding to lattice spacings of 0.085 fm and 0.064 fm respectively. The lower moments of structure functions, 𝑥 𝑢−𝑑 and 𝑥 Δ𝑢−Δ𝑑 given by the twist-2 operators being properly renormalized, are evaluated in the MS scheme at the renormalization scale of 2 GeV only at 𝛽 = 1.82, since the renormalization factors at 𝛽 = 2.00have not yet determined nonperturbatively in the RI/MOM scheme. Instead, at two lattice spacings, we evaluate appropriate ratios of 𝑔 𝐴 /𝑔 𝑉 and 𝑥 𝑢−𝑑 / 𝑥 Δ𝑢−Δ𝑑 , which are not renormalized in the continuum limit. These quantities thus can be directly compared with the experimental data without the renormalization.

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“…The advantages and disadvantages of this scheme are reviewed in Ref. [6]. We ultimately plan to use it, but so far have only used this method for bilinear operators [7].…”

Section: One-loop Matchingmentioning

confidence: 99%