Master integrals for two-loop QCD corrections to quark quasi PDFs

Chen, Long-Bin; Wang, Wei; Zhu, Ruilin

doi:10.1007/jhep10(2020)079

Cited by 17 publications

(3 citation statements)

References 67 publications

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“…[30,[46][47][48][49][50][51][52]). Recently, the computation of the kernel C was extended to two loops [52][53][54][55]. In this study, we employ the kernel in the MMS-scheme which is known at one-loop level [41].…”

Section: B Non-perturbative Renormalizationmentioning

confidence: 99%

Flavor decomposition of the nucleon unpolarized, helicity, and transversity parton distribution functions from lattice QCD simulations

et al. 2021

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We present results on the quark unpolarized, helicity and transversity parton distributions functions of the nucleon. We use the quasi-parton distribution approach within the lattice QCD framework and perform the computation using an ensemble of twisted mass fermions with the strange and charm quark masses tuned to approximately their physical values and light quark masses giving pion mass of 260 MeV. We use hierarchical probing to evaluate the disconnected quark loops. We discuss identification of ground state dominance, the Fourier transform procedure and convergence with the momentum boost. We find non-zero results for the disconnected isoscalar and strange quark distributions. The determination of the quark parton distribution and in particular the strange quark contributions that are poorly known provide valuable input to the structure of the nucleon.

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Section: B Non-perturbative Renormalizationmentioning

confidence: 99%

Flavor decomposition of the nucleon unpolarized, helicity, and transversity parton distribution functions from lattice QCD simulations

et al. 2021

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“…As such, we only know the NLO matching kernel for transversity PDF at this point, and therefore, we do not have a direct way to estimate what the corrections from higher-order terms in the perturbative series would be. This is unlike the unpolarized PDF case, where there are recent results on the two-loop matching [103][104][105], as well as suggestions to estimate the higher-loop uncertainties [106,107]. Instead, here we tried to estimate the perturbative uncertainty in a simpler manner through the sensitivity of the results to the value of α s used in the NLO coefficients in Eq.…”

Section: Reconstruction Of Transversity Pdf With Reduced Model-depend...mentioning

confidence: 99%

The transversity parton distribution function of the nucleon using the pseudo-distribution approach

Egerer,

Kallidonis,

Karpie

et al. 2021

Preprint

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We present a determination of the non-singlet transversity parton distribution function (PDF) of the nucleon, normalized with respect to the tensor charge at µ 2 = 2 GeV 2 from lattice quantum chromodynamics. We apply the pseudo-distribution approach, using a gauge ensemble with a lattice spacing of 0.094 fm and the light quark mass tuned to a pion mass of 358 MeV. We extract the transversity PDF from the analysis of the short-distance behavior of the Ioffe-time pseudodistribution using the leading-twist next-to-leading order (NLO) matching coefficients calculated for transversity. We reconstruct the x-dependence of the transversity PDF through an expansion in a basis of Jacobi polynomials in order to reduce the PDF ansatz dependence. Within the limitations imposed by a heavier-than-physical pion mass and a fixed lattice spacing, we present a comparison of our estimate for the valence transversity PDF with the recent global fit results based on single transverse spin asymmetry. We find the intrinsic nucleon sea to be isospin symmetric with respect to transversity.

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“…There have been previous works to find ways to take into account the residual perturbative corrections and consider the question of whether the lattice results have perturbatively converged i.e., whether C n (z 2 ) is perturbatively convergent at all potential values of z that are used in a typical lattice analysis. There is an ongoing program to find higher loop corrections to C n , with the state-of-the-art result at next-to-next-to-leading order (NNLO) published in [44][45][46]. In a recent paper [47], the residual effect of higher-loops partially seen via resumming next-to-leading logarithms and threshold resummation was investigated in detail, wherein visible effects of resummation were seen in typical values of subfermi distances z.…”

Section: Introductionmentioning

confidence: 99%

Bayesian-Wilson coefficients in lattice QCD computations of valence PDFs and GPDs

Karthik,

Sufian

2021

Preprint

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We propose an analysis method for the leading-twist operator product expansion based lattice QCD determinations of the valence parton distribution function (PDF). In the first step, we determine the confidence-intervals of the leading-twist MS Wilson coefficients, Cn(µ 2 z 2 ), of the equal-time bilocal quark bilinear, given the lattice QCD matrix element of Ioffe-time distribution for a particular hadron H as well as the prior knowledge of the valence PDF, f (x, µ) of the hadron H determined via global fit from the experimental data. In the next step, we apply the numerically estimated Cn in the lattice QCD determinations of the valence PDFs of other hadrons, and for the zero-skewness generalized parton distribution (GPD) of the same hadron H at non-zero momentum transfers. Our proposal still assumes the dominance of leading-twist terms, but it offers a pragmatic alternative to the usage of perturbative Wilson coefficients and their associated higher-loop uncertainties such as the effect of all-order logarithms at larger sub-fermi quark-antiquark separations z.

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Master integrals for two-loop QCD corrections to quark quasi PDFs

Cited by 17 publications

References 67 publications

Flavor decomposition of the nucleon unpolarized, helicity, and transversity parton distribution functions from lattice QCD simulations

Flavor decomposition of the nucleon unpolarized, helicity, and transversity parton distribution functions from lattice QCD simulations

The transversity parton distribution function of the nucleon using the pseudo-distribution approach

Bayesian-Wilson coefficients in lattice QCD computations of valence PDFs and GPDs

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