Lattice calculation of hadronic tensor of the nucleon

Liang, Jian; Liu, Keh-Fei; Yang, Yi-Bo

doi:10.1051/epjconf/201817514014

Cited by 32 publications

(38 citation statements)

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“…Three approaches to this problem are the maximum entropy method (MEM) [151], the MEM with a prior to stabilize the fit for Bayesian reconstruction (MEM-BR) [154], and the Backus-Gilbert method [156]. These three numerical approaches have been studied recently [157]. The Backus-Gilbert method yields a single broad peak in the energy spectrum from lattice data with 20 points in Euclidean time.…”

Section: B Hadron Tensor For Shallow and Deep Inelastic Scatteringmentioning

confidence: 99%

Lattice QCD and neutrino-nucleus scattering

et al. 2019

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This document is one of a series of whitepapers from the USQCD collaboration. Here, we discuss opportunities for lattice QCD in neutrino-oscillation physics, which inevitably entails nucleon and nuclear structure. In addition to discussing pertinent lattice-QCD calculations of nucleon and nuclear matrix elements, the interplay with models of nuclei is discussed. This program of lattice-QCD calculations is relevant to current and upcoming neutrino experiments, becoming increasingly important on the timescale of LBNF/DUNE and HyperK. * Editor, ask@fnal.gov † Editor, dgr@jlab.org arXiv:1904.09931v1 [hep-lat]

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Section: B Hadron Tensor For Shallow and Deep Inelastic Scatteringmentioning

confidence: 99%

Lattice QCD and neutrino-nucleus scattering

et al. 2019

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“…These alternative approaches have been explored in lattice QCD, and recent results can be found in Refs. [38,56,[61][62][63][64][65][66][67]. The new formulation and its successful implementation within lattice QCD has also led to a wider interest on phenomenological studies using models and toy theories of QCD [57,58,[68][69][70][71][72][73][74][75].…”

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Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point

et al. 2019

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We present a detailed study of the helicity-dependent and helicity-independent collinear parton distribution functions (PDFs) of the nucleon, using the quasi-PDF approach. The lattice QCD computation is performed employing twisted mass fermions with a physical value of the light quark mass. We give a systematic and in-depth account of the salient features entering in the evaluation of quasi-PDFs and their relation to the light-cone PDFs. In particular, we give details for the computation of the matrix elements, including the study of the various sources of systematic uncertainties, such as excited states contamination. In addition, we discuss the non-perturbative renormalization scheme used here and its systematics, effects of truncating the Fourier transform and different matching prescriptions. Finally, we show improved results for the PDFs and discuss future directions, challenges and prospects for evaluating precisely PDFs from lattice QCD with fully quantified uncertainties. arXiv:1902.00587v1 [hep-lat] 1 Feb 2019of the theoretical and numerical developments, see Ref.[33].On more general grounds, it is very important to realize that quasi-PDFs and light-cone PDFs have been shown to share the same infrared physics [34,35], which is the fundamental observation that allows one to relate both quantities using perturbation theory, provided that the hadron is moving with a large, although necessarily finite, momentum in a chosen spatial direction. It has also been proven that quasi-PDFs can be extracted from lattice QCD in Euclidean spacetime [35] and that they do not suffer from power-divergent mixings with lower-dimensional operators [36][37][38]. A factorization formula makes it possible to extract the PDFs from the quasi-PDFs, an operation called matching [19,20,29,31,34,[39][40][41][42][43]. In general, this procedure is based on a newly developed large-momentum effective theory (LaMET) [44], and it is renormalizable to all orders in perturbation theory [45][46][47][48]. Other approaches for a direct computation of the x-dependence of PDFs include the hadronic tensor [49][50][51], fictitious heavy quark [52], auxiliary light quark [53], good lattice cross sections [54,55] (closely related to the auxiliary light quark method), "OPE without OPE" [56] and pseudo-PDFs [57][58][59][60], where the latter can be seen as a generalization of PDFs off the light-cone. These alternative approaches have been explored in lattice QCD, and recent results can be found in Refs. [38,56,[61][62][63][64][65][66][67]. The new formulation and its successful implementation within lattice QCD has also led to a wider interest on phenomenological studies using models and toy theories of QCD [57,58,[68][69][70][71][72][73][74][75]. A detailed overview of the current status of lattice QCD calculation of PDFs and other partonic distributions can be found in the recent reviews of Refs. [33,76].The remainder of the paper is organized as follows: In Sec. II, we provide the general theoretical aspects, lattice QCD action and parameters. We di...

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“…Finally, there is a proposal that aims at direct calculation of the physical hadronic tensor from lattice QCD to extract the structure functions or PDFs. [49][50][51][52][53] For a complete review of all the proposals, see Ref. 54.…”

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Unraveling high-energy hadron structures with lattice QCD

Zhao

2018

Int. J. Mod. Phys. A

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Parton distribution functions are key quantities for us to understand the hadronic structures in high-energy scattering, but they are difficult to calculate from lattice QCD. Recent years have seen fast development of the large-momentum effective theory which allows extraction of the x-dependence of parton distribution functions from a quasiparton distribution function that can be directly calculated on lattice. The extraction is based on a factorization formula for the quasi-parton distribution function that has been derived rigorously in perturbation theory. A systematic procedure that includes renormalization, perturbative matching, and power corrections has been established to calculate parton distribution functions. Latest progress from lattice QCD has shown promising signs that it will become an effective tool for calculating parton physics.

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Lattice calculation of hadronic tensor of the nucleon

Cited by 32 publications

References 10 publications

Lattice QCD and neutrino-nucleus scattering

Lattice QCD and neutrino-nucleus scattering

Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point

Unraveling high-energy hadron structures with lattice QCD

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