Parton Distribution Function from Hadronic Tensor

Liu, Keh-Fei

doi:10.22323/1.251.0115

Cited by 25 publications

(27 citation statements)

References 37 publications

(54 reference statements)

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“…[74], prospects for extracting the hadronic tensor by solving the inverse problem on a Euclidean four-point function are discussed and tested in Refs. [77][78][79]. In contrast to Ref.…”

Section: Introductionmentioning

confidence: 78%

Scattering amplitudes from finite-volume spectral functions

Bulava

Hansen

2019

Phys. Rev. D

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A novel proposal is outlined to determine scattering amplitudes from finite-volume spectral functions. The method requires extracting smeared spectral functions from finite-volume Euclidean correlation functions, with a particular complex smearing kernel of width which implements the standard i -prescription. In the L → ∞ limit these smeared spectral functions are therefore equivalent to Minkowskian correlators with a specific time ordering to which a modified LSZ reduction formalism can be applied. The approach is presented for general m → n scattering amplitudes (above arbitrary inelastic thresholds) for a single-species real scalar field, although generalization to arbitrary spins and multiple coupled channels is likely straightforward. Processes mediated by the single insertion of an external current are also considered. Numerical determination of the finitevolume smeared spectral function is discussed briefly and the interplay between the finite volume, Euclidean signature, and time-ordered i -prescription is illustrated perturbatively in a toy example.1 See recent proceedings of the yearly lattice conference for reviews on the current state-of-the-art for lattice QCD simulations [70].Furthermore, several novel algorithms [71-73] potentially enable significantly larger volumes than used at present. 2 The normalization of the unsmeared spectral function differs from the one used in Ref. [74] but is more appropriate for the smearing kernels considered in this work. In particular, for the complex kernels we introduce below the real part will continue to satisfy Eq. 3.Consider the endcap function defined in Eq. 5. We begin by reducing the rightmost field to isolate a two-particle in-state on the right endcap. Insert a complete set of two-particle in-states and examine the asymptotic contribution

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“…[74], prospects for extracting the hadronic tensor by solving the inverse problem on a Euclidean four-point function are discussed and tested in Refs. [77][78][79]. In contrast to Ref.…”

Section: Introductionmentioning

confidence: 78%

Scattering amplitudes from finite-volume spectral functions

Bulava

Hansen

2019

Phys. Rev. D

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“…The Euclidean hadronic tensor [149][150][151][152][153][154][155][156] can be decomposed in terms of structure functions that are related to their Minkowski counterparts through a Laplace transform. Thus, to obtain the desired structure functions, an inverse Laplace transform is needed, an ill-posed 6.…”

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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“…Major progress has been made in understanding the complexity of ultraviolet (UV) divergences of quasi-PDFs [18][19][20][21][22][23][24][25][26][27][28]. Meanwhile, various different methods have been introduced to study hadron structures using LQCD cal-culations, including the pseudo-PDFs approach [29] and the "OPE without OPE" approach [30] for calculating hadron structure functions [31][32][33]. For light-cone distribution amplitudes, which are much simpler than PDFs, a coordinate-space method was also employed [34][35][36].…”

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confidence: 99%

Exploring Partonic Structure of Hadrons Using ab initio Lattice QCD Calculations

2018

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Following our previous proposal, we construct a class of good "lattice cross sections" (LCSs), from which we can study the partonic structure of hadrons from ab initio lattice QCD calculations. These good LCSs, on the one hand, can be calculated directly in lattice QCD, and on the other hand, can be factorized into parton distribution functions (PDFs) with calculable coefficients, in the same way as QCD factorization for factorizable hadronic cross sections. PDFs could be extracted from QCD global analysis of the lattice QCD generated data of LCSs. We also show that the proposed functions for lattice QCD calculation of PDFs in the literature are special cases of these good LCSs.

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Parton Distribution Function from Hadronic Tensor

Cited by 25 publications

References 37 publications

Scattering amplitudes from finite-volume spectral functions

Scattering amplitudes from finite-volume spectral functions

Lattice QCD and neutrino-nucleus scattering

Exploring Partonic Structure of Hadrons Using ab initio Lattice QCD Calculations

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