Parton Distribution Function from the Hadronic Tensor on the Lattice

Abstract

The path-integral formulation of the hadronic tensor W_{μν} of deep inelastic scattering is reviewed. It is shown that there are 3 gauge invariant and topologically distinct contributions. The separation of the connected sea partons from those of the disconnected sea can be achieved with a combination of the global fit of the parton distribution function (PDF), the semi-inclusive DIS data on the strange PDF and the lattice calculation of the ratio of the strange to $u/d$ momentum fraction in the disconnected insertion. We shall discuss numerical issues associated with lattice calculation of the hadronic tensor involving a four-point function, such as large hadron momenta and improved maximum entropy method to obtain the spectral density from the hadronic tensor in Euclidean time. We also draw a comparison between the large momentum approach to the parton distribution function (PDF) and the hadronic tensor approach.

7 pages, 2 figures

References in corpus (4)

• New parton distributions for collider physics
• A Lattice Calculation of Parton Distributions
• Measurement of Parton Distributions of Strange Quarks in the Nucleon from Charged-Kaon Production in Deep-Inelastic Scattering on the Deuteron
• The moment $⟨x{⟩}_{u-d}$ of the nucleon from $N_f=2$ lattice QCD down to nearly physical quark masses

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• Ratio of strange to $u/d$ momentum fraction in disconnected insertions
• Intrinsic light and strange quark--antiquark pairs in the proton and nonperturbative strangeness suppression