Parton distribution function from the hadronic tensor on the lattice

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The path-integral formulation of the hadronic tensor Wmn 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 mome.

Original languageEnglish
Article number115
JournalProceedings of Science
StatePublished - 2015
Event33rd International Symposium on Lattice Field Theory, LATTICE 2015 - Kobe, Japan
Duration: Jul 14 2015Jul 18 2015

Bibliographical note

Funding Information:
This work is partially supported by DOE grant no. DE-SC0013065.

ASJC Scopus subject areas

  • General


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