Parton distribution function from the hadronic tensor on the lattice

Keh Fei Liu

Parton distribution function from the hadronic tensor on the lattice

Keh Fei Liu

Research output: Contribution to journal › Conference article › peer-review

2 Scopus citations

Abstract

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 language	English
Article number	115
Journal	Proceedings of Science
Volume	14-18-July-2015
State	Published - 2015
Event	33rd International Symposium on Lattice Field Theory, LATTICE 2015 - Kobe, Japan Duration: Jul 14 2015 → Jul 18 2015

Bibliographical note

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

Funding

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

Funders	Funder number
Michigan State University-U.S. Department of Energy (MSU-DOE) Plant Research Laboratory	DE-SC0013065

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Cite this

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title = "Parton distribution function from the hadronic tensor on the lattice",

abstract = "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.",

author = "Liu, \{Keh Fei\}",

note = "Funding Information: This work is partially supported by DOE grant no. DE-SC0013065.; 33rd International Symposium on Lattice Field Theory, LATTICE 2015 ; Conference date: 14-07-2015 Through 18-07-2015",

year = "2015",

language = "English",

volume = "14-18-July-2015",

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TY - JOUR

T1 - Parton distribution function from the hadronic tensor on the lattice

AU - Liu, Keh Fei

N1 - Funding Information: This work is partially supported by DOE grant no. DE-SC0013065.

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84988556851

UR - https://www.scopus.com/pages/publications/84988556851#tab=citedBy

M3 - Conference article

AN - SCOPUS:84988556851

VL - 14-18-July-2015

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 115

T2 - 33rd International Symposium on Lattice Field Theory, LATTICE 2015

Y2 - 14 July 2015 through 18 July 2015

ER -

Parton distribution function from the hadronic tensor on the lattice

Abstract

Bibliographical note

Funding

ASJC Scopus subject areas

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