Ratio of strange to u/d momentum fraction in disconnected insertions

Jian Liang; Mingyang Sun; Yi Bo Yang; Terrence Draper; Keh Fei Liu

doi:10.1103/PhysRevD.102.034514

Ratio of strange to u/d momentum fraction in disconnected insertions

Jian Liang, Mingyang Sun, Yi Bo Yang, Terrence Draper, Keh Fei Liu

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6 Scopus citations

Abstract

The ratio of the strange quark momentum fraction aŸxaŸs+s to that of light quark u or d in disconnected insertions (DI) is calculated on the lattice with overlap fermions on four domain wall fermion ensembles. These ensembles cover three lattice spacings, three volumes and several pion masses including the physical one, from which a global fitting is carried out. A complete nonperturbative renormalization and the mixing between the quark and glue operators are taken into account. We find the ratio to be aŸxaŸs+s/aŸxaŸu+u(DI)=0.795(79)(77) at u=2 GeV in the MS scheme. This ratio can be used as a constraint to better determine the strange parton distribution especially in the small x region in the global fittings of PDFs when the connected and disconnected sea are fitted and evolved separately, demonstrating a new way that connects lattice calculations with global analyses.

Original language	English
Article number	034514
Journal	Physical Review D
Volume	102
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevD.102.034514
State	Published - Aug 15 2020

Bibliographical note

Funding Information:
We thank the RBC and UKQCD Collaborations for providing their DWF gauge configurations. This work is supported in part by the U.S. DOE Grant No. DE-SC0013065 and DOE Grant No. DE-AC05-06OR23177 which is within the framework of the TMD Topical Collaboration. This research used resources of the Oak Ridge Leadership Computing Facility at the Oak Ridge National Laboratory, which is supported by the Office of Science of the U.S. Department of Energy under Contract No. DE-AC05-00OR22725. This work used Stampede time under the Extreme Science and Engineering Discovery Environment (XSEDE), which is supported by National Science Foundation Grant No. ACI-1053575. We also thank the National Energy Research Scientific Computing Center (NERSC) for providing HPC resources that have contributed to the research results reported within this paper. We acknowledge the facilities of the USQCD Collaboration used for this research in part, which are funded by the Office of Science of the U.S. Department of Energy.

Publisher Copyright:
© 2020 authors. Published by the American Physical Society.

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1103/PhysRevD.102.034514

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title = "Ratio of strange to u/d momentum fraction in disconnected insertions",

abstract = "The ratio of the strange quark momentum fraction aŸxaŸs+s to that of light quark u or d in disconnected insertions (DI) is calculated on the lattice with overlap fermions on four domain wall fermion ensembles. These ensembles cover three lattice spacings, three volumes and several pion masses including the physical one, from which a global fitting is carried out. A complete nonperturbative renormalization and the mixing between the quark and glue operators are taken into account. We find the ratio to be aŸxaŸs+s/aŸxaŸu+u(DI)=0.795(79)(77) at u=2 GeV in the MS scheme. This ratio can be used as a constraint to better determine the strange parton distribution especially in the small x region in the global fittings of PDFs when the connected and disconnected sea are fitted and evolved separately, demonstrating a new way that connects lattice calculations with global analyses.",

author = "Jian Liang and Mingyang Sun and Yang, {Yi Bo} and Terrence Draper and Liu, {Keh Fei}",

note = "Funding Information: We thank the RBC and UKQCD Collaborations for providing their DWF gauge configurations. This work is supported in part by the U.S. DOE Grant No. DE-SC0013065 and DOE Grant No. DE-AC05-06OR23177 which is within the framework of the TMD Topical Collaboration. This research used resources of the Oak Ridge Leadership Computing Facility at the Oak Ridge National Laboratory, which is supported by the Office of Science of the U.S. Department of Energy under Contract No. DE-AC05-00OR22725. This work used Stampede time under the Extreme Science and Engineering Discovery Environment (XSEDE), which is supported by National Science Foundation Grant No. ACI-1053575. We also thank the National Energy Research Scientific Computing Center (NERSC) for providing HPC resources that have contributed to the research results reported within this paper. We acknowledge the facilities of the USQCD Collaboration used for this research in part, which are funded by the Office of Science of the U.S. Department of Energy. Publisher Copyright: {\textcopyright} 2020 authors. Published by the American Physical Society.",

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N1 - Funding Information: We thank the RBC and UKQCD Collaborations for providing their DWF gauge configurations. This work is supported in part by the U.S. DOE Grant No. DE-SC0013065 and DOE Grant No. DE-AC05-06OR23177 which is within the framework of the TMD Topical Collaboration. This research used resources of the Oak Ridge Leadership Computing Facility at the Oak Ridge National Laboratory, which is supported by the Office of Science of the U.S. Department of Energy under Contract No. DE-AC05-00OR22725. This work used Stampede time under the Extreme Science and Engineering Discovery Environment (XSEDE), which is supported by National Science Foundation Grant No. ACI-1053575. We also thank the National Energy Research Scientific Computing Center (NERSC) for providing HPC resources that have contributed to the research results reported within this paper. We acknowledge the facilities of the USQCD Collaboration used for this research in part, which are funded by the Office of Science of the U.S. Department of Energy. Publisher Copyright: © 2020 authors. Published by the American Physical Society.

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N2 - The ratio of the strange quark momentum fraction aŸxaŸs+s to that of light quark u or d in disconnected insertions (DI) is calculated on the lattice with overlap fermions on four domain wall fermion ensembles. These ensembles cover three lattice spacings, three volumes and several pion masses including the physical one, from which a global fitting is carried out. A complete nonperturbative renormalization and the mixing between the quark and glue operators are taken into account. We find the ratio to be aŸxaŸs+s/aŸxaŸu+u(DI)=0.795(79)(77) at u=2 GeV in the MS scheme. This ratio can be used as a constraint to better determine the strange parton distribution especially in the small x region in the global fittings of PDFs when the connected and disconnected sea are fitted and evolved separately, demonstrating a new way that connects lattice calculations with global analyses.

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Ratio of strange to u/d momentum fraction in disconnected insertions

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