Proton Mass Decomposition from the QCD Energy Momentum Tensor

Yi Bo Yang, Jian Liang, Yu Jiang Bi, Ying Chen, Terrence Draper, Keh Fei Liu, Zhaofeng Liu

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79 Scopus citations

Abstract

We report results on the proton mass decomposition and also on related quark and glue momentum fractions. The results are based on overlap valence fermions on four ensembles of Nf=2+1 domain wall fermion configurations with three lattice spacings and three volumes, and several pion masses including the physical pion mass. With fully nonperturbative renormalization (and universal normalization on both quark and gluon), we find that the quark energy and glue field energy contribute 32(4)(4)% and 36(5)(4)% respectively in the MS (modified minimal substraction) scheme at μ=2 GeV. A quarter of the trace anomaly gives a 23(1)(1)% contribution to the proton mass based on the sum rule, given 9(2)(1)% contribution from the u, d, and s quark scalar condensates. The u, d, s, and glue momentum fractions in the MS scheme are in good agreement with global analyses at μ=2 GeV.

Original languageEnglish
Article number212001
JournalPhysical Review Letters
Volume121
Issue number21
DOIs
StatePublished - Nov 19 2018

Bibliographical note

Funding Information:
We thank the RBC and UKQCD collaborations for providing us their domain wall fermion gauge configurations. Y.Y. is supported by the US National Science Foundation under Grant No. PHY 1653405 CAREER: Constraining Parton Distribution Functions for New-Physics Searches." Y.C. and Z.L. acknowledge the support of the National Science Foundation of China under Grants No. 11575196, No. 11575197, and No. 11335001. This work is partially supported by DOE Grant No. DE-SC0013065 and by the DOE 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 Letter. 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.

Funding Information:
We thank the RBC and UKQCD collaborations for providing us their domain wall fermion gauge configurations. Y. Y. is supported by the US National Science Foundation under Grant No. PHY 1653405 “CAREER: Constraining Parton Distribution Functions for New-Physics Searches." Y. C. and Z. L. acknowledge the support of the National Science Foundation of China under Grants No. 11575196, No. 11575197, and No. 11335001. This work is partially supported by DOE Grant No. DE-SC0013065 and by the DOE 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 Letter. 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:
© 2018 authors. Published by the American Physical Society.

ASJC Scopus subject areas

  • Physics and Astronomy (all)

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