Complete flavor decomposition of the spin and momentum fraction of the proton using lattice QCD simulations at physical pion mass
Abstract
We evaluate the gluon and quark contributions to the spin of the proton using an ensemble of gauge configurations generated at physical pion mass. We compute all valence and sea quark contributions to high accuracy. We perform a nonperturbative renormalization for both quark and gluon matrix elements. We find that the contribution of the up, down, strange, and charm quarks to the proton intrinsic spin is $$\frac{1}{2}Σ_{q=u,d,s,c} ΔΣ^{q+}$$ = 0.191 (15) and to the total spin $$Σ_{q=u,d,s,c}J^{q+}$$ = 0.285 (45)(10). The gluon contribution to the spin is $J^g$ = 0.187(46)(10) yielding $$J = J^{q+} J^g$$ = 0.473 (71)(14) confirming the spin sum. The momentum fraction carried by quarks in the proton is found to be 0.618(60) and by gluons 0.427(92), the sum of which gives 1.045(118) confirming the momentum sum rule. All scale and scheme dependent quantities are given in the $$\overline{\text{MS}}$$ scheme at 2 GeV.
- Publication Date:
- Research Org.:
- Temple Univ., Philadelphia, PA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); Cyprus Research Promotion Foundation; European Commission (EC); National Science Foundation (NSF); US Army Research Laboratory (USARL)
- Contributing Org.:
- Extended Twisted Mass Collaboration
- OSTI Identifier:
- 1631180
- Alternate Identifier(s):
- OSTI ID: 1803974
- Grant/Contract Number:
- SC0020405; POST-DOC/0718/0100; TG-PHY170022; 1625061; W911NF-16-2-0189
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 101 Journal Issue: 9; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics
Citation Formats
Alexandrou, C., Bacchio, S., Constantinou, M., Finkenrath, J., Hadjiyiannakou, K., Jansen, K., Koutsou, G., Panagopoulos, H., Spanoudes, G., and Extended Twisted Mass Collaboration. Complete flavor decomposition of the spin and momentum fraction of the proton using lattice QCD simulations at physical pion mass. United States: N. p., 2020.
Web. doi:10.1103/PhysRevD.101.094513.
Alexandrou, C., Bacchio, S., Constantinou, M., Finkenrath, J., Hadjiyiannakou, K., Jansen, K., Koutsou, G., Panagopoulos, H., Spanoudes, G., & Extended Twisted Mass Collaboration. Complete flavor decomposition of the spin and momentum fraction of the proton using lattice QCD simulations at physical pion mass. United States. https://doi.org/10.1103/PhysRevD.101.094513
Alexandrou, C., Bacchio, S., Constantinou, M., Finkenrath, J., Hadjiyiannakou, K., Jansen, K., Koutsou, G., Panagopoulos, H., Spanoudes, G., and Extended Twisted Mass Collaboration. Thu .
"Complete flavor decomposition of the spin and momentum fraction of the proton using lattice QCD simulations at physical pion mass". United States. https://doi.org/10.1103/PhysRevD.101.094513.
@article{osti_1631180,
title = {Complete flavor decomposition of the spin and momentum fraction of the proton using lattice QCD simulations at physical pion mass},
author = {Alexandrou, C. and Bacchio, S. and Constantinou, M. and Finkenrath, J. and Hadjiyiannakou, K. and Jansen, K. and Koutsou, G. and Panagopoulos, H. and Spanoudes, G. and Extended Twisted Mass Collaboration},
abstractNote = {We evaluate the gluon and quark contributions to the spin of the proton using an ensemble of gauge configurations generated at physical pion mass. We compute all valence and sea quark contributions to high accuracy. We perform a nonperturbative renormalization for both quark and gluon matrix elements. We find that the contribution of the up, down, strange, and charm quarks to the proton intrinsic spin is $\frac{1}{2}Σ_{q=u,d,s,c} ΔΣ^{q+}$ = 0.191 (15) and to the total spin $Σ_{q=u,d,s,c}J^{q+}$ = 0.285 (45)(10). The gluon contribution to the spin is $J^g$ = 0.187(46)(10) yielding $J = J^{q+} J^g$ = 0.473 (71)(14) confirming the spin sum. The momentum fraction carried by quarks in the proton is found to be 0.618(60) and by gluons 0.427(92), the sum of which gives 1.045(118) confirming the momentum sum rule. All scale and scheme dependent quantities are given in the $\overline{\text{MS}}$ scheme at 2 GeV.},
doi = {10.1103/PhysRevD.101.094513},
journal = {Physical Review D},
number = 9,
volume = 101,
place = {United States},
year = {2020},
month = {5}
}
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