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 configuration generated at physical pion mass. We compute all valence and sea quark contributions to high accuracy. We perform a non-perturbative 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 $\frac{1}{2}{\sum }_{q=u,d,s,c}\Delta {\Sigma }^{q^{+}}=0.191(15)$ and to the total spin ${\sum }_{q=u,d,s,c}{J}^{q^{+}}=0.285(45)$. The gluon contribution to the spin is $J^g=0.187(46)$ yielding $J=J^q+J^g=0.473(71)$ 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 $\overline{\mathrm{MS}}$ scheme at 2 GeV.

References in corpus (17)

• Parton distributions in the LHC era: MMHT 2014 PDFs
• Extraction of Spin-Dependent Parton Densities and Their Uncertainties
• A first unbiased global determination of polarized PDFs and their uncertainties
• Global Analysis of Helicity Parton Densities and Their Uncertainties
• Reply to the Comment on "Spin and orbital angular momentum in gauge theories: Nucleon spin structure and multipole radiation revisited" [PRL 100:232002 (2008)]
• Spin and orbital angular momentum in gauge theories: Nucleon spin structure and multipole radiation revisited
• QCD Analysis of the Polarized World Data
• Nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• The nucleon spin and momentum decomposition using lattice QCD simulations
• The nucleon electromagnetic form factors from Lattice QCD
• Glue spin and helicity in proton from lattice QCD
• Adaptive Aggregation-based Domain Decomposition Multigrid for Twisted Mass Fermions
• Moments of nucleon generalized parton distributions from lattice QCD
• Renormalization constants for 2-twist operators in twisted mass QCD
• Renormalization of local quark-bilinear operators for Nf=3 flavors of SLiNC fermions
• Singlet vs Nonsinglet Perturbative Renormalization of Fermion Bilinears
• Nucleon strangeness polarization from $\Lambda /\bar{\Lambda }$ hyperon production in polarized proton-proton collision at RHIC

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