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Title Towards the determination of the gluon helicity distribution in the nucleon from lattice quantum chromodynamics
Authors Robert Edwards, Colin Egerer, Balint Joo, Joseph Karpie, FNU Nikhil Sridharan Karthik, Christopher Monahan, Wayne Morris, Konstantinos Orginos, Anatoly Radyushkin, David Richards, Eloy Romero Alcalde, Raza Sufian, Savvas Zafeiropoulos
JLAB number JLAB-THY-22-3663
LANL number arXiv:2207.08733
Other number DOE/OR/23177-5542
Document Type(s) (Journal Article) 
Associated with EIC: Yes
Supported by Jefferson Lab LDRD Funding: No
Funding Source: Nuclear Physics (NP)
 

Journal
Compiled for Physical Review C
Volume 106
Page(s) 094511
Refereed
Publication Abstract: We present the first exploratory lattice quantum chromodynamics (QCD) calculation of the polarized gluon Ioffe-time pseudo-distribution in the nucleon. The Ioffe-time pseudo-distribution provides a frame-independent and gauge-invariant framework to determine the gluon helicity in the nucleon from first principles. We employ a high-statistics computation using a $32^3\times 64$ lattice ensemble characterized by a $358$~MeV pion mass and a $0.094$~fm lattice spacing. We establish the pseudo-distribution approach as a feasible method to address the proton spin puzzle with successive improvements in statistical and systematic uncertainties anticipated in the future. Within the statistical precision of our data, we find a good comparison between lattice determined polarized gluon Ioffe-time distribution and the corresponding expectations from the state-of-the-art global analyses. We find a hint for a nonzero gluon spin contribution to the proton spin from the model-independent extraction of the gluon helicity pseudo-distribution over a range of Ioffe-time, $\nu\lesssim 9$.
Experiment Numbers:
Group: THEORY CENTER
Document: pdf
DOI: https://doi.org/10.1103/PhysRevD.106.094511
Accepted Manuscript: PhysRevD.106.094511.pdf
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Supporting Datasets: