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Title Perturbative results of matrix elements of the axial current and their relation with the axial anomaly
Authors Ignacio Castelli, Adam Freese, Cedric Lorce, Andreas Metz, Barbara Pasquini, Simone Rodini
JLAB number JLAB-THY-24-4130
LANL number (None)
Other number DOE/OR/23177-7577
Document Type(s) (Journal Article) 
Associated with EIC: No
Supported by Jefferson Lab LDRD Funding: No
Funding Source: Nuclear Physics (NP)
Other Funding:National Science Foundation
German Science Foundation
Temple University (summer research grant)
 

Journal
Compiled for Physical Review B
Page(s) 138999
Publication Abstract: In the Standard Model of particle physics, the axial current is not conserved, due both to fermion masses and to the axial anomaly. Using perturbative quantum chromodynamics, we calculate matrix elements of the local and non-local axial current for a gluon target, clarifying their connection with the axial anomaly. In so doing, we also reconsider classic results obtained in the context of the nucleon spin sum rule as well as recent results for off-forward kinematics. An important role is played by the infrared regulator, for which we put a special emphasis on the nonzero quark mass. We highlight cancellations that take place between contributions from the axial anomaly and the quark mass, and we elaborate on the relation of those cancellations with the conservation of angular momentum.
Experiment Numbers:
Group: THEORY CENTER
Document: pdf
DOI: https://doi.org/10.1016/j.physletb.2024.138999
Accepted Manuscript: 1-s2.0-S0370269324005574-main.pdf
Supporting Documents:
Supporting Datasets: