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Title Parton distributions from nonlocal chiral SU(3) effective theory. I. Splitting functions
Authors Y. Salamu, Chueng Ji, Wolodymyr Melnitchouk, Anthony Thomas, P. Wang
JLAB number JLAB-THY-18-2746
LANL number arXiv:1806.07551
Other number DOE/OR/23177-4478
Document Type(s) (Journal Article) 
Associated with EIC: No
Supported by Jefferson Lab LDRD Funding: No
Funding Source: Nuclear Physics (NP)
 

Journal
Compiled for Physical Review D
Volume 99
Issue 01
Page(s) 014041
Refereed
Publication Abstract: We present a new formulation of pseudoscalar meson loop corrections to nucleon parton distributions within a nonlocal covariant chiral effective field theory, including contributions from SU(3) octet and decuplet baryons. The nonlocal Lagrangian, constrained by requirements of local gauge invariance and Lorentz-invariant ultraviolet regularization, generates additional interactions associated with gauge links. We use these to compute the full set of proton to meson + baryon splitting functions, which in general contain on-shell and off-shell contributions, in addition to $\delta$-function terms at zero momentum, along with nonlocal contributions associated with the finite size of the proton. We illustrate the shapes of the various local and nonlocal functions numerically using a simple example of a dipole regulator.
Experiment Numbers: other
Group: THEORY CENTER
Document: pdf
DOI: https://doi.org/10.1103/PhysRevD.99.014041
Accepted Manuscript: PhysRevD.99.014041.pdf
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