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Type: Journal article
Title: Parton distributions from nonlocal chiral SU(3) effective theory: splitting functions
Author: Salamu, Y.
Ji, C.R.
Melnitchouk, W.
Thomas, A.W.
Wang, P.
Citation: Physical Review D, 2019; 99(1):014041-1-014041-25
Publisher: American Physical Society
Issue Date: 2019
ISSN: 2470-0010
Statement of
Y. Salamu, Chueng-Ryong Ji, W. Melnitchouk, A.W. Thomas and P. Wang
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→meson + baryon splitting functions, which in general contain on-shell and off-shell contributions, in addition to δ-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.
Rights: Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.
DOI: 10.1103/PhysRevD.99.014041
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