Parton distributions from nonlocal chiral SU(3) effective theory: Splitting functions
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. Here, we illustrate the shapes of the various local and nonlocal functions numerically using a simple example of a dipole regulator.
- Authors:
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1492747
- Alternate Identifier(s):
- OSTI ID: 1493162
- Report Number(s):
- JLAB-THY-18-2746; DOE/OR/-23177-4478; arXiv:1806.07551; ADP-18-17-T1065
Journal ID: ISSN 2470-0010; PRVDAQ; 014041
- Grant/Contract Number:
- AC05-06OR23177; FG02-03ER41260; 11475186; 11621131001; CE110001104; DP151103101
- Resource Type:
- Published Article
- Journal Name:
- Physical Review. D.
- Additional Journal Information:
- Journal Name: Physical Review. D. Journal Volume: 99 Journal Issue: 1; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Salamu, Y., Ji, Chueng-Ryong, Melnitchouk, W., Thomas, A. W., and Wang, P. Parton distributions from nonlocal chiral SU(3) effective theory: Splitting functions. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.99.014041.
Salamu, Y., Ji, Chueng-Ryong, Melnitchouk, W., Thomas, A. W., & Wang, P. Parton distributions from nonlocal chiral SU(3) effective theory: Splitting functions. United States. https://doi.org/10.1103/PhysRevD.99.014041
Salamu, Y., Ji, Chueng-Ryong, Melnitchouk, W., Thomas, A. W., and Wang, P. Tue .
"Parton distributions from nonlocal chiral SU(3) effective theory: Splitting functions". United States. https://doi.org/10.1103/PhysRevD.99.014041.
@article{osti_1492747,
title = {Parton distributions from nonlocal chiral SU(3) effective theory: Splitting functions},
author = {Salamu, Y. and Ji, Chueng-Ryong and Melnitchouk, W. and Thomas, A. W. and Wang, P.},
abstractNote = {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. Here, we illustrate the shapes of the various local and nonlocal functions numerically using a simple example of a dipole regulator.},
doi = {10.1103/PhysRevD.99.014041},
journal = {Physical Review. D.},
number = 1,
volume = 99,
place = {United States},
year = {Tue Jan 29 00:00:00 EST 2019},
month = {Tue Jan 29 00:00:00 EST 2019}
}
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https://doi.org/10.1103/PhysRevD.99.014041
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Cited by: 19 works
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Figures / Tables:
TABLE I: Coupling constants CBmore », CT$\phi$ and C$\phi$$\phi$† for the pB$\phi$, pT$\phi$ and pp$\phi$$\phi$ † interactions, respectively, for the various allowed flavor channels.
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