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Title: Double distributions and evolution equations

Abstract

Applications of perturbative QCD to deeply virtual Compton scattering and hard exclusive meson electroproduction processes require a generalization of usual parton distributions for the case when long-distance information is accumulated in nonforward matrix elements < p{prime} {vert_bar}O(0,z){vert_bar}p > of quark and gluon light-cone operators. In their previous papers the authors used two types of nonperturbative functions parameterizing such matrix elements: double distributions F(x,y;t) and nonforward distribution functions F{sub {zeta}}(X;t). Here they discuss in more detail the double distributions (DD's) and evolution equations which they satisfy. They propose simple models for F(x,y;t=0) DD's with correct spectral and symmetry properties which also satisfy the reduction relations connecting them to the usual parton densities f(x). In this way, they obtain self-consistent models for the {zeta}-dependence of nonforward distributions. They show that, for small {zeta}, one can easily obtain nonforward distributions (in the X > {zeta} region) from the parton densities: F{sub {zeta}} (X;t=0) {approx} f(X{minus}{zeta}/2).

Authors:
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Energy Research (ER) (US)
OSTI Identifier:
755926
Report Number(s):
DOE/ER/40150-1500; JLAB-THY-98-16; hep-ph/9805342
TRN: US0002603
DOE Contract Number:  
AC05-84ER40150
Resource Type:
Journal Article
Journal Name:
Phys.Rev. D59 (1999) 014030
Additional Journal Information:
Other Information: Submitted to Phys.Rev. D59 (1999) 014030; PBD: 1 May 1998
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM CHROMODYNAMICS; PERTURBATION THEORY; COMPTON EFFECT; ELECTROPRODUCTION; MATRIX ELEMENTS; MESONS; PARTONS; FUNCTIONS; SELF-CONSISTENT FIELD

Citation Formats

Radyushkin, A V. Double distributions and evolution equations. United States: N. p., 1998. Web. doi:10.1103/PhysRevD.59.014030.
Radyushkin, A V. Double distributions and evolution equations. United States. https://doi.org/10.1103/PhysRevD.59.014030
Radyushkin, A V. 1998. "Double distributions and evolution equations". United States. https://doi.org/10.1103/PhysRevD.59.014030. https://www.osti.gov/servlets/purl/755926.
@article{osti_755926,
title = {Double distributions and evolution equations},
author = {Radyushkin, A V},
abstractNote = {Applications of perturbative QCD to deeply virtual Compton scattering and hard exclusive meson electroproduction processes require a generalization of usual parton distributions for the case when long-distance information is accumulated in nonforward matrix elements < p{prime} {vert_bar}O(0,z){vert_bar}p > of quark and gluon light-cone operators. In their previous papers the authors used two types of nonperturbative functions parameterizing such matrix elements: double distributions F(x,y;t) and nonforward distribution functions F{sub {zeta}}(X;t). Here they discuss in more detail the double distributions (DD's) and evolution equations which they satisfy. They propose simple models for F(x,y;t=0) DD's with correct spectral and symmetry properties which also satisfy the reduction relations connecting them to the usual parton densities f(x). In this way, they obtain self-consistent models for the {zeta}-dependence of nonforward distributions. They show that, for small {zeta}, one can easily obtain nonforward distributions (in the X > {zeta} region) from the parton densities: F{sub {zeta}} (X;t=0) {approx} f(X{minus}{zeta}/2).},
doi = {10.1103/PhysRevD.59.014030},
url = {https://www.osti.gov/biblio/755926}, journal = {Phys.Rev. D59 (1999) 014030},
number = ,
volume = ,
place = {United States},
year = {Fri May 01 00:00:00 EDT 1998},
month = {Fri May 01 00:00:00 EDT 1998}
}