Asymmetric Gluon Distributions and Hard Diffractive Electroproduction

A. V. Radyushkin

doi:10.1016/0370-2693(96)00844-1

paper

Asymmetric Gluon Distributions and Hard Diffractive Electroproduction

arXiv:hep-ph/9605431 · doi:10.1016/0370-2693(96)00844-1

Abstract

The ``asymmetric'' matrix element <p-r|G...G|p> that appears in the pQCD description of hard diffractive electroproduction does not coincide with that defining the gluon distribution function f_g(x). I outline a pQCD formalism based on a concept of the double distribution F_g(x,y), which specifies the fractions xp, yr, (1-y)r of the initial proton momentum p and the momentum transfer r, resp., carried by the gluons. For $t \equiv r^{2} = 0$ , r is proportional to p: $r = ζ p$ , and it is convenient to parameterize the matrix element <p-r|G...G|p> by an asymmetric distribution function $F_{ζ}^{g} (X)$ depending on the total fractions $X \equiv x + y ζ$ and $X - ζ = x - (1 - y) ζ$ of the initial hadron momentum p carried by the gluons.I formulate evolution equations for $F_{ζ}^{g} (X)$ , study some of their general properties and discuss the relationship between $F_{ζ}^{g} (X)$ , F_g(x,y) and f_g(x).

Definition of asymmetric gluon distribution is corrected to conform with the reduction formulas

Asymmetric Gluon Distributions and Hard Diffractive Electroproduction

Abstract

Cited by in corpus (241)