Asymmetric Gluon Distributions and Hard Diffractive Electroproduction

Details Asymmetric Gluon Distributions and Hard Diffractive Electroproduction Asymmetric Gluon Distributions and Hard Diffractive Electroproduction

1996-05-30

arxiv.org/abs/hep-ph/9605431v5

Phys.Lett.B385:333-342,1996

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/0370-2693(96)00844-1

The ``asymmetric'' matrix element 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: $r = \zeta p$, and it is convenient to parameterize the matrix element by an asymmetric distribution function ${\cal F}_{\zeta}^g (X)$ depending on the total fractions $X \equiv x+y \zeta$ and $X-\zeta = x- (1-y) \zeta$ of the initial hadron momentum p carried by the gluons.I formulate evolution equations for ${\cal F}_{\zeta}^g (X)$, study some of their general properties and discuss the relationship between ${\cal F}_{\zeta}^g (X)$, F_g(x,y) and f_g(x).

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