Abstract
We study the evolution behavior of generalized parton distributions at small longitudinal momentum fraction. Particular attention is paid to the ratio of a generalized parton distribution and its forward limit, to the mixing between quarks and gluons, and to the dependence on the squared momentum transfer t.
Highlights
A characteristic property of generalized parton distributions (GPDs) is their renormalization scale dependence, described by evolution equations whose derivation led to the very discovery of these functions more than a decade ago [1]
We have studied several aspects of the evolution behavior of GPDs at small ξ
We assumed a particular form of the GPDs at a moderately low scale and numerically evolved this model ansatz to higher μ
Summary
A characteristic property of generalized parton distributions (GPDs) is their renormalization scale dependence, described by evolution equations whose derivation led to the very discovery of these functions more than a decade ago [1]. The effects of next-to-leading (NLO) and next-to-next-to-leading order (NNLO) terms in the evolution kernels have been studied [8, 15] and are known to be important, especially at small ξ in the gluon and singlet sector. This should be kept in mind as a caveat when interpreting our results, but we think that a study at LO is still of some relevance.
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