The resummation approach to evolution equations
Abstract
We derive the evolution equations of parton distribution functions appropriate in different kinematic regions in a unified and simple way using the resummation technique. They include the Gribov-Lipatov-Altarelli-Parisi equation for large momentum transfer Q, the Balitskii-Fadin-Kuraev-Lipatov equation for a small Bjorken variable x, and the Ciafaloni-Catani-Fiorani-Marchesini equation which unifies the above two equations. We propose a modified Balitskii-Fadin-Kuraev-Lipatov equation from the view point of the resummation. This modified version possesses an intrinsic Q dependence and its predictions for the structure function F2(x,Q2) are consistent with the HERA data.
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