A modified BFKL equation with Q depedence
Jyh-Liong Lim, Hsiang-nan Li
Abstract
We propose a modified Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation for the summation of large (1/x), x being the Bjorken variable, which contains an extra dependence on momentum transfer Q compared to the conventional BFKL equation. This Q dependence comes from the phase space constraint for soft real gluon emissions in the derivation of the BFKL kernel. The modified equation gives a slower rise of the gluon distribution function with 1/x for smaller Q, such that the predictions for the structure functions F2,L(x,Q2) involved in deep inelastic scattering match the HERA data. These results are similar to those obtained from the Ciafaloni-Catani-Fiorani-Marchesini equation, which embodies both the Q and (1/x) summations. The reason that the conventional BFKL equation can not be applied to the low Q (soft pomeron dominant) region is supplied.
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