An analytic solution of the BFKL equation with momentum cutoffs

M. F. McDermott, J. R. Forshaw, G. G. Ross

    Research output: Contribution to journalArticlepeer-review


    We outline a general method for obtaining the solution to the (t = 0) BFKL equation in the presence of transverse momentum cutoffs. A lower cutoff allows one to avoid integration over nonperturbative momenta and an upper one is needed from energy-momentum conservation. Our method allows for the inclusion of an arbitrary number of poles in the kernel and is applicable to any input distribution. Taking Mellin transforms, we discuss the effect of introducing cutoffs by considering the singularity structure in the transform space. We present an improved calculation of the small-x slope of the gluon density.
    Original languageEnglish
    Pages (from-to)189-196
    Number of pages7
    JournalPhysics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics
    Issue number1-2
    Publication statusPublished - 1995


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