Resummation of Singlet Parton Evolution at Small x

Details Resummation of Singlet Parton Evolution at Small x Resummation of Singlet Parton Evolution at Small x

1999-11-08

arxiv.org/abs/hep-ph/9911273v2

Nucl.Phys.B575:313-329,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, 6 figures, LaTeX with epsfig; final version, to be published in Nucl. Phys. B. A few typos corrected for the record

Scientific paper

10.1016/S0550-3213(00)00032-8

We propose an improvement of the splitting functions at small x which overcomes the apparent problems encountered by the BFKL approach. We obtain a stable expansion for the x-evolution function chi(M) near M=0 by including in it a sequence of terms derived from the one- and two-loop anomalous dimension gamma. The requirement of momentum conservation is always satisfied. The residual ambiguity on the splitting functions is effectively parameterized in terms of the value of lambda, which fixes the small x asymptotic behaviour x^-lambda of the singlet parton distributions. We derive from this improved evolution function an expansion of the splitting function which leads to good apparent convergence, and to a description of scaling violations valid both at large and small x.

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