Resummation of Singlet Parton Evolution at Small x

dc.creatorAltarelli, Guido
dc.creatorBall, Richard D.
dc.creatorForte, Stefano
dc.date1999-11-08
dc.date2000-04-11
dc.date.accessioned2026-07-07T10:53:14Z
dc.date.available2026-07-07T10:53:14Z
dc.descriptionWe 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.
dc.description16 pages, 6 figures, LaTeX with epsfig; final version, to be published in Nucl. Phys. B. A few typos corrected for the record
dc.identifierhttps://arxiv.org/abs/hep-ph/9911273
dc.identifierhttp://arxiv.org/abs/hep-ph/9911273
dc.identifierNucl.Phys.B575:313-329,2000
dc.identifierdoi:10.1016/S0550-3213(00)00032-8
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185416
dc.subjectHigh Energy Physics - Phenomenology
dc.titleResummation of Singlet Parton Evolution at Small x
dc.typetext

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