We review the current status of small x resummation of evolution of parton distributions and of deep–inelastic coefficient functions. We show that the resummed perturbative expansion is stable, robust upon different treatments of subleading terms, and that it matches smoothly to the unresummed perturbative expansions, with corrections which are of the same order as the typical NNLO ones in the HERA kinematic region. We discuss different approaches to small x resummation: we show that the ambiguities in the resummation procedure are small, provided all parametrically enhanced terms are included in the resummation and properly matched.
Can we trust small x resummation? / S. Forte, G. Altarelli, R. D. Ball. - In: NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS. - ISSN 0920-5632. - 191:C(2009), pp. 64-75. ((Intervento presentato al convegno Ringberg workshop : new trends in HERA physics tenutosi a Ringberg Castle, Tegernsee, Germany nel 2008 [10.1016/j.nuclphysbps.2009.03.114].
Can we trust small x resummation?
S. FortePrimo
;
2009
Abstract
We review the current status of small x resummation of evolution of parton distributions and of deep–inelastic coefficient functions. We show that the resummed perturbative expansion is stable, robust upon different treatments of subleading terms, and that it matches smoothly to the unresummed perturbative expansions, with corrections which are of the same order as the typical NNLO ones in the HERA kinematic region. We discuss different approaches to small x resummation: we show that the ambiguities in the resummation procedure are small, provided all parametrically enhanced terms are included in the resummation and properly matched.
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