On next-to-eikonal corrections to threshold resummation for the Drell-Yan and DIS cross sec

We study corrections suppressed by one power of the soft gluon energy to the resummation of threshold logarithms for the Drell-Yan cross section and for Deep Inelastic structure functions. While no general factorization theorem is known for these next-to-e

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aDFTT-19/2008NIKHEF/2008-008ITP-UU-08/43ITFA-2008-27Onnext-to-eikonalcorrectionstothresholdresummationfortheDrell-YanandDIScrosssectionsEricLaenen1NIKHEFKruislaan409,1098SJAmsterdamITFA,UniversityofAmsterdam,Valckenierstraat65,1018XEAmsterdamITF,UtrechtUniversity,Leuvenlaan4,3584CEUtrecht,NetherlandsLorenzoMagnea2DipartimentodiFisicaTeorica,Universit`adiTorinoandINFN,SezionediTorinoViaP.Giuria1,I–10125Torino,ItalyGerbenStavenga3InstituteforTheoreticalPhysics,UtrechtUniversityLeuvenlaan4,3584CEUtrecht,NetherlandsAbstractWestudycorrectionssuppressedbyonepowerofthesoftgluonenergytotheresummationofthresholdlogarithmsfortheDrell-YancrosssectionandforDeepInelasticstructurefunctions.Whilenogeneralfactorizationtheoremisknownforthesenext-to-eikonal(NE)corrections,itisconjecturedthatat

leastasubsetwillexponentiate,alongwiththelogarithmsarisingatleadingpower.HerewedevelopsomegeneraltoolstostudyNElogarithms,andweconstructanansatzforthresholdresummationthatincludesvarioussourcesofNEcorrections,implementinginthiscontexttheimprovedcollinearevolutionrecentlyproposedbyDokshitzer,MarchesiniandSalam(DMS).Wecompareouransatztoexistingexactresultsattwoandthreeloops, ndingevidencefortheexponentiationofleadingNElogarithmsandcon rmingthepredictivityofDMSevolution.

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