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Analysis of deep inelastic scattering with $z$-dependent scale

Evolution of the parton densities at NLO in $\alpha_S$ using $\tilde W^2 = Q^2 (1-z)/z$ instead of the usual $Q^2$ for the scale of the running coupling $\alpha_S$ is investigated. While this renormalisation scale change was originally proposed as the rele

RAL-TR-1999-028

April1999

arXiv:hep-ph/9904317v1 13 Apr 1999

Analysisofdeepinelasticscatteringwith

z-dependentscale

R.G.Roberts

RutherfordAppletonLaboratory,Chilton,Didcot,Oxon,OX110QX

Abstract

2=Q2(1 z)/zinsteadEvolutionofthepartondensitiesatNLOinαSusingW

oftheusualQ2forthescaleoftherunningcouplingαSisinvestigated.Whilethisrenormalisationscalechangewasoriginallyproposedastherelevantoneforx→1,weexploretheconsequencesforallxwiththischoice.WhileitleadstonoimprovementtothedescriptionofDISdata,thenatureofthegluonatlowx,lowQ2isdi erent,avoidingtheneedfora‘valence-like’gluon.

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