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Heavy quark production in Color Glass Condensate

We discuss heavy quark production in High Parton Density QCD in quasi-classical approximation and including low-$x$ quantum evolution. We also consider an alternative approach based on the effect of pair production in external fields.

HeavyquarkproductioninColorGlassCondensate

aKirillTuchina,bDepartmentofPhysicsandAstronomy,IowaStateUniversity,Ames,IA50011bRIKENBNLResearchCenter,Upton,NY11973-5000

(Dated:February2,2008)

WediscussheavyquarkproductioninHighPartonDensityQCDinquasi-classicalapproximation

andincludinglow-xquantumevolution.Wealsoconsideranalternativeapproachbasedonthee ect

ofpairproductioninexternal elds.

BasedontalkpresentedattheInternationalConferenceonStrangenessinQuarkMatter,UniversityofCalifornia,

LosAngeles,Mach30,2006.

arXiv:hep-ph/0605309v1 28 May 2006I.QUASI-CLASSICALAPPROXIMATIONProductionofaquarkqandantiqiuarkq¯pairathighenergiesischaracterizedbytwotimescales:productiontimeτPandinteractiontimeτint.InpAcollisionsinthecenter-of-massframeoftheqq¯pairtheproductiontimeisτP 1/(2m),wheremisaquark’smass.Inthenucleusrestframe,thistimeisLorentztime-dilatedbyEg/(2m√)whereEgisenergyofagluoninaprotonfromwhichtheqq¯originates.IntermsoftheBjorkenvariablex2=(mT/

d2k1d2k2dydαd2b=11·(x1) ik2 y

1,x

1,1,y1,x1,yk

isimpactparameter.ΦijandΞij(i,j=1,2,3)arelight-conewavefunctionsandpropagators

fordi erenttimeorderingsincon gurationspace.Integrationsin(1)gooveralltransversecoordinatesinaprotonwavefunction.

ThecomplicatedresultofRef.[2]canbesimpli edforthealignedjetcon guration:whenquarkoranti-quarktakesawaymostofthegluon’senergy(α 1)[1].Inthatcasethegluonproductiontimebecomesmuchlargerthanthatofqq¯whichallowsfactorizationofthelight-conewavefunctionsintothoseofgluonΦg→qq¯andquark–anti-quarkΦqv→qvg¯.Thenthedi erentialcrosssectionforsingleinclusivequarkproductioninpAcollisionsreads[3,4,5] dσ′,x,α)Φqv→qvgdαd2xd2yd2x′e ik y,y¯(x42(2π)

CF

4 yCF

4 xCF

4 x

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