Joint resummation for heavy quark production(3)

发布时间:2021-06-09

We present the joint threshold and recoil resummed transverse momentum distributions for heavy quark hadroproduction, at next-to-leading logarithmic accuracy. We exhibit their dependence on the production channel and the color configurations, and compare t

Jointresummationforheavyquarkproduction3

whereµ¯isacut-o anddσAB→Q+X

e

i b·Q

T(2π)2

dN

M

(N)ln

1(N)+M 8(N)eCAt

m2 22T

4πS2

N+1

4(m2+|p .

T Q

T/2|2) (6)

Noticeinparticularthelastfactor,whichprovidesakinematiclinkbetweenre-coilandthresholde ects.TheexponentialfunctionsEab2,6aretonext-to-leading

logarithmic(NLL)accuracy

Eab(N,b)= Q

dµ′

gb2,N

¯=NeγE,χ(N,b)

Q(7)

wherethecoe cientsAaandAbcanbefoundelsewhere2,andthefunctionχ(N,b)

ischosentoreproduce4eitherNLLresummedrecoilorthresholddistributionsintheappropiatelimits.Wealsoaddedtotheperturbativeexponentthenon-perturbative(NP)Gaussiansmearingterm gb2,intermsoftheimpactparameterb.Wehavet(N)=

introducedthevariables

Q/Ndµ

′,ReL1+β2β= ,β=Q

π1+β

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