Joint resummation for heavy quark production(3)
发布时间:2021-06-09
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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