Abstract
We consider QCD radiative corrections to the production of colorless high-mass systems in hadron collisions. We show that the recent computation of the soft-virtual corrections to Higgs boson production at N3LO [1] together with the universality structure of soft-gluon emission can be exploited to extract the general expression of the hard-virtual coefficient that contributes to threshold resummation at N3LL accuracy. The hard-virtual coefficient is directly related to the process-dependent virtual amplitude through a universal (process-independent) factorization formula that we explicitly evaluate up to three-loop order. As an application, we present the explicit expression of the soft-virtual N3LO corrections for the production of an arbitrary colorless system. In the case of the Drell–Yan process, we confirm the recent result of Ref. [2].
Highlights
We consider QCD radiative corrections to the production of colorless high-mass systems in hadron collisions
We show how the results of Refs. [1] and [3] can be straightforwardly combined and used to extract the general expression of the hard-virtual coefficient that contributes to threshold resummation at next-to-next-to-next-to-leading-logarithmic (N3LL) accuracy for the cross section of a generic colorless high-mass system produced in hadron collisions
As discussed in Ref. [3], all-order soft-gluon resummation [11,12,13] for the hadroproduction cross section of a generic colorless high-mass system can be expressed in a process-independent form, whose sole processdependent information is encoded in the virtual amplitude of the specific process
Summary
We consider QCD radiative corrections to the production of colorless high-mass systems in hadron collisions. The threshold resummation formula for the production cross section can be perturbatively expanded up to N3LO, and for the specific case of the DY process we recover the result of Ref. Having Mcc→F , we can introduce the corresponding hard-virtual amplitude Mtchc→F for threshold resummation by using a process-independent (universal) factorization formula that has the following all-order expression [3]: Mtchc→F = 1 − Icth ǫ, M2 Mcc→F .
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