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].
Threshold resummation at N3LL accuracy and soft-virtual cross sections at N3LO / S. Catani, L. Cieri, D. de Florian, G. Ferrera, M. Grazzini. - In: NUCLEAR PHYSICS. B. - ISSN 0550-3213. - 888(2014), pp. 75-91. [10.1016/j.nuclphysb.2014.09.012]
Threshold resummation at N3LL accuracy and soft-virtual cross sections at N3LO
G. Ferrera;
2014
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].File | Dimensione | Formato | |
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