Phenomenology of QCD threshold resummation for gluino pair production at NNLL

Abstract

We examine the impact of threshold resummation for the inclusive hadronic production cross section of gluino pairs at next-to-next-to-leading-logarithmic accuracy, compared to the exact next-to-leading-order cross section and the next-to-next-to-leading-order approximation. Here, we apply formulas derived recently in the classical Mellin-space formalism. Moreover, we give the analytic input for the alternative momentum-space formalism and discuss the crucial points of the numeric implementation. We find that soft resummation keeps the hadronic cross section close to the fixed next-to-leading-order result.

Comments: 18 pages, 3 figures, 1 table; v2: comment on NNLO matching added, typo in Eq. (37) corrected, some statements in section 5 corrected; v3: table added, discussion of the hadronic cross section now also treats MSTW2008 PDF sets, matches publication in JHEP; v4: Error in the numerical computation of the Mellin inversion corrected