Phenomenology of QCD threshold resummation for gluino pair production at NNLL

TL;DR

This paper investigates the effects of threshold resummation at NNLL accuracy on gluino pair production cross sections, comparing it with NLO and NNLO approximations using Mellin-space and momentum-space formalisms.

Contribution

It provides a detailed analysis of threshold resummation effects at NNLL for gluino pair production, including new analytic inputs for momentum-space formalism and implementation insights.

Findings

Soft resummation maintains the cross section close to NLO results.

Resummation effects are significant near production threshold.

Comparison between Mellin-space and momentum-space formalisms shows consistent results.

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.