Abstract
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.
Highlights
JHEP05(2013)044 and we have introduced the hadronic center-of-mass energy s, the partonic cms energy s = τ s, the factorization scale μf, and the renormalization scale μr
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-leadingorder approximation
We find that soft resummation keeps the hadronic cross section close to the fixed next-to-leading-order result
Summary
The traditional approach to threshold resummation has been invented in ref. [5, 6], see ref. [17,18,19,20,21,22] for further discussions. Note that starting from NNLO, one has non-relativistic corrections of non-Coulomb type which cause the cross section to depend on the spin-configuration S of the produced heavy particle pair [24,25,26,27,28]. These terms are not treated by the exponent (2.3) and are fully hosted by the hard matching constant. All ingredients of the NNLL threshold resummation in Mellin space for gluino pair production can be found in ref. [13]
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