Abstract

We present state-of-the art predictions for the production of supersymmetric squarks and gluinos at the Large Hadron Collider (LHC), including soft-gluon resummation up to next-to-next-to-leading logarithmic (NNLL) accuracy, the resummation of Coulomb corrections and the contribution from bound states. The NNLL corrections enhance the cross-section predictions and reduce the scale uncertainty to a level of 5-10%. The NNLL resummed cross-section predictions can be obtained from the computer code NNLL-fast, which also provides the scale uncertainty and the pdf and alpha_s error.

Highlights

  • We present state-of-the art predictions for the production of supersymmetric squarks and gluinos at the Large Hadron Collider (LHC), including soft-gluon resummation up to next-to-next-to-leading logarithmic (NNLL) accuracy, the resummation of Coulomb corrections and the contribution from bound states

  • We find that the NNLL corrections are positive and significantly enhance the next-to-leading order (NLO)+NLL cross sections

  • For the sake of comparison we present the cross-sections at a collider energy of S = 8 TeV and use the MSTW2008 pdf set, with NLO pdfs for results at NLO and NLO+NLL accuracy, and NNLO pdfs for results at NNLOApprox+NNLL accuracy

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Summary

NNLL formalism in Mellin space: a brief review

We begin with the general formulation of the resummed total cross section in Mellin space for hadronic processes involving the production of a heavy particle pair. We move on to discuss the resummation of Coulomb corrections and the inclusion of boundstate effects

Resummation of threshold logarithms at NNLL
Resummation of Coulomb corrections
Inclusion of bound-state contributions
Numerical results
Comparison with SCET results
Findings
Conclusions and outlook
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