NNLL soft and Coulomb resummation for squark and gluino production at the LHC

Abstract

We present predictions for the total cross sections for pair production of squarks and gluinos at the LHC including a combined NNLL resummation of soft and Coulomb gluon effects. We derive all terms in the NNLO cross section that are enhanced near the production threshold, which include contributions from spin-dependent potentials and so-called annihilation corrections. The NNLL corrections at $\sqrt{s}=13$ TeV range from up to $20\%$ for squark-squark production to $90\%$ for gluino pair production relative to the NLO results and reduce the theoretical uncertainties of the perturbative calculation to the $10\%$ level. Grid files with our numerical results are publicly available.

42 pages, 17 figures. v2: published version; corrected fig. 6; generalized eq.(A.5) to arbitrary SU(N) gauge groups

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• Higgsino and gaugino pair production at the LHC with aNNLO+NNLL precision
• NNLL-fast 2.0: Coloured Sparticle Production at the LHC Run 3 with $\sqrt{S}$ = 13.6 TeV
• Squark production with R-symmetry beyond NLO at the LHC