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The level of experimental precision that will be achieved with LHC Run-IIIdata and in the forthcoming High Luminosity stage calls for equally accuratetheoretical predictions to compare with. Here we present updated cross sectioncalculations for the electroweak production of SUSY particles at the LHC withaNNLO+NNLL (approximate next-to-next-to-leading-order plusnext-to-next-to-leading-logarithmic) accuracy. Results are shown for sleptonpair production and for electroweakinos pair production in their mostlyhiggsino or gaugino configuration, finding a further significant reduction ofthe factorisation and renormalisation scale dependence that stabilises thepredictions to the permil level.

Slepton and Electroweakino pair production with aNNLO+NNLL precision