  We present a calculation of slepton pair production at the LHC at
next-to-next-to-leading logarithmic (NNLL) accuracy, matched to approximate
next-to-next-to-leading order (aNNLO) QCD corrections. We collect the relevant
analytical formulae, discuss the matching of logarithmically enhanced and
fixed-order results and describe the transformation of parton densities and
hadronic cross sections to and from Mellin space. Numerically, we find a
moderate increase of invariant-mass distributions and total cross sections with
respect to our previous results at next-to-leading logarithmic (NLL) accuracy
matched to next-to-leading order (NLO), and more importantly a further
significant reduction of the factorisation and renormalisation scale dependence
that stabilises our predictions to the permil level. The dependence on other
supersymmetric parameters like squark and gluino masses and sbottom mixing that
enter only at NLO is found to be weak, i.e.\ less than two percent, as
expected.
