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Renormalizable quartic couplings among new particles are typical ofsupersymmetric models. Their detection could provide a test for supersymmetry,discriminating it from other extensions of the Standard Model. Quarticcouplings among squarks and sleptons, together with the SU(3) gauge couplingsfor squarks, allow a new realization of the gluon-fusion mechanism forpair-production of sleptons at the one-loop level. The corresponding productioncross section, however, is at most of ${\cal O}(1) $fb for slepton and squarkmasses of ${\cal O}(100) $GeV. We then extend our investigation to thegluon-fusion production of sleptons through the exchange of Higgs bosons. Thecross section is even smaller, of ${\cal O}(0.1) $fb, if the exchanged Higgsboson is considerably below the slepton-pair threshold, but it is enhanced whenit is resonant. It can reach ${\cal O}(10) $fb for the production of sleptonsof same-chirality, exceeding these values for $\widetilde{\tau}$'s ofopposite-chirality, even when chirality-mixing terms in the squark sector arevanishing. The cross section can be further enhanced if these mixing terms arenonnegligible, providing a potentially interesting probe of the Higgs sector,in particular of parameters such as $A$, $\mu$, and $\tan\beta$.

Testing supersymmetry at the LHC through gluon-fusion production of a slepton pair