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We present the theoretical predictions up to QCD next-to-leading order for the cross section of high-mass electronmuon pair production at the Tevatron and at the Large Hadron Collider(LHC),considering only the dominant contributions from the third-generation sneutrino.The dependence of the renormalization and factorization scales on the total cross section,and the effects on the K-factor due to the uncertainty of parton distribution function are carefully inyestigated.By considering soft-gluon resummation effects to all orders in αs of leading logarithm,we present the transverse momentum distributions of the final eμ pair.