| The Minimal Supersymmetric Standard Model (MSSM), the most economical super-symmetric (SUSY) extension of the Standard Model, introduces no new gauge interactions and just contains basic particle spectrum. Furthermore, some special SUSY breaking modelsneed only several extra parameters, so they show powerful ability of prediction and have attracted people's attentions for a long time.In this paper, we firstly present a brief summary of the current theoretical and experimentalresearch status of MSSM, which includes productions and decays of SUSY particles and some strict experimental constraints on the values of SUSY parameters. We then give the theoretical predictions for the cross sections of the associated production of the up squarks and charginos at the CERN Large Hadron Collider (LHC) in next-to-leading order (NLO) QCD including SUSY QCD. Our calculations show that(1) In appropriate range of parameters allowed by current data, the total cross section of gd→u1χ1- can reach a few hundred fb, and especially for small value of mu1 it can exceed 1 pb. This means that if SUSY really exists, there will be abundant events to detect the SUSY particles at LHC experiments through this process.(2) The NLO QCD corrections in general enhance the leading order cross sections significantly,and the enhancement can reach 40%.(3) Both the total cross sections and the NLO QCD corrections depend mildly on tanβ, but strongly onμand M2.(4) The NLO QCD corrections vastly reduce the dependence of the total cross sections on the renormalization/factorization scale, which leads to increased confidence in predictionsbased on these results. |