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We study neutral and charged Higgs boson production in association with stopand sbottom squarks at the Large Hadron Collider, within the Supergravityinspired Minimal Supersymmetric Standard Model. The phenomenological relevanceof such reactions is twofold. Firstly, they constitute a novel productionmechanism of Higgs particles, either through a decay of a heavier (anti)squarkinto a lighter one or via a Higgs bremsstrahlung process. Secondly, theirproduction rates are extremely sensitive to the values assumed by the fiveinput parameters of the model, this possibly allowing one to put stringentconstraints on the latter. After an exhaustive scan of the parameter space, wefind that the majority of such processes could be detectable at highluminosity, provided tan(beta) is large, tan(beta) > 30 (except in the case of\tilde{t}_1\tilde{t}_1^* h and \tilde{t}_1\tilde{t}_2^* h final states, whosedetection is also possible for smaller values), that the universal softSupersymmetric breaking masses are in the ranges M_0 < 500 GeV and M_{1/2} <220 GeV, and that the trilinear couplings are negative, A_0 < 0. We also pointout some sizable decay signatures and discuss their Standard Model (SM)backgrounds. Finally, we derive compact analytical formulae of thecorresponding scattering matrix elements.

Higgs production in association with squark pairs in the Minimal Supersymmetric Standard Model at future hadron colliders