Pseudoscalar Higgs production in association with stop and sbottom pairs at the LHC in the MSSM

We study the processes `gluon gluon -> squark antisquark CP-odd Higgs' within the theoretical framework of the Supergravity (SUGRA) inspired Minimal Supersymmetric Standard Model (MSSM) at the leading order (LO) in perturbative Quantum Chromo-Dynamics (QCD). Other than constituting a novel production mechanism of the neutral, CP-odd Higgs particle, they also allow one to relate the size of the corresponding production rates to the ratio of the vacuum expectation values of the two Higgs fields tan(beta), to the trilinear couplings A_0 and to the sign of the Higgsino mass term sign(mu). This interplay is made easier by the absence of any mixing in the {tilde{q}}_1{tilde{q}}_2 A vertices, contrary to the case of all other Higgs bosons of the theory.