Higgs pseudoscalar production in association with top squark and bottom squark pairs at the CERN LHC in the MSSM

We study the processes $g\overrightarrow{g}{q}_1{q}_2^{*}A$, with $q=t,b$, within the theoretical framework of the supergravity inspired minimal supersymmetric standard model at the leading order in perturbative quantum chromodynamics. Other than constituting a novel production mechanism of the neutral, $\mathrm{CP}$-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 $\mathrm{sgn}\left(\mu \right)$. This interplay is made easier by the absence of any mixing in the $q_1{q}_{2}A$ vertices, contrary to the case of all other Higgs bosons of the theory.