Abstract
In this work, we address the phenomenological consequences of explicit CP violation on direct Higgs–boson searches at high energy colliders. Having a restricted parameter space, we concentrate on the recently proposed gluino–axion model, and investigate the CP violation capability of the model subject to the recent experimental data. It is shown that the Higgs masses as well as their CP compositions are quite sensitive to the supersymmetric CP phases. The lightest Higgs is found to be nearly CP even to a good approximation whilst the remaining two heavy scalars do not have definite CP parities.