Pair production of heavy MSSM charged and neutral Higgs bosons in multi-TeV<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>e</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>e</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math>collisions at the Compact Linear Collider

In the theoretical framework of the minimal supersymmetric extension of the standard model (MSSM), we study the pair production of heavy charged and neutral Higgs bosons in ${e}^{+}{e}^{\ensuremath{-}}$ collisions with a center-of-mass energy of 3 TeV, at the Compact Linear Collider (CLIC). The high-energy beam-beam effects at the interaction point are taken into account in our simulations. With an integrated luminosity of $3000\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$, the hadronic cascade decays of ${H}^{+}{H}^{\ensuremath{-}}$ and ${A}^{0}{H}^{0}$ pairs can be observed over a wide range of Higgs boson masses, extending beyond 1 TeV. The Higgs mass parameter ${m}_{A}$ can be derived from a ${\ensuremath{\chi}}^{2}$-analysis, and the corresponding statistical error was found to be smaller than 1%. In addition, by comparing the signal rates of different decay channels, one can determine the ratio between the vacuum expectation values $\mathrm{tan}\ensuremath{\beta}$ with a good accuracy in the intermediate region, i.e. when $\mathrm{tan}\ensuremath{\beta}$ lies between 6 and 11 typically.