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The production of triple Higgs $(H^+H^-H^0)$, $(H^+H^-h^0)$ and pair wisecharged Higgs boson $(H^+H^-)$ is studied in the context of future linearcolliders within the Two-Higgs Doublet Model (2HDM) type II. The aim is tocompare sources of charged Higgs pair through the above processes, i.e., doubleand triple Higgs production. Cross-sections are calculated at the leading orderin 2HDM type II and Minimal Supersymmetric Standard Model (MSSM). Severalorders of magnitude ($\sim 10^{4}$) enhancement is observed in 2HDM compared toMSSM, while no sizable enhancement is seen in muon collider versuselectron-positron collider. The analysis is based on a heavy charged Higgs withmass above 500 GeV. It is found that double charged Higgs productioncross-section (being the same in 2HDM and MSSM) is few femtobarns while thetriple Higgs production can not exceed a fraction of femtobarn within theparameter space under study.

Sources of Charged Higgs Pair Through Double or Triple Higgs Production in Two Higgs Doublet Model Type II at Linear Colliders