Radiative corrections to $e^{+}{e}^{-}\to H^{+}{H}^{-}$: THDM versus MSSM

Abstract

One loop radiative corrections to $e^{+}{e}^{-}\to H^{+}{H}^{-}$ are considered at future linear collider energies, in the general type II Two Higgs Doublet Model (THDM) and in the Minimal Supersymmetric Standard Model-like (MSSM) Higgs sector. To make the comparison between THDM and MSSM tractable, we have introduced a quasi-SUSY parameterization which preserves all the tree-level Higgs mass-sum-rules of the MSSM, and involves just 3 free parameters in the Higgs sector (instead of 7 in the general THDM) and comprises the MSSM as a particular case. The model-independent soft photon contribution is isolated and shown to be substantial. Important effects come also from the contribution of the model dependent $h^0{H}^{+}{H}^{-}$ and $H^0{H}^{+}{H}^{-}$ vertices to the final state. In the MSSM, the contribution of the Higgs sector is moderate (a few percent) while in the THDM and both for small and large $\tan \beta$ important effects ($\sim +30$) can be found.

46 pages, LaTeX, 9 figures, shortened and revised version, to be published in Nuclear Physics B

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