Production of neutral and charged Higgs bosons of the MSSM at the future e-gamma colliders
U. Cotti (SISSA, Trieste & Mexico, IPN), J.L. Diaz-Cruz, J.J., Toscano(Puebla U., Mexico)

TL;DR
This paper analyzes the potential for detecting neutral and charged Higgs bosons of the MSSM at future electron-photon colliders, showing promising signals for neutral Higgs detection and challenging prospects for charged Higgs observation.
Contribution
It provides a comprehensive calculation of Higgs boson production cross sections at e-gamma colliders within the MSSM, using a specific gauge choice and exploring detection possibilities.
Findings
Neutral Higgs bosons can be detected at future colliders in most parameter regions.
The reaction e gamma --> e Higgs can measure Higgs mass via outgoing electron detection.
Charged Higgs production has smaller cross sections, making detection more difficult.
Abstract
A complete study for the production of neutral (h^0, H^0, A^0 (= \phi^0_i)) and charged Higgs (H^\pm) bosons at electron-photon colliders is presented in the context of the minimal supersymmetric standard model. A particular choice of the non-linear R_\xi gauge is used to evaluate the amplitudes of the reaction e-gamma --> e \phi^0_i. The resulting cross section indicates that it will be possible to detect a signal from the neutral Higgs bosons for most regions of parameter space at the future linear colliders with \sqrt{s}=500 GeV through the reaction e gamma --> e \phi^0_i. This reaction also offers the interesting possibility to measure the Higgs mass through the detection of the outgoing electron. The production of the charged Higgs boson through the reaction e gamma --> \nu_e H^\pm$ has in general smaller values for the cross section, which seems more difficult to observe.
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