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We point out that the one-loop amplitude of the $h^0\rightarrow\gamma\gamma$decay is gauge invariant owing to a particular relation between the trilinearcouplings and the Higgs boson mass. This relation follows only from the gaugesymmetry breaking pattern realized by the potential of the scalar fields andnot on its specific form. This allows to justify the seemingly inconsistentcalculation of the $h^0\rightarrow\gamma\gamma$ amplitude in the minimalsupersymmetric model (MSSM) in which one takes the mass of the lighter Higgsboson from e.g. the one-loop effective potential.

Gauge invariance of the $h^0\rightarrow\gamma\gamma$ amplitude