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We have calculated the $W$-loop contribution to the amplitude of the decay $H\to Z \gamma$ in the unitary gauge through the dispersion method and in the$R_\xi$ gauge using dimensional regularization (DimReg). We show that theresults of the calculations with DimReg and the dispersion method, adopting theboundary condition at the limit $M_W \to 0$ defined by the Goldstone bosonequivalence theorem (GBET), completely coincide. This implies that thedispersion method obeying the GBET is compatible with DimReg. The advantage ofthe applied dispersion method is that we work with finite quantities and noregularization is required.

The dispersion method and dimensional regularization applied to the decay $H \to Z \gamma$