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We reanalyze the recent computation of the amplitude of the Higgs boson decayinto two photons presented by Gastmans et al.. The reasons for which thisresult cannot be the correct one have been discussed in some recent papers. Weaddress here the general issue of the indeterminacy of integrals withfour-dimensional gauge-breaking regulators and to which extent it mighteventually be solved by imposing physical constraints. Imposing gaugeinvariance as the last step upon R_xi gauge calculations with four-dimensionalgauge-breaking regulators, allows indeed to recover the well known H -> gammagamma result. However we show that in the particular case of the unitary gauge,the indeterminacy cannot be tackled in this same way. The combination ofunitary gauge with a cutoff regularization scheme turns out to benon-predictive.

H -> gamma gamma: a Comment on the Indeterminacy of Non-Gauge-Invariant Integrals