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The imaginary part of the Feynman amplitude of the $W$-loop contribution tothe Higgs decay into two gammas (viewed as a function of the square of the offshell Higgs momentum) is finite and unambiguous. It is presented as the productof an invariant amplitude ${\cal A}$ times a bilinear in the components of the(on shell) photon momenta factor which takes the Ward identity into account.The unsubtracted dispersion integral of ${\cal A}$ is convergent and reproducesthe amplitude computed by R. Gastmans, S.L. Wu and T.T. Wu [GWW]. Inparticular, the decoupling theorem, criticized as an unjustified assumption ina subsequent paper [SVVZ12], is obtained as a corollary. By contrast with thecurrently used value (computed in [SVVZ]) our calculation provides a smallerHiggs decay rate into 2 photons than the currently observed. If accepted as atrue prediction of the Standard Model, it would be a first indication for theneed of a New Physics.

Once more on the W-loop contribution to the Higgs decay into two photons