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

Abstract

The imaginary part of the Feynman amplitude of the $W$-loop contribution to the Higgs decay into two gammas (viewed as a function of the square of the off shell Higgs momentum) is finite and unambiguous. It is presented as the product of an invariant amplitude $\mathcal{A}$ 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 $\mathcal{A}$ is convergent and reproduces the amplitude computed by R. Gastmans, S.L. Wu and T.T. Wu [GWW]. In particular, the decoupling theorem, criticized as an unjustified assumption in a subsequent paper [SVVZ12], is obtained as a corollary. By contrast with the currently used value (computed in [SVVZ]) our calculation provides a smaller Higgs decay rate into 2 photons than the currently observed. If accepted as a true prediction of the Standard Model, it would be a first indication for the need of a New Physics.

new discussions added at the end of Sec.3, 3 references added, changes at the end of the Abstract

References in corpus (9)

• Higgs Decay to Two Photons
• Gauge invariance at work in FDR: H -> gamma gamma
• Note on Higgs Decay into Two Photons $H\to \gamma \gamma$
• Higgs Decay into Two Photons through the W-boson Loop: No Decoupling in the m_W --> 0 Limit
• (Un)determined finite regularization dependent quantum corrections: the Higgs decay into two photons and the two photon scattering examples
• Higgs Decay into Two Photons, Revisited
• Higgs Decay H -->γγ through a W Loop: Difficulty with Dimensional Regularization
• Comment on H --> gamma gamma and the role of the decoupling theorem and the equivalence theorem
• Brief history for the search and discovery of the Higgs particle - A personal perspective

Cited by in corpus (2)

• Dispersion theoretic calculation of the $H\to Z+\gamma$ amplitude
• Once more on the Higgs decay into two photons