Monday, February 25, 2013

1302.5661 (J. Elias-Miro et al.)

Renormalization of dimension-six operators relevant for the Higgs decay
h -> γ γ
   [PDF]

J. Elias-Miro, J. R. Espinosa, E. Masso, A. Pomarol
The discovery of the Higgs boson has opened a new window to test the SM through the measurements of its couplings. Of particular interest is the measured Higgs coupling to photons which arises in the SM at the one-loop level, and can then be significantly affected by new physics. We calculate the one-loop renormalization of the dimension-six operators relevant for h -> {\gamma} {\gamma}, which can be potentially important since it could, in principle, give log-enhanced contributions from operator mixing. We find however that there is no mixing from any current-current operator that could lead to this log-enhanced effect. We show how the right choice of operator basis can make this calculation simple. We then conclude that h -> {\gamma} {\gamma} (and also h -> {\gamma} Z) can only be affected by RG mixing from operators whose Wilson coefficients are expected to be of one-loop size, among them fermion dipole-moment operators which we have also included.
View original: http://arxiv.org/abs/1302.5661

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