Renormalization of dimension-six operators relevant for the Higgs decays $h\to \gamma \gamma ,\gamma Z$

Abstract

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 $h\to \gamma \gamma ,\gamma Z$, 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 $h\to \gamma \gamma ,\gamma Z$ 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.

21 pages. Improved version with h -> gamma Z results added and structure of anomalous-dimension matrix determined further. Conclusions unchanged

References in corpus (11)

• Dimension-Six Terms in the Standard Model Lagrangian
• The Strongly-Interacting Light Higgs
• The Higgs boson from an extended symmetry
• Search for the Standard Model Higgs boson in the diphoton decay channel with 4.9 fb-1 of pp collisions at sqrt(s) = 7 TeV with ATLAS
• Search for the standard model Higgs boson decaying into two photons in pp collisions at sqrt(s)=7 TeV
• Theoretical Constraints on the Higgs Effective Couplings
• Renormalization Group Scaling of Higgs Operators and Γ(h -> γγ)
• Anomalous Higgs Boson Production and Decay
• Probing top-Higgs non-standard interactions at the LHC
• Low-Energy Constraints on New Physics Revisited
• Higgs production as a probe of anomalous top couplings

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