Renormalization of dimension-six operators relevant for the Higgs decays hγγ,γZh\rightarrow \gamma\gamma,\gamma Z

Feb 22, 2013
21 pages
Published in:
  • JHEP 08 (2013) 033
  • Published: 2013
e-Print:
Report number:
  • CERN-PH-TH-2013-029

Citations per year

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Abstract: (Springer)
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 → γγ, γZ, 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 → γγ, γZ 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.
Note:
  • 21 pages. Improved version with h -> gamma Z results added and structure of anomalous-dimension matrix determined further. Conclusions unchanged
  • Higgs Physics
  • Beyond Standard Model
  • Renormalization Group
  • operator: mixing
  • coupling: Higgs
  • renormalization
  • renormalization group
  • Higgs particle: decay
  • new physics
  • operator: dipole
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