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Some background material for the seminar On Gauge Invariance and Minimal Coupling:
The original article by Grojean, Jenkins, Manohar, and Trott on RG evolution of dim-6 Higgs operators: arXiv:1301.2588
The response by Elias-Miro, Espinosa, Masso, and Pomarol: arXiv:1302.5661
The rejoinder by Jenkins, Manohar, and Trott: arXiv:1305.0017

hZgamma in composite Higgs models: take a look here