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A conformally invariant hidden sector is considered, with a scalar operator$O$ of low dimension that couples to the electro-weak gauge bosons of theStandard Model, via terms such as $O F^{\mu\nu}F_{\mu\nu}$. By examining singlephoton production at LEP, we bound the strength of these interactions. We applyour results, along with those of Delgado and Strassler and of Caracciolo andRychkov, to improve the bound on four-photon production through "unparticleself-interactions", as proposed by Feng et al. We find the maximum allowablecross-section is of order a few tens of femtobarns at the 14 TeV LHC, and lieswell below 1 fb for a wide range of parameters.

Bounds from LEP on unparticle interactions with electroweak bosons