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An exactly solvable large $N$ model is constructed which reduces at lowenergies to the Standard Model plus the dimension six Higgs-gauge operators$g_1^2 H^\dagger H B_{\mu \nu} B^{\mu \nu}$, $g_2^2 H^\dagger H W^a_{\mu \nu}W^{a\mu \nu}$, $g_1 g_2 H^\dagger \tau^a H W^a_{\mu \nu} B^{\mu \nu}$, and$\epsilon^{abc} W^a_{\mu}{}^\nu W^b_{\nu}{}^\rho W^c_{\rho}{}^\mu$. All otherdimension six operators are suppressed by powers of $1/N$. The Higgs-gaugeoperators lead to deviations from the Standard Model $h \to \gamma\gamma$ and$h \to \gamma Z$ rates. A simple variant of the model can be used to alsogenerate the Higgs-gluon operator $g_3^2 H^\dagger H G^A_{\mu \nu} G^{A\mu\nu}$ which contributes to the Higgs production rate via gluon fusion.

An Exactly Solvable Model for Dimension Six Higgs Operators and $h \to \gamma \gamma$