Measurement of $Z\gamma$ Production at CDF

We present measurements of the $Z\gamma$ production cross section and kinematic distributions using 1~fb$^{-1}$ of luminosity collected by the CDF experiment in $p \bar{p}$ collisions at the Fermilab Tevatron in Run II. In the Standard Model this final state has contributions from $Z$ bosons produced with initial and final state photon radiation, and is sensitive to anomalous couplings of photons and $Z$ bosons due to possible contributions from physics beyond the Standard Model. Events are selected with two electrons or muons with transverse momenta $>20$~GeV, and isolated photons with $E_T>7$ GeV. The measured cross sections and kinematic distributions are compared to Standard Model predictions.