Measurement of the production cross section for $Z\gamma \to \nu\bar{\nu}\gamma$ in pp collisions at $\sqrt{s} =$ 7 TeV and limits on $ZZ\gamma$ and $Z\gamma\gamma$ triple gauge boson couplings

A measurement of the $Z\gamma \to \nu\bar{\nu}\gamma$ cross section in pp collisions at $\sqrt{s}$ = 7 TeV is presented, using data corresponding to an integrated luminosity of 5.0 inverse femtobarns collected with the CMS detector. This measurement is based on the observation of events with an imbalance of transverse energy in excess of 130 GeV and a single photon in the absolute pseudorapidity range |$\eta$| < 1.4 with transverse energy above 145 GeV. The $Z\gamma \to \nu\bar{\nu}\gamma$ production cross section is measured to be 21.1 +/- 4.2 (stat.) +/- 4.3 (syst.) +/- 0.5 (lum.) fb, which agrees with the standard model prediction of 21.9 +/- 1.1 fb. The results are combined with the CMS measurement of $Z\gamma$ production in the $l^+ l^- \gamma$ final state (where l is an electron or a muon) to yield the most stringent limits to date on triple gauge boson couplings: $|h_3^Z| < 2.7 \times 10^{-3}, |h_4^Z| < 1.3 \times 10^{-5}$ for $ZZ\gamma$ and $|h_3^\gamma| < 2.9 \times 10^{-3}, |h_4^\gamma| < 1.5 \times 10^{-5}$ for $Z\gamma\gamma$ couplings.