Constraints on the spin-parity and anomalous<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>H</mml:mi><mml:mi>V</mml:mi><mml:mi>V</mml:mi></mml:math>couplings of the Higgs boson in proton collisions at 7 and 8 TeV

The study of the spin-parity and tensor structure of the interactions of the recently discovered Higgs boson is performed using the $H\ensuremath{\rightarrow}ZZ,Z{\ensuremath{\gamma}}^{*},{\ensuremath{\gamma}}^{*}{\ensuremath{\gamma}}^{*}\ensuremath{\rightarrow}4\ensuremath{\ell}$, $H\ensuremath{\rightarrow}WW\ensuremath{\rightarrow}\ensuremath{\ell}\ensuremath{\nu}\ensuremath{\ell}\ensuremath{\nu}$, and $H\ensuremath{\rightarrow}\ensuremath{\gamma}\ensuremath{\gamma}$ decay modes. The full data set recorded by the CMS experiment during the LHC run 1 is used, corresponding to an integrated luminosity of up to $5.1\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ at a center-of-mass energy of 7 TeV and up to $19.7\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ at 8 TeV. A wide range of spin-two models is excluded at a 99% confidence level or higher, or at a 99.87% confidence level for the minimal gravitylike couplings, regardless of whether assumptions are made on the production mechanism. Any mixed-parity spin-one state is excluded in the $ZZ$ and $WW$ modes at a greater than 99.999% confidence level. Under the hypothesis that the resonance is a spin-zero boson, the tensor structure of the interactions of the Higgs boson with two vector bosons $ZZ$, $Z\ensuremath{\gamma}$, $\ensuremath{\gamma}\ensuremath{\gamma}$, and $WW$ is investigated and limits on eleven anomalous contributions are set. Tighter constraints on anomalous $HVV$ interactions are obtained by combining the $HZZ$ and $HWW$ measurements. All observations are consistent with the expectations for the standard model Higgs boson with the quantum numbers ${J}^{\mathrm{PC}}={0}^{++}$.