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A search for particles with the same mass and couplings as those of thestandard model Higgs boson but different spin and parity quantum numbers ispresented. We test two specific non-standard Higgs boson hypotheses: apseudoscalar Higgs boson with spin-parity $J^P$ = $0^-$ and a graviton-likeHiggs boson with $J^P$ = $2^+$, assuming for both a mass of 125 GeV/$c^2$. Wesearch for these exotic states produced in association with a vector boson anddecaying into a bottom-antibottom quark pair. The vector boson is reconstructedthrough its decay into an electron or muon pair, or an electron or muon and aneutrino, or it is inferred from an imbalance in total transverse momentum. Weuse expected kinematic differences between events containing exotic Higgsbosons and those containing standard model Higgs bosons. The data werecollected by the CDF experiment at the Tevatron proton-antiproton collider,operating at a center-of-mass energy of $\sqrt{s}=1.96$ TeV, and correspond toan integrated luminosity of 9.45 fb$^{-1}$. We observe no significantdeviations from the predictions of the standard model with a Higgs boson ofmass 125 GeV/$c^2$, and set bounds on the possible rate of production of eachexotic state.

Constraints on models of the Higgs boson with exotic spin and parity using the full CDF data set