Can the 126 GeV boson be a pseudoscalar?

We test the possibility that the newly-discovered 126 GeV boson is a pseudoscalar by examining the correlations among the loop-induced pseudoscalar decay branching fractions to $γγ$, $ZZ^*$, $Zγ$, and $WW^*$ final states in a model-independent way. These four decays are controlled by only two effective operators, so that the rates in $Zγ$ and $WW^*$ are predicted now that the rates in $γγ$ and $ZZ^*,Zγ^* \to 4 \ell$ have been measured. We find that the pseudoscalar possibility is disfavored but not conclusively excluded. Experimental exclusion of the $Zγ$ decay to well below $σ/σ_{\rm SM} \sim 170$ or conclusive observation of the $WW^*$ decay near the Standard Model rate would eliminate the pseudoscalar possibility. The $Zγ$ exclusion should be possible using existing data. The only loophole in our argument is the possibility that the $4\ell$ signal comes from pseudoscalar decays to a pair of new neutral gauge bosons with mass near the $Z$ pole.

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