Distinguishing 'Higgs' spin hypotheses using γγ and WW* decays

The new particle X recently discovered by the ATLAS and CMS Collaborations in searches for the Higgs boson has been observed to decay into gamma gamma, ZZ* and WW*, but its spin and parity, J(P), remain a mystery, with J(P) = 0(+) and 2(+) being open possibilities. We use PYTHIA and Delphes to simulate an analysis of the angular distribution of gg -> X -> gamma gamma decays in a full 2012 data set, including realistic background levels. We show that this angular distribution should provide strong discrimination between the possibilities of spin zero and spin two with graviton-like couplings: similar to 3 sigma if a conservative symmetric interpretation of the log-likelihood ratio (LLR) test statistic is used, and similar to 6 sigma if a less conservative asymmetric interpretation is used. The WW and ZZ couplings of the Standard Model Higgs boson and of a 2(+) particle with graviton-like couplings are both expected to exhibit custodial symmetry. We simulate the present ATLAS and CMS search strategies for X -> WW* using PYTHIA and Delphes, and show that their efficiencies in the case of a spin-2 particle with graviton-like couplings are a factor similar or equal to 1.9 smaller than in the spin-0 case. On the other hand, the ratio of X2+ -> WW* and ZZ* branching ratios is larger than that in the 0+ case by a factor similar or equal to 1.3. We find that the current ATLAS and CMS results for X -> WW* and X -> ZZ* decays are compatible with custodial symmetry under both the spin-0 and -2 hypotheses, and that the data expected to become available during 2012 are unlikely to discriminate significantly between these possibilities.