Entanglement and Bell inequalities violation in $$H\rightarrow ZZ$$ with anomalous coupling

Abstract

AbstractWe discuss entanglement and violation of Bell-type inequalities for a system of twoZbosons produced in Higgs decays. We take into account beyond the Standard Model (anomalous) coupling betweenHand daughter bosons but we limit ourselves to an overall scalarZZstate (we exclude the possibility thatHcontains a pseudo-scalar component). In particular we consider the case when eachZdecays further into fermion-antifermion pair. We find that theZZstate is entangled and violates the CGLMP inequality for all values of the (anomalous) coupling constant. We also discuss the impact of a background on these results. The methods we develop are completely general, since they can be extrapolated to any scalar particle decaying into two spin-1 particles of different masses. Moreover, the violation of the CGLMP inequality in the final state is theoretically ensured for any value of the couplings.