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Current experiments do not support, as ATLAS and CMS collaborations at theLarge Hadron Collider reported, that the Higgs-like resonance discovered inJuly 2012 is a pure CP-odd state. We examine a general $hZZ$ vertex whichcontains CP-even and CP-odd couplings, by studying the process $h\to ZZ^*\tol_1^+l_1^-l_2^+l_2^-$ with $l_1,\, l_2= e$ or $\mu$, to explore the CP mixedproperty of the Higgs-like particle. One momentum asymmetry and two angularasymmetries have been analyzed in order to reveal the difference from differentCP-couplings. Our study shows that these asymmetries could be interestingobservables in the future precise experiments.

CP mixed property of the Higgs-like particle in the decay channel $h\to Z Z^*\to 4l$