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ZhETF, Vol. 149, No. 4, p. 770 (April 2016)
(English translation - JETP, Vol. 122, No. 4, p. 663, April 2016 available online at )

Decays of a neutral particle with zero spin and arbitrary CP parity into two off-mass-shell Z bosons
Zagoskin T.V., Korchin A.Yu.

Received: May 16, 2015

DOI: 10.7868/S0044451016040052

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We investigate effects of CP symmetry violation in the decay of a scalar particle X (the Higgs boson) into two off-mass-shell Z bosons both decaying into a fermion-antifermion pair, X \rightarrow Z_1^*Z_2^* \rightarrow f_1 \overline {f}_1 f_2 \overline {f}_2. The most general form of the amplitude of the transition X \rightarrow Z_1^* Z_2^*, wherein the boson X may not have definite CP parity, is considered. The applicability limits of the narrow-Z-width approximation used in obtaining differential widths of the decay under consideration are determined. Various observables connected with the structure of the amplitude of the decay X \rightarrow Z_1^* Z_2^* are studied. These observables are analyzed in the Standard Model as well as in models conceding indefinite CP parity of the Higgs boson. An experimental measurement of angular and invariant mass distributions of the decay X \rightarrow Z_1^* Z_2^* \rightarrow f_1 \overline {f}_1 f_2 \overline {f}_2 at the LHC can give information about the CP properties of the Higgs boson and its interaction with the Z boson.

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