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We investigate rare decays of Higgs via exchange of two almost degenerateheavy on-shell Majorana neutrinos $N_j$ ($j=1,2$): $\Gamma_{\pm} = \Gamma(h \to\nu_k N_j \to \nu_k \ell^{\pm} \pi^{\mp})$, and into the open quark channels$\Gamma_{\pm} = \Gamma(h \to \nu_k N_j \to \nu_k \ell^{\pm} U D)$, where $U D$are two jets of open quarks (${\bar U} D$, or $U {\bar D}$, where $U=u, c$ and$D=d, s$). The related CP violation asymmetry $A_{\rm CP} = (\Gamma_{-} -\Gamma_{+})/(\Gamma_{-} + \Gamma_{+})$ is studied in detail. We take intoaccount the $N_1$-$N_2$ overlap and oscillation effects. We can see that forcertain, presently acceptable, range of input parameters, such decays with openquark channels, and their asymmetries, could be detected in the InternationalLinear Collider (ILC).

the journal of high energy physics/the journal of high energy physics

CP violation in the rare Higgs decays via exchange of on-shell almost  degenerate Majorana neutrinos, $H \to \nu_k N_j \to \nu_k \ell^{-} U {\bar  D}$ and $H \to \nu_k N_j \to \nu_k \ell^{+} {\bar U} D$