Energy correlation and asymmetry of secondary leptons in $H\to t\bar t$ and $H\to W^+W^-$

Abstract

We study the energy correlation of charged leptons produced in the decay of a heavy Higgs particle $H\to t\bar t\to bl^+ν_l\bar bl^-\barν_l$ and $H\to W^+W^-\to l^+ν_ll^-\barν_l.$ The possible influence of $CP$--violation in the $Ht\bar t$ and $HW^+W^-$ vertices on the energy spectrum of the secondary leptons is analyzed. The energy distribution of the charged leptons in the decay $H\to W^+W^-\to l^+ν_ll^-\barν_l$ is sensitive to the $CP$--parity of the Higgs particle and yields a simple criterion for distinguishing scalar Higgs from pseudoscalar Higgs.