Effect of anomalous $HHH$ and $ZZHH$ couplings on the decay width of $H\to {\nu }_e{\bar{\nu }}_e{\nu }_{\mu }{\bar{\nu }}_{\mu }$

Abstract

Despite the discovery of the Higgs boson, the Higgs sector of the standard model is still not fully established. In particular, the self couplings of the Higgs boson, and its couplings with gauge bosons, are still to be fully determined. We consider electroweak corrections to the process $H\to {\nu }_e{\bar{\nu }}_e{\nu }_{\mu }{\bar{\nu }}_{\mu }$. The corrections depend on the $HHH$ and $ZZHH$ couplings. We investigate this dependence in $\kappa$-framework. We find that the width depends on $HHH$ coupling significantly. The dependence on $ZZHH$ coupling is only marginal. We also discuss the dependence on $ZZWW$ coupling.