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

TL;DR

This paper investigates how anomalous Higgs self-couplings and gauge couplings affect the decay width of a specific Higgs decay process, highlighting significant sensitivity to the $HHH$ coupling within the $$-framework.

Contribution

It provides a detailed analysis of electroweak corrections to Higgs decay, focusing on the impact of anomalous $HHH$ and $ZZHH$ couplings using the $$-framework, which is a novel approach.

Findings

Decay width is significantly affected by $HHH$ coupling.

Dependence on $ZZHH$ coupling is marginal.

Discusses the influence of $ZZWW$ coupling on decay width.

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 $H\rightarrow \nu_e\bar{\nu}_e\nu_\mu\bar{\nu}_\mu$. 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.