One-loop off-shell decay $H^* \rightarrow ZZ$ at future colliders

TL;DR

This paper calculates one-loop off-shell Higgs decay rates to Z pairs within the Standard Model, providing precise corrections relevant for future collider experiments and analyzing specific production processes involving off-shell Higgs bosons.

Contribution

It introduces detailed one-loop formulas for off-shell Higgs decay to Z pairs and explores their implications for collider processes, a novel analysis in this context.

Findings

Decay correction ranges from 7% to 8.4% for Higgs masses 200-500 GeV

Off-shell Higgs decay processes are analyzed for future collider applications

Specific production channels involving off-shell Higgs are studied

Abstract

We present one-loop formulas for contributing to the $HZZ$ vertex in 't Hooft-Veltman gauge within Standard Model framework. One-loop off-shell Higgs decay rates to $Z$-pair are investigated in both unpolarized and longitudinal polarization for $Z$ bosons in final state. The corrections are range of $7\%$ to $8.4\%$ when we vary the off-shell Higgs mass from $200$ GeV to $500$ GeV. In applications, we study off-shell Higgs decay $H^* \rightarrow ZZ$ in the Higgs productions at future colliders such as the signal processes $\gamma^*(Q^2)\gamma \rightarrow H^* \rightarrow ZZ$ and $e^-\gamma \rightarrow e^-H^* \rightarrow e^- ZZ$ are analyzed.