Complete two-loop electroweak corrections to $e^+e^-\rightarrow HZ$

TL;DR

This paper presents the first complete two-loop electroweak correction calculations for the Higgsstrahlung process $e^+e^- ightarrow HZ$, enhancing precision predictions for future Higgs factory experiments.

Contribution

It introduces a novel computational approach combining integral reduction and differential equations to evaluate two-loop electroweak corrections for four-particle processes.

Findings

High-precision correction results for various energies.

Efficient piecewise power series representation.

First complete two-loop electroweak correction for such processes.

Abstract

We compute the complete two-loop electroweak corrections to the Higgsstralung process $e^+e^-\rightarrow HZ$ at the future Higgs factory. The Feynman integrals involved in the computation are decomposed into linear combinations of a minimal set of master integrals taking advantage of the recent developments of integral reduction techniques. The master integrals are then evaluated by differential equations with boundary conditions provided by the auxiliary mass flow method. Our final result for given $\sqrt{s}$ is expressed as a piecewise function defined by several deeply expanded power series, which has high precision and can be further manipulated efficiently. Our calculation presents the first complete two-loop electroweak corrections for processes with four external particles.