# Constraining Higgs boson effective couplings at electron-positron colliders

## TL;DR

This paper investigates how future electron-positron colliders can constrain Higgs boson effective couplings by analyzing angular distributions, providing insights into potential new physics beyond the Standard Model.

## Contribution

It introduces a shape analysis method on angular distributions at future colliders to set bounds on dimension-six operators affecting Higgs production.

## Key findings

- Angular observables significantly improve sensitivity to anomalous couplings.
- Constraints are tighter at higher collider energies and luminosities.
- The analysis demonstrates the potential of future colliders to probe new physics in the Higgs sector.

## Abstract

We probe the dimension-six operators contributing to Higgs production in association with a $Z$ boson at the future high-luminosity electron-positron colliders. Potential constraints on dimension-six operators in the Higgs sector are determined by performing a shape analysis on the differential angular distribution of the Higgs and $Z$ boson decay products. The analysis is performed at the center-of-mass energies of 350 and 500 GeV including a realistic detector simulation and the main sources of background processes. The 68\% and 95\% confidence level upper limits are obtained on the contributing anomalous couplings considering only the decay of the Higgs boson into a pair of $b$-quarks and leptonic $Z$ boson decay. Our results show that angular observables provide a great sensitivity to the anomalous couplings, in particular, at the high-luminosity regime.