Testing the Higgs sector directly in the nonrelativistic domain

TL;DR

This paper explores the potential of nonrelativistic muon-antimuon scattering near threshold to directly measure the Higgs self-coupling, including one-loop and non-perturbative effects.

Contribution

It introduces a novel approach to test the Higgs sector directly through nonrelativistic scattering processes involving Higgs pairs.

Findings

Nonrelativistic scattering enhances sensitivity to Higgs self-coupling.

One-loop corrections significantly affect the cross section.

Non-perturbative effects are important near threshold.

Abstract

Directly measuring the Higgs self-coupling is of great importance for testing the Brout-Englert-Higgs mechanism in the Standard Model. As a scattering that contains the direct information from the Higgs self-coupling, we investigate the process $\mu^-\mu^+\rightarrow HH$ in the threshold region. We calculate the one-loop corrections to the cross section and consider the non-perturbative contribution from the Higgs self-interactions in the final state. It is found that the scattering in the nonrelativistic domain could be an especial process to testing the Higgs sector directly.