Analysis of anomalous $H\gamma\gamma$ coupling in light-by-light collision at future muon collider

TL;DR

This paper investigates the potential of future high-energy muon colliders to constrain anomalous Higgs couplings via light-by-light scattering, using SMEFT framework and detailed simulations to improve existing bounds.

Contribution

It provides the first detailed analysis of anomalous $H o ext{photon}$ couplings at a muon collider using SMEFT and realistic detector simulations.

Findings

Constraints on Wilson coefficients $ar{c}_ ext{gamma}$ and $ ilde{c}_ ext{gamma}$ are significantly improved.

Future muon colliders at 10 and 30 TeV can set stringent bounds on Higgs-photon couplings.

The study demonstrates the collider's potential to probe new physics beyond current experimental limits.

Abstract

In this study, the process $\gamma\gamma \to \gamma\gamma$ is investigated to establish constraints on anomalous Higgs boson couplings at $H\gamma\gamma$ vertice within the framework of the Standard Model Effective Field Theory (SMEFT). The study is performed for a future muon collider operating at CoM energies of 10 and 30 TeV with integrated luminosities of 10 and 90 ab$^{-1}$, respectively, where the incoming photons are modeled using the Weizs\"acker-Williams approximation. Signal and background events are simulated using MadGraph, with the SMEFT Lagrangian implemented via FeynRules and UFO frameworks. Parton showering is evaluated with PYTHIA 8, and detector effects are accounted for using Delphes. Limits on the Wilson coefficients $\bar{c}_\gamma$ and $\tilde{c}_\gamma$ of the dim-6 operators are reported at the 95% confidence level, demonstrating the potential of a high-energy muon collider to provide precise constraints on these couplings and presenting a significant improvement over experimental and related phenomenological results.