Tri-photon at muon collider: a new process to probe the anomalous quartic gauge couplings

TL;DR

This paper explores the potential of muon colliders to probe anomalous quartic gauge couplings through tri-photon production, showing significantly improved constraints over current LHC results.

Contribution

It introduces the tri-photon process as a new sensitive channel for detecting aQGCs at muon colliders, with detailed projected constraints.

Findings

Constraints are about 100 times stronger than LHC at 13 TeV.

Tri-photon production is highly sensitive to aQGCs.

Muon colliders at 3 TeV can significantly improve new physics searches.

Abstract

The muon collider has recently received a great deal of attention because of its ability to achieve both high energy and high luminosity. It plays as a gauge boson collider because the vector boson scattering (VBS) becomes the dominant production topology for Standard Model processes starting from a few TeV of collision energy. In this paper, we propose that the process of $\mu^+\mu^-$ annihilation into tri-photon is also very sensitive to the search of anomalous quartic gauge couplings (aQGCs). We investigate the projected constraints on the transverse operators contributing to aQGCs through $\mu^+\mu^-\to Z^\ast/\gamma^\ast\to \gamma\gamma\gamma$ at muon colliders. For the muon collider with $\sqrt{s}=3$ TeV and $\mathcal{L}=1\;{\rm ab}^{-1}$, the expected constraints are about two orders of magnitude stronger than those at the 13 TeV LHC.