Journal of Physics G: Nuclear and Particle Physics, cilt.52, sa.1, 2025 (SCI-Expanded)
The sensitivity to anomalous quartic gauge couplings (AQGCs) of the γγγZ interaction is studied in the μ+μ− → μ+γγμ− scattering at a future muon collider with unpolarized beams. The anomalous γγγZ vertex is described by two couplings, ζ1 and ζ2. The differential and total cross sections are calculated for the center-of-mass energies of 3 TeV, 14 TeV, and 100 TeV. For these values of the collision energy the 95% C.L. exclusion regions for AQGCs are obtained depending on the systematic error. In particular, for the 14 TeV muon collider with the integrated luminosity L = 20 ab−1 the best sensitivities are derived to be ζ1 = 3.1 × 10−5 TeV−4 and ζ2 = 6.5 ×10−5 TeV−4. These constraints are three orders of magnitude stronger than the bounds obtained for the 27 TeV HE-LHC with L = 15 ab−1. At the 100 TeV muon collider with L = 1000 ab−1 AQGCs can be probed up to 1.64 × 10−8 TeV−4 and 3.4 × 10−8 TeV−4 for ζ1 and ζ2, respectively. The partial-wave unitarity constraints on couplings ζ1, ζ2 are evaluated. It is shown that the unitarity is not violated in the region of the AQGCs examined in the present paper.