Muon collider probes of the gluonic quartic gauge couplings

TL;DR

This paper demonstrates that future high-energy muon colliders can effectively probe dimension-8 gluonic quartic gauge couplings, surpassing current bounds and providing insights into new physics scales through detailed simulations.

Contribution

It introduces a novel analysis of muon collider sensitivity to gQGCs via the $^{+}^{-} o gg\u03b3$ process, including event simulation, optimization, and theoretical positivity bounds.

Findings

Muon colliders can probe multi-TeV scales of gQGCs.

Projected sensitivities surpass current LHC bounds.

Positivity bounds constrain Wilson coefficients.

Abstract

We investigate the dimension-8 gluonic quartic gauge couplings (gQGCs) at future high-energy muon colliders through the process $\mu^{+}\mu^{-}\!\to gg\gamma$. Using detailed event simulation and optimized kinematic selections, we derive projected sensitivities to the Wilson coefficients and their associated new-physics scales, showing that muon colliders can probe deep into the multi-TeV regime and significantly surpass current LHC bounds. We further present the positivity bounds on those Wilson coefficients, as theoretical constraints from the fundamental principles of quantum field theory. Our results establish $\mu^{+}\mu^{-}\!\to gg\gamma$ as one of the most sensitive probes of dimension-8 new physics at future muon colliders.