Simulating toponium formation signals at the LHC

TL;DR

This paper introduces a novel simulation method for toponium formation at the LHC using non-relativistic QCD Green's functions, enabling detailed studies of top-antitop bound states in collider experiments.

Contribution

It develops a Green's function-based approach to simulate toponium formation, allowing re-weighting of matrix elements for top-antitop production and decay processes at the LHC.

Findings

Demonstrated the method with $ ext{η}_t$ toponium in gluon fusion

Integrated the Green's function approach with parton showering

Provided a framework for studying toponium signals at the LHC

Abstract

We present a method to simulate toponium formation events at the LHC using the Green's function of non-relativistic QCD in the Coulomb gauge, which governs the momentum distribution of top quarks in the presence of the QCD potential. This Green's function can be employed to re-weight any matrix elements relevant for $t\bar{t}$ production and decay processes where a colour-singlet top-antitop pair is produced in the $S$-wave at threshold. As an example, we study the formation of $\eta_t$ toponium states in the gluon fusion channel at the LHC, combining the re-weighted matrix elements with parton showering.