Simulating toponium formation 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.

16 pages, 7 figures, related code available from https://github.com/BFuks/toponium; version accepted by EPJC

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• Search for heavy pseudoscalar and scalar bosons decaying to a top quark pair in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• Analytic NNLO transverse-momentum-dependent soft function for heavy quark pair hadroproduction at threshold
• Statistical Indications of Toponium Formation in Top Quark Pair Production
• Searching for the toponium ${\eta }_t$ with the ${\eta }_t$ $\to$ $W^{+}{W}^{-}$ decay
• Measurement of spin correlation and entanglement in ATLAS and CMS
• Investigating topped hadrons to probe the boundaries of the potential model
• Reconstructing Toponium using Recursive Jigsaw Reconstruction
• Impact of New Physics on Momentum-Dependent Particle Widths and Propagators
• Prospects for observing the ${\eta }_t$ $\to$ $W^{+}{W}^{-}$ decay at the HL-LHC