Hyperasymptotic Expansions in QCD: The Lightest Gluelump Mass Case

Abstract

In these proceedings, we provide a summary of our recent advancements in determining the mass of the lightest gluelump using hyperasymptotic expansions in Quantum Chromodynamics (QCD) \cite{Ayala2025}. This paper details our methodology, our precise determination of leading renormalon normalization constants, and our extraction of the gluelump mass from two independent physical systems, yielding a final combined, renormalization-group-invariant and scheme-independent result of $\Lambda_{B}^{\rm PV} = 2.44(7) r_0^{-1}$.