Year: 2026
Type: article
Abstract: We present a renormalon-subtracted formulation of potential nonrelativistic QCD (pNRQCD) for precision spectroscopy of heavy hadron systems, combining variational and Green's function Monte Carlo (VMC/GFMC) methods with static two- and three-body potentials through NNLO in $α_s$ (leading order in $1/m_Q$). Minimal renormalon subtraction (MRS) systematically sums leading factorially growing terms, thereby stabilizing perturbative convergence and reducing renormalization-scale dependence. We tune charm and bottom quark masses to spin-averaged $1S$ quarkonium states and predict $Ω_{ccc}$, $Ω_{ccb}$, $Ω_{cbb}$, and $Ω_{bbb}$ baryon masses, as well as QCD-stable baryons containing top quarks. NNLO MRS results undershoot lattice QCD by 125-175 MeV, a difference we attribute to contributions beyond the static perturbative potentials, including $1/m_Q$ corrections. Applying these methods to unequal-mass fully-heavy tetraquarks, we determine the critical heavy-to-light mass ratio for binding and compute binding energies across the mass-ratio landscape.
DOI: 10.1103/n6pm-nxzm
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: G2376186588, Collaborative Research: CyberTraining: Pilot: Monte Carlo General Education Network (MCGEN), Elements: Automated parametric transformations for rapid particle physics simulations, Elements: Machine Learning Quark Hadronization, G5574724152, G6471802762, RESEARCH IN PARTICLE THEORY AND EXPERIMENT AT THE UNIVERSITY OF CINCINNATI
OpenAlex ID: W7168134577