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arXiv · 2607.08817

Renormalon subtracted nonrelativistic QCD for heavy hadron systems

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 NNLO static two- and three-body potentials. 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 $\Omega_{ccc}$, $\Omega_{ccb}$, $\Omega_{cbb}$, and $\Omega_{bbb}$ baryon masses, as well as QCD-stable baryons containing top quarks. NNLO MRS results undershoot lattice QCD by 125--175~MeV, with fractional differences decreasing as $\sim 1/m_Q$, consistent with neglected $\mathcal{O}(1/m_Q)$ 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.

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Benoît Assi, Andreas S. Kronfeld, Simon Vaiva, Michael L. Wagman. 2026-07-09. Renormalon subtracted nonrelativistic QCD for heavy hadron systems. https://arxiv.org/abs/2607.08817

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