Orateur
Description
Precision perturbative spectroscopy of heavy hadrons is limited by the leading
infrared renormalon of the static potential, which drives factorial growth in the
perturbative series and leaves a large residual dependence on the renormalization
scale. We present a renormalon-subtracted formulation of potential nonrelativistic
QCD, combining variational and Green's-function Monte Carlo methods with NNLO static
two- and three-body potentials. Minimal renormalon subtraction (MRS) systematically
resums the leading factorially growing terms, stabilising perturbative convergence
and markedly reducing scale dependence.
Tuning the charm and bottom quark masses to the spin-averaged 1S quarkonium states,
we predict the masses of the triply-heavy baryons $\Omega_{ccc}$, $\Omega_{ccb}$, $\Omega_{cbb}$ and
Omega_bbb, together with QCD-stable baryons containing top quarks. Our NNLO MRS
results undershoot lattice QCD determinations by 125-175 MeV, with the fractional
difference decreasing as $1/m_Q$ - the pattern expected from the neglected $\mathcal{O}(1/m_Q)$
corrections, which makes the deficit a controlled feature of the truncation rather
than an anomaly.
Extending the framework to unequal-mass fully-heavy tetraquarks, we determine the
critical heavy-to-light mass ratio required for binding and map binding energies
across the mass-ratio landscape, with direct bearing on the fully-heavy exotic
candidates reported at the LHC. Based on arXiv:2607.08817.
| Working Group | WG4. QCD models and non-perturbative QCD |
|---|---|
| Type of oral contribution | Theory |