Quark-antiquark potential to order 1/m and heavy quark masses

Abstract

An updated heavy quark-antiquark potential is constructed by matching the short-distance perturbative part to long-distance lattice QCD results at an intermediate r scale. The static potential and the order 1/m potential are both analyzed in this way. Effects if order 1/m in charmonium and bottomonium spectra are discussed in comparison. Charm and bottom quark masses are deduced from the spectra and related to the quark masses of other schemes.

arXiv comment15 pages, 12 figures; v2: minor changes and clarifications

References in corpus (24)

• The four-loop beta-function in Quantum Chromodynamics
• The three loop relation between the \bar {MS} and the pole quark masses
• The Nf=0 heavy quark potential from short to intermediate distances
• The static potential in QCD to two loops
• Strong Coupling Constant with Flavour Thresholds at Four Loops in the MS-bar Scheme
• The 2009 World Average of ${\alpha }_s$
• A quark mass definition adequate for threshold problems
• The relation between the $\overline{\mathrm{MS}}$ and the on-shell quark mass at order ${\alpha }_s^3$
• The static quark-antiquark potential in QCD to three loops
• Static potentials and glueball masses from QCD simulations with Wilson sea quarks
• Three-loop static potential
• The infrared behaviour of the static potential in perturbative QCD
• The static potential in QCD - a full Two-Loop Calculation
• Short Distance Mass of a Heavy Quark at Order α_s^3
• Static QCD potential at three-loop order
• Nonperturbative determination of the QCD potential at O(1/m)
• The QCD Potential at $O(1/m)$
• Potential NRQCD and Heavy-Quarkonium Spectrum at Next-to-Next-to-Next-to-Leading Order
• Spin-dependent potentials from lattice QCD
• Quarkonia and the Pole Mass
• The static potential: lattice versus perturbation theory in a renormalon-based approach
• The QCD static energy at NNNLL
• Precision determination of r_0Lambda_MS from the QCD static energy
• Effective string theory constraints on the long distance behavior of the subleading potentials

Cited by in corpus (18)

• Model-independent Study of Magnetic Dipole Transitions in Quarkonium
• A first estimate of triply heavy baryon masses from the pNRQCD perturbative static potential
• Determination of ${\Lambda }_{\overline{\text{MS}}}^{(n_f=2)}$ and analytic parameterization of the static quark-antiquark potential
• Calculation of binding energies and masses of quarkonia in analytic QCD models
• Model-independent Study of Electric Dipole Transitions in Quarkonium
• ${\Lambda }_{\overline{\text{MS}}}^{(n_f=2)}$ from a momentum space analysis of the quark-antiquark static potential
• The b-quark mass from non-perturbative $N_f=2$ Heavy Quark Effective Theory at $O(1/m_h)$
• The mass of the b-quark from lattice NRQCD and lattice perturbation theory
• Determination of the charm-quark mass in the MS-bar scheme using charm production data from deep inelastic scattering at HERA
• $\overline{\mathrm{MS}}$ renormalization of $S$-wave quarkonium wavefunctions at the origin
• Charmonium potentials: Matching perturbative and lattice QCD
• Renormalization approach to constituent quark models of Quarkonium
• $m_b$ at $m_H$: the running bottom quark mass and the Higgs boson
• Current Topics in Heavy Quarkonium Physics
• Spectra and Decay Properties of Higher Lying $B_C$ Meson States
• Charm quark mass determined from a pair of sum rules
• Bottom Quark Mass with Calibrated Uncertainty
• Beauty Hadron Spectrum in a Screened Potential Model