Heavy quark potential in the static limit of QCD

Abstract

Following the procedure and motivations developed by Richardson, Buchmuller and Tye, we derive the potential of static quarks consistent with both the three-loop running of QCD coupling constant under the two-loop perturbative matching of V and MS-bar schemes and the confinement regime at long distances. Implications for the heavy quark masses as well as the quarkonium spectra and leptonic widths are discussed.

33 pages, ReVTeX file, 8 eps-figures, 6 tables; references and Comments added, version to appear in Physical Review D

References in corpus (19)

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• QCD forces and heavy quark bound states
• The three loop relation between the \bar {MS} and the pole quark masses
• Renormalization group scaling in nonrelativistic QCD
• The infrared behaviour of the static potential in perturbative QCD
• The static quark potential in three flavor QCD
• The bottom $\overline{\mathrm{MS}}$ quark mass from sum rules at next-to-next-to-leading order
• Ultrasoft Effects in Heavy-Quarkonium Physics
• The Heavy Quarkonium Spectrum at Order $m{\alpha }_s^5\ln {\alpha }_s$
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• Light Fermion Finite Mass Effects in Non-relativistic Bound States
• The $B_c$ mass up to order ${\alpha }_s^4$
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• Are there short distance non-perturbative contributions to the QCD static potential?
• The static QCD potential in coordinate space with quark masses through two loops
• Charm quark mass from QCD sum rules for the charmonium system
• Confinement and short distance physics
• Perturbative-nonperturbative interference in the static QCD interaction at small distances
• Charm Effects in the $\overline{MS}$ Bottom Quark Mass from ${\rm Y}$ Mesons

Cited by in corpus (24)

• Analytic Invariant Charge in QCD
• Mass spectra of doubly heavy Omega_QQ' baryons
• The massive analytic invariant charge in QCD
• Mass Spectra of Heavy Quarkonia and B_{c} Decay Constant for Static Scalar-Vector Interactions with Relativistic Kinematics
• Lepton flavor universality violation in semileptonic tree level weak transitions
• Non-leptonic charmless Bc decays and their search at LHCb
• A Connection Between The Perturbative QCD Potential and Phenomenological Potentials
• Heavy Pseudoscalar Leading-Twist Distribution Amplitudes within QCD Theory in Background Fields
• QQ-onia package: a numerical solution to the Schrodinger radial equation for heavy quarkonium
• Calculation of the B_{c}leptonic decay constant using the shifted N-expansion method
• Leptonic constant of pseudoscalar B_c meson
• Excited doubly heavy baryon production via $W^{+}$ boson decays
• Leptonic constants of heavy quarkonia in potential approach of NRQCD
• Next-to-next-to-leading order matching of beauty-charmed meson $B_c$ and $B_c^{\ast }$ decay constants
• Study of $B_c$$\to$$J/\psi V$ and $B_c^{\ast }$$\to$${\eta }_{c}V$ decays within the QCD factorization
• Form factors and decay rate of $B_c^{\ast }\to D_s{l}^{+}{l}^{-}$ decays in the QCD sum rules
• A nonperturbative model for the strong running coupling within potential approach
• Excited doubly heavy baryons production via top-quark decays
• The Decay constants of $B_c(nS)$ and $B_c^{\ast }(nS)$
• On the B_{c} leptonic decay constant
• The Radial Excited Heavy Mesons
• Charmless $B_c\to VV$ decays in the QCD factorization approach
• Possibility of Measuring the CP-Violation gamma-parameter in Decays of Xi_bc Baryons
• Potential Models for Radiative Rare B Decays