The infrared behaviour of the static potential in perturbative QCD

Abstract

The definition of the quark-antiquark static potential is given within an effective field theory framework. The leading infrared divergences of the static singlet potential in perturbation theory are explicitly calculated.

4 pages, 2 postscript figures, uses revtex.sty

Cited by in corpus (153)

• The $XYZ$ states: experimental and theoretical status and perspectives
• FLAG Review 2019
• Effective field theories for heavy quarkonium
• QCD forces and heavy quark bound states
• FLAG Review 2021
• Charmonium
• The Effective Field Theorist's Approach to Gravitational Dynamics
• Static quark-antiquark pairs at finite temperature
• The Zero-Bin and Mode Factorization in Quantum Field Theory
• The QCD Running Coupling
• Three-loop static potential
• 50 Years of Quantum Chromodynamics
• Static QCD potential at three-loop order
• Effective Field Theory Lagrangians for Baryons with Two and Three Heavy Quarks
• Quirky Composite Dark Matter
• The QCD Potential at $O(1/m)$
• On the running coupling constant in QCD
• QCD phenomenology of static sources and gluonic excitations at short distances
• The tail effect in gravitational radiation-reaction: time non-locality and renormalization group evolution
• Potential NRQCD and Heavy-Quarkonium Spectrum at Next-to-Next-to-Next-to-Leading Order
• Infrared Renormalization Group Flow for Heavy Quark Masses
• Ultrasoft Effects in Heavy-Quarkonium Physics
• Fermionic contributions to the three-loop static potential
• The QCD potential at O(1/m^2): Complete spin-dependent and spin-independent result
• Snowmass 2021 whitepaper: Proton structure at the precision frontier
• Third-order Coulomb corrections to the S-wave Green function, energy levels and wave functions at the origin
• Determination of alpha_s from the QCD static energy
• The Renormalization Group Improvement of the QCD Static Potentials
• Determination of alpha_s from the QCD static energy: an update
• Quarkonium spectroscopy and perturbative QCD: massive quark-loop effects
• Heavy Quark Pair Production near Threshold with Potential Non-Relativistic QCD
• Review of Heavy Quarkonium at weak coupling
• 1S and MSbar Bottom Quark Masses from Upsilon Sum Rules
• Inclusive Decays of Heavy Quarkonium to Light Particles
• Dimension two condensates and the Polyakov loop above the deconfinement phase transition
• The static potential: lattice versus perturbation theory in a renormalon-based approach
• Testing perturbation theory on the nf=0 static quark potential
• FLAG Review 2024
• The QCD static energy at NNNLL
• Color screening in (2+1)-flavor QCD
• Poincare' invariance constraints on NRQCD and potential NRQCD
• The Born-Oppenheimer approximation in an effective field theory language
• The logarithmic contribution to the QCD static energy at NNNNLO
• Renormalization group improvement of the NRQCD Lagrangian and heavy quarkonium spectrum
• Polyakov loop and correlator of Polyakov loops at next-to-next-to-leading order
• The bottom quark mass from the ${\rm Y}(1S)$ system at NNNLO
• Perturbative expansion of the energy of static sources at large orders in four-dimensional SU(3) gauge theory
• Compelling evidence of renormalons in QCD from high order perturbative expansions
• Heavy Quarkonium Spectrum and Production/Annihilation Rates to order ${\beta }_0^3{\alpha }_s^3$
• The QCD heavy-quark potential to order v^2: one loop matching conditions
• Determination of the Static Potential with Dynamical Fermions
• Precision determination of r_0Lambda_MS from the QCD static energy
• Determination of the QCD coupling from the static energy and the free energy
• Running of the heavy quark production current and 1/k potential in QCD
• Next-to-leading-log renormalization-group running in heavy-quarkonium creation and annihilation
• Relativistic Many-Body Hamiltonian Approach to Mesons
• The static QCD potential in coordinate space with quark masses through two loops
• Power corrections in the quark-antiquark potential at finite temperature
• A first estimate of triply heavy baryon masses from the pNRQCD perturbative static potential
• Order alpha_s^3 ln^2(1/alpha_s) Corrections to Heavy-Quarkonium Creation and Annihilation
• Improved determination of Heavy Quarkonium magnetic dipole transitions in pNRQCD
• Two-Loop Static QCD Potential for General Colour State
• Analytic three-loop static potential
• The three-quark static potential in perturbation theory
• Relativistic effects in the production of pseudoscalar and vector doubly heavy mesons from e^+e^- annihilation
• Electroweak non-resonant NLO corrections to e+ e- -> W+ W- b bbar in the t tbar resonance region
• Bottom and Charm Mass determinations from global fits to $Q\bar{Q}$ bound states at N${}^3$LO
• The Running Coulomb Potential and Lamb Shift in QCD
• RG/Pade Estimate of the Three-Loop Contribution to the QCD Static Potential Function
• Surviving the renormalon in heavy quark potential
• Static QCD Potential at r < 1/Lambda_QCD: Perturbative expansion and operator-product expansion
• Violation of Casimir Scaling for Static QCD Potential at Three-loop Order
• One Born$-$Oppenheimer Effective Theory to rule them all: hybrids, tetraquarks, pentaquarks, doubly heavy baryons and quarkonium
• The $\sqrt{mΛ_{QCD}$ scale in heavy quarkonium
• Relations between Heavy-light Meson and Quark Masses
• Fourth-order QCD renormalization group quantities in the {\rm{V}}-scheme and the relation of the $\beta$-function to the Gell-Mann--Low function in QED
• Calibrating the Naïve Cornell Model with NRQCD
• Heavy quark potential in the static limit of QCD
• Improved determination of inclusive electromagnetic decay ratios of heavy quarkonium from QCD
• Calculation of binding energies and masses of quarkonia in analytic QCD models
• Determination of ${\Lambda }_{\overline{\text{MS}}}^{(n_f=2)}$ and analytic parameterization of the static quark-antiquark potential
• Third-order correction to top-quark pair production near threshold I. Effective theory set-up and matching coefficients
• Gluinonia: Energy Levels, Production and Decay
• The static potential in {\cal N}=4 supersymmetric Yang-Mills at weak coupling
• ${\Lambda }_{\overline{\text{MS}}}^{(n_f=2)}$ from a momentum space analysis of the quark-antiquark static potential
• Determination of ${\alpha }_s$ from static QCD potential with renormalon subtraction
• Quark-antiquark potential to order 1/m and heavy quark masses
• Potential NRQCD for unequal masses and the $B_c$ spectrum at NNNLO
• P-wave heavy quarkonium spectrum with next-to-next-to-next-to-leading logarithmic accuracy
• QCD Effective Coupling in the Infrared Region
• Lattice determinations of the strong coupling
• $\overline{\mathrm{MS}}$ renormalization of $S$-wave quarkonium wavefunctions at the origin
• Symmetries of the Three Heavy-Quark System and the Color-Singlet Static Energy at NNLL
• Lattice gauge theory computation of the static force
• Relativistic effects in the processes of heavy quark fragmentation
• The renormalization group for correlated scales: one-stage versus two-stage running
• 2-loop QCD corrections to Bc-meson leptonic constant
• Ultrasoft NLL Running of the Nonrelativistic O(v) QCD Quark Potential
• Effective Field Theories for Heavy Quarkonium
• Strong coupling constant and quark masses from lattice QCD
• Color Screening in Quantum Chromodynamics
• The static hybrid potential in D dimensions at short distances
• Novel implementation of the multipole expansion to quarkonium hadronic transitions
• Next-to-leading ultrasoft running of the heavy quarkonium potentials and spectrum: Spin-independent case
• ${\chi }_{cJ}\to e^{+}{e}^{-}$ decays revisited
• Electric dipole transitions of $1P$ bottomonia
• Calculation of the B_{c}leptonic decay constant using the shifted N-expansion method
• The QCD Static Energy using Optimal Renormalization and Asymptotic Padé-approximant Methods
• Overview of Non-Relativistic QCD
• Review on the determination of alpha_s from the QCD static energy
• Two-Loop Ultrasoft Running of the O(v^2) QCD Quark Potentials
• "Coulomb+linear" form of the static QCD potential in operator-product-expansion
• Static Energy in ($2+1+1$)-Flavor Lattice QCD: Scale Setting and Charm Effects
• Colour octet potential to three loops
• QCD Static Force in Gradient Flow
• The Structure of the QCD Potential in 2+1 Dimensions
• Gravity duals for the Coulomb branch of marginally deformed N=4 Yang-Mills
• Calculations of binding energies and masses of heavy quarkonia using renormalon cancellation
• The QCD static potential in D<4 dimensions at weak coupling
• Estimate of the three-loop contribution to the QCD static potential from renormalon cancellation
• The shape of the static potential with dynamical fermions
• Chiral Symmetry Breaking with Scalar Confinement
• Renormalon subtraction in OPE using Fourier transform: Formulation and application to various observables
• Formulation for renormalon-free perturbative predictions beyond large-${\beta }_0$ approximation
• $P$-wave quarkonium wavefunctions at the origin in the $\overline{\mathrm{MS}}$ scheme
• A low-energy determination of ${\alpha }_s$ at three loops
• Relativistic corrections to the static energy in terms of Wilson loops at weak coupling
• Chiral Perturbation Theory Reflections on Effective Theories of the Standard Model
• QCD cusp anomalous dimension: current status
• New method for renormalon subtraction using Fourier transform
• On renormalons of static QCD potential at $u=1/2$ and $3/2$
• Manifestly Soft Gauge Invariant Formulation of vNRQCD
• Effective Field Theories of QCD for Heavy Quarkonia at Finite Temperature
• The QCD static potential in 2+1 dimensions at weak coupling
• Static force from generalized Wilson loops on the lattice using the gradient flow
• Determination of $|V_{cb}|$ using N${}^3$LO perturbative corrections to $\Gamma (B\to X_c\ell \nu )$ and 1S masses
• Renormalon free part of an ultrasoft correction to the static QCD potential
• Renormalon Subtraction in OPE by Dual Space Approach: Nonlinear Sigma Model and QCD
• Estimate of 4-loop Pole-MSbar Mass Relation from Static QCD Potential
• pNRQCD determination of E1 radiative transitions
• A Study of Power Suppressed Contributions in $J/\psi \to p\bar{p}$ Decay
• Overview of charmonium decays and production from Non-Relativistic QCD
• Radiative decays ${\chi }_{cJ}\to V\gamma$ within the QCD factorisation framework
• Renormalons in static QCD potential: review and some updates
• QCD static force in gradient flow
• Exclusive decays ${\chi }_{cJ}\to K^{\ast }(892)K$ within the effective field theory framework
• Baryon-baryon, meson-meson, and meson-baryon interactions in nonrelativistic QCD
• Gauge dependence and matching procedure of a nonrelativistic QED/QCD boundstate formalism
• Hadronic and radiative decays of the tau lepton
• The Relativistic Schrödinger Equation through FFTW3: An Extension of quantumfdtd
• Determination of the b-mass using renormalon cancellation
• Wilson loops with neural networks
• Applications of Nonrelativistic Effective Field Theories to quarkonium systems with a small radius