Static QCD potential at three-loop order
arXiv:0911.4335 · doi:10.1103/PhysRevLett.104.112003
Abstract
We compute the purely gluonic contribution to the static QCD potential at three--loop order. This completes the computation of the static potential at this order.
4 pages, 2 figures
References in corpus (5)
- Three-loop static potential
- Fermionic contributions to the three-loop static potential
- Ultrasoft contribution to quarkonium production and annihilation
- Ultrasoft contribution to heavy-quark pair production near threshold
- Completely automated computation of the heavy-fermion corrections to the three-loop matching coefficient of the vector current
Cited by in corpus (139)
- Heavy quarkonium: progress, puzzles, and opportunities
- The states: experimental and theoretical status and perspectives
- FLAG Review 2019
- FLAG Review 2021
- QCD and strongly coupled gauge theories: challenges and perspectives
- The QCD Running Coupling
- Quark mass relations to four-loop order
- Three-loop static potential
- 50 Years of Quantum Chromodynamics
- Nonperturbative QCD Coupling and its function from Light-Front Holography
- Systematic Scale-Setting to All Orders: The Principle of Maximum Conformality and Commensurate Scale Relations
- Heavy Quarkonium in a weakly-coupled quark-gluon plasma below the melting temperature
- Quarkonium Hybrids with Nonrelativistic Effective Field Theories
- Next-to-next-to-next-to-leading order QCD prediction for the top anti-top S-wave pair production cross section near threshold in e+ e- annihilation
- Snowmass 2021 whitepaper: Proton structure at the precision frontier
- The three-loop cusp anomalous dimension in QCD and its supersymmetric extensions
- Five-Loop Static Contribution to the Gravitational Interaction Potential of Two Point Masses
- Determination of alpha_s from the QCD static energy
- Determination of alpha_s from the QCD static energy: an update
- Review of Heavy Quarkonium at weak coupling
- FLAG Review 2024
- Polyakov loop and correlator of Polyakov loops at next-to-next-to-leading order
- The bottom-quark mass from non-relativistic sum rules at NNNLO
- The bottom quark mass from the system at NNNLO
- QCD Running Couplings and Effective Charges
- Determination of the Static Potential with Dynamical Fermions
- Determination of the QCD coupling from the static energy and the free energy
- Precision determination of r_0Lambda_MS from the QCD static energy
- Determination of the top quark mass circa 2013: methods, subtleties, perspectives
- The Top-Antitop Threshold at the ILC: NNLL QCD Uncertainties
- Improved determination of Heavy Quarkonium magnetic dipole transitions in pNRQCD
- Matter dependence of the four-loop QCD cusp anomalous dimension: from small angles to all angles
- Analytic three-loop static potential
- Three-loop matching of the vector current
- The charm/bottom quark mass from heavy quarkonium at NLO
- On the Casimir scaling violation in the cusp anomalous dimension at small angle
- Electroweak non-resonant NLO corrections to e+ e- -> W+ W- b bbar in the t tbar resonance region
- The MSR Mass and the Renormalon Sum Rule
- Bottom and Charm Mass determinations from global fits to bound states at NLO
- The Dimensional Recurrence and Analyticity Method for Multicomponent Master Integrals: Using Unitarity Cuts to Construct Homogeneous Solutions
- Lambda_msbar from the static potential for QCD with n_f=2 dynamical quark flavors
- Non-resonant and electroweak NNLO correction to the top anti-top threshold
- Phase Space Matching and Finite Lifetime Effects for Top-Pair Production Close to Threshold
- Violation of Casimir Scaling for Static QCD Potential at Three-loop Order
- One BornOppenheimer Effective Theory to rule them all: hybrids, tetraquarks, pentaquarks, doubly heavy baryons and quarkonium
- Perturbative heavy quarkonium spectrum at next-to-next-to-next-to-leading order
- Full Formula for Heavy Quarkonium Energy Levels at Next-to-next-to-next-to-leading Order
- Gluino Pair Production at the LHC: The Threshold
- Fourth-order QCD renormalization group quantities in the {\rm{V}}-scheme and the relation of the -function to the Gell-Mann--Low function in QED
- Calibrating the Naïve Cornell Model with NRQCD
- Improved determination of inclusive electromagnetic decay ratios of heavy quarkonium from QCD
- Bottom Quark Mass from Sum Rules to
- Third-order correction to top-quark pair production near threshold I. Effective theory set-up and matching coefficients
- Calculation of binding energies and masses of quarkonia in analytic QCD models
- Determination of and analytic parameterization of the static quark-antiquark potential
- from a momentum space analysis of the quark-antiquark static potential
- Pole mass renormalon and its ramifications
- Threshold production of unstable top
- REvolver: Automated running and matching of couplings and masses in QCD
- Determination of and from quarkonium 1S energy levels in perturbative QCD
- Determination of 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 spectrum at NNNLO
- Correlations between perturbation theory and power corrections in QCD at zero and finite temperature
- P-wave heavy quarkonium spectrum with next-to-next-to-next-to-leading logarithmic accuracy
- The one loop MSbar static potential in the Gribov-Zwanziger Lagrangian
- Dimensional recurrence relations: an easy way to evaluate higher orders of expansion in
- Lattice determinations of the strong coupling
- renormalization of -wave quarkonium wavefunctions at the origin
- Strong IR Cancellation in Heavy Quarkonium and Precise Top Mass Determination
- Lattice gauge theory computation of the static force
- Mass of the bottom quark from Upsilon(1S) at NNNLO: an update
- Strong coupling constant and quark masses from lattice QCD
- Ultrasoft NLL Running of the Nonrelativistic O(v) QCD Quark Potential
- Next-to-leading ultrasoft running of the heavy quarkonium potentials and spectrum: Spin-independent case
- SU(3) Yang Mills theory at small distances and fine lattices
- First Forcer results on deep-inelastic scattering and related quantities
- Novel implementation of the multipole expansion to quarkonium hadronic transitions
- Electric dipole transitions of bottomonia
- Review on the determination of alpha_s from the QCD static energy
- The QCD Static Energy using Optimal Renormalization and Asymptotic Padé-approximant Methods
- The spin-orbit potential and Poincaré invariance in finite temperature pNRQCD
- Static Energy in ()-Flavor Lattice QCD: Scale Setting and Charm Effects
- Colour octet potential to three loops
- Instanton effects on the heavy-quark static potential
- QCD Static Force in Gradient Flow
- Loop calculations in the three dimensional Gribov-Zwanziger Lagrangian
- Renormalization approach to constituent quark models of Quarkonium
- Algorithms to Evaluate Multiple Sums for Loop Computations
- Renormalization group improved pQCD prediction for leptonic decay
- Subtracting IR Renormalons from Wilson Coefficients: Uniqueness and power dependences on
- The shape of the static potential with dynamical fermions
- The QCD static potential in D<4 dimensions at weak coupling
- Instanton effects on charmonium states
- Making confining strings out of mesons
- Formulation for renormalon-free perturbative predictions beyond large- approximation
- Higher-order condensate corrections to masses, leptonic decay rates and sum rules
- -wave quarkonium wavefunctions at the origin in the scheme
- Renormalization Scale Setting for Heavy Quark Pair Production in Annihilation near the Threshold Region
- Relativistic corrections to the static energy in terms of Wilson loops at weak coupling
- Effective Field Theories of QCD for Heavy Quarkonia at Finite Temperature
- QCD cusp anomalous dimension: current status
- Manifestly Soft Gauge Invariant Formulation of vNRQCD
- The static quark potential to three loops in perturbation theory
- A low-energy determination of at three loops
- Chiral Perturbation Theory Reflections on Effective Theories of the Standard Model
- On renormalons of static QCD potential at and
- Heavy quark and gluino potentials to two loops
- Full result for the three-loop static quark potential
- The QCD static potential in 2+1 dimensions at weak coupling
- Renormalon free part of an ultrasoft correction to the static QCD potential
- From perturbative calculations of the QCD static potential towards four-loop pole-running heavy quarks masses relation
- Reanalysis of the top-quark pair production via the annihilation near the threshold region up to NLO QCD corrections
- Gluons, Light and Heavy Quarks in the Instanton Vacuum
- Static force from generalized Wilson loops on the lattice using the gradient flow
- Evaluating the last missing ingredient for the three-loop quark static potential by differential equations
- Strong coupling and quark masses from lattice QCD
- Self-consistent analysis for the process
- Estimate of 4-loop Pole-MSbar Mass Relation from Static QCD Potential
- Elimination of QCD Renormalization Scale and Scheme Ambiguities
- pNRQCD determination of E1 radiative transitions
- Overview of charmonium decays and production from Non-Relativistic QCD
- Quark-antiquark static energy from a restricted Fourier transform
- Non-relativistic high-energy physics: top production and dark matter annihilation
- Renormalons in static QCD potential: review and some updates
- Introduction to effective field theories. 3. Bloch--Nordsieck effective theory, HQET
- alpha_s from the static energy in QCD
- Brief review of the theory of the muonic hydrogen Lamb shift and the proton radius
- Nonrelativistic effective field theory of unstable top
- Determination of HQET nonperturbative matrix elements with renormalon subtraction using Fourier transform
- QCD static force in gradient flow
- A reanalysis of event shape distributions in electron-positron annihilation
- The determination of potential scales in 2+1 flavor QCD
- Non-Markovian dynamics of bottomonia in the QGP
- Perturbative static quark potential in Maximal Abelian gauge
- Determination of the strong coupling alpha_s from the QCD static energy
- Renormalisation
- Determining alpha_s from the hyperfine splitting mUpsilon(1S)-mEta(b)
- Low-energy constraints to