A new representation of the Adler function for lattice QCD

Abstract

We address several aspects of lattice QCD calculations of the hadronic vacuum polarization and the associated Adler function. We implement a representation derived previously which allows one to access these phenomenologically important functions for a continuous set of virtualities, irrespective of the flavor structure of the current. Secondly we present a theoretical analysis of the finite-size effects on our particular representation of the Adler function, based on the operator product expansion at large momenta and on the spectral representation of the Euclidean correlator at small momenta. Finally, an analysis of the flavor structure of the electromagnetic current correlator is performed, where a recent theoretical estimate of the Wick-disconnected diagram contributions is rederived independently and confirmed.

9 pages, 5 figures

References in corpus (9)

• Measurement of sigma(e+ e- -> pi+ pi-) from threshold to 0.85 GeV^2 using Initial State Radiation with the KLOE detector
• The nucleon axial charge from lattice QCD with controlled errors
• Vector Correlator in Massless QCD at Order O(alpha_s^4) and the QED beta-function at five loop
• Calculating the hadronic vacuum polarization and leading hadronic contribution to the muon anomalous magnetic moment with improved staggered quarks
• Deflation acceleration of lattice QCD simulations
• Model-independent parametrization of the hadronic vacuum polarization and g-2 for the muon on the lattice
• Quark disconnected diagrams in chiral perturbation theory
• On the extraction of zero momentum form factors on the lattice
• Finite Volume Effects in Thermal Field Theory

Cited by in corpus (64)

• The anomalous magnetic moment of the muon in the Standard Model
• Leading hadronic contribution to the muon magnetic moment from lattice QCD
• QCD and strongly coupled gauge theories: challenges and perspectives
• Hadronic vacuum polarization contribution to the anomalous magnetic moments of leptons from first principles
• Lattice calculation of the short and intermediate time-distance hadronic vacuum polarization contributions to the muon magnetic moment using twisted-mass fermions
• Window observable for the hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• The leading hadronic contribution to $(g-2{)}_{\mu }$ from lattice QCD with $N_{\mathrm{f}}=2+1$ flavours of O($a$) improved Wilson quarks
• The anomalous magnetic moment of the muon in the Standard Model: an update
• Light quark vacuum polarization at the physical point and contribution to the muon $g-2$
• The hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Timelike pion form factor in lattice QCD
• The $I=1$ pion-pion scattering amplitude and timelike pion form factor from $N_{\mathrm{f}}=2+1$ lattice QCD
• Lattice calculation of the pion transition form factor ${\pi }^0\to {\gamma }^{\ast }{\gamma }^{\ast }$
• Charge transport and vector meson dissociation across the thermal phase transition in lattice QCD with two light quark flavors
• Inclusive semi-leptonic decays from lattice QCD
• Lattice QCD calculation of hadronic light-by-light scattering
• Strange and charm quark contributions to the anomalous magnetic moment of the muon
• Light-quark connected intermediate-window contributions to the muon $g-2$ hadronic vacuum polarization from lattice QCD
• Lattice QCD and the anomalous magnetic moment of the muon
• The light-quark contribution to the leading HVP term of the muon $g-2$ from twisted-mass fermions
• The hadronic running of the electromagnetic coupling and the electroweak mixing angle from lattice QCD
• The muon anomalous magnetic moment with staggered fermions: is the lattice spacing small enough?
• Magnetic susceptibility of QCD matter and its decomposition from the lattice
• Muon g-2 estimates : Can one trust Effective Lagrangians and global fits ?
• Finite-volume effects in the muon anomalous magnetic moment on the lattice
• Rho resonance, timelike pion form factor, and implications for lattice studies of the hadronic vacuum polarisation
• Long-range electroweak amplitudes of single hadrons from Euclidean finite-volume correlation functions
• Slope and curvature of the hadron vacuum polarization at vanishing virtuality from lattice QCD
• Hadronic vacuum polarization and muon g-2 from magnetic susceptibilities on the lattice
• A New Strategy for the Lattice Evaluation of the Leading Order Hadronic Contribution to $(g-2{)}_{\mu }$
• Hadronic vacuum polarization function within dispersive approach to QCD
• Moment Analysis of Hadronic Vacuum Polarization - Proposal for a lattice QCD evaluation of $g_{\mu }-2$
• Leading hadronic contributions to the running of the electroweak coupling constants from lattice QCD
• Tests of hadronic vacuum polarization fits for the muon anomalous magnetic moment
• Tests of hadronic vacuum polarization fits for the muon anomalous magnetic moment
• Chiral extrapolation of the leading hadronic contribution to the muon anomalous magnetic moment
• Lorentz-covariant coordinate-space representation of the leading hadronic contribution to the anomalous magnetic moment of the muon
• On the application of Effective Field Theory to finite-volume effects in $a_{\mu }^{\mathrm{HVP}}$
• Ratios of the hadronic contributions to the lepton $g-2$ from Lattice QCD+QED simulations
• Muon $g-2$: Lattice calculations of the hadronic vacuum polarization
• Coordinate-space calculation of the window observable for the hadronic vacuum polarization contribution to $(g-2{)}_{\mu }$
• Explicit form of the R-ratio of electron-positron annihilation into hadrons
• Connected, Disconnected and Strange Quark Contributions to HVP
• Dispersive approach to QCD: tau lepton hadronic decay in vector and axial-vector channels
• The leading disconnected contribution to the anomalous magnetic moment of the muon
• Computing the Adler function from the vacuum polarization function
• Antiscreening of the Ampere force in QED and QCD plasmas
• Lattice QCD Studies of the Leading Order Hadronic Contribution to the Muon $g-2$
• Position space method for the nucleon magnetic moment in lattice QCD
• Anomalous magnetic moment of the muon, a hybrid approach
• Study of the anomalous magnetic moment of the muon computed from the Adler function
• Hadronic contributions to electroweak observables within DPT
• The QCD Adler function and the muon $g-2$ anomaly from renormalons
• Dispersive approach to QCD and hadronic contributions to electroweak observables
• Non-perturbative improvement of the vector current in Wilson lattice QCD
• Pion-pion scattering and the timelike pion form factor from $N_{\mathrm{f}}=2+1$ lattice QCD simulations using the stochastic LapH method
• Recent Developments of Muon g-2 from Lattice QCD
• Finite-volume effects in the hadronic vacuum polarization
• Vector correlator and scale determination in lattice QCD
• The hadronic vacuum polarization function with O(a)-improved Wilson fermions - an update
• The connected and leading disconnected diagrams of the hadronic light-by-light contribution to muon $g-2$
• Running of the Electroweak Gauge Couplings from First Principles
• Precision lattice calculation of the hadronic contribution to the running of the electroweak gauge couplings
• Lattice QCD: Flavor Physics and Spectroscopy