Model-independent parametrization of the hadronic vacuum polarization and g-2 for the muon on the lattice

Abstract

The leading hadronic contribution to the muon anomalous magnetic moment is given by a weighted integral over euclidean momentum of the hadronic vacuum polarization. This integral is dominated by momenta of order the muon mass. Since the finite volume in lattice QCD makes it difficult to compute the vacuum polarization at a large number of low momenta with high statistics (combined with the fact that one cannot compute it at zero momentum), a parametrization of the vacuum polarization is required to extrapolate the data. A much used functional form is based on vector meson dominance, which introduces model dependence into the lattice computation of the magnetic moment. Here we introduce a model-independent extrapolation method, and present a few first tests of this new method.

17 pages, 5 figures

References in corpus (3)

• Muon g-2: Review of Theory and Experiment
• Calculating the hadronic vacuum polarization and leading hadronic contribution to the muon anomalous magnetic moment with improved staggered quarks
• Quark disconnected diagrams in chiral perturbation theory

Cited by in corpus (61)

• The anomalous magnetic moment of the muon in the Standard Model
• QCD and strongly coupled gauge theories: challenges and perspectives
• Pseudoscalar-pole contribution to the $(g_{\mu }-2)$: a rational approach
• A new class of variance reduction techniques using lattice symmetries
• Hadronic vacuum polarization contribution to the anomalous magnetic moments of leptons from first principles
• Hadronic-vacuum-polarization contribution to the muon's anomalous magnetic moment from four-flavor lattice QCD
• 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 $g-2$
• New Physics Contributions to the Muon Anomalous Magnetic Moment: A Numerical Code
• The hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Hadronic vacuum polarization contribution to the muon $g-2$ with 2+1 flavor lattice QCD on a larger than (10 fm${)}^4$ lattice at the physical point
• A new representation of the Adler function for lattice QCD
• Lattice simulations with eight flavors of domain wall fermions in SU(3) gauge theory
• First Physics Results at the Physical Pion Mass from $N_f=2$ Wilson Twisted Mass Fermions at Maximal Twist
• Strange and charm quark contributions to the anomalous magnetic moment of the muon
• Searching for MeV-Scale Gauge Bosons with IceCube
• Lattice QCD and the anomalous magnetic moment of the muon
• The hadronic running of the electromagnetic coupling and the electroweak mixing angle from lattice QCD
• Muon g-2 estimates : Can one trust Effective Lagrangians and global fits ?
• Computing the hadronic vacuum polarization function by analytic continuation
• Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study
• Finite-volume effects in the muon anomalous magnetic moment on the lattice
• Pseudoscalar pole light-by-light contributions to the muon $(g-2)$ in Resonance Chiral Theory
• 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 $(g-2{)}_{\mu }$
• Dispersive approach to QCD and inclusive tau lepton hadronic decay
• Lattice calculation of the leading strange quark-connected contribution to the muon $g-2$
• 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
• Radiative contribution to the effective potential in composite Higgs models from lattice gauge theory
• Probing the singularities of the Landau-gauge gluon and ghost propagators with rational approximants
• Hadronic Vacuum Polarization in QCD and its Evaluation in the Euclidean
• The hadronic vacuum polarization and automatic O(a) improvement for twisted mass fermions
• Vacuum polarization contribution to muon $g-2$ as an inverse problem
• Leading-order hadronic contributions to the electron and tau anomalous magnetic moments
• Lattice QCD Studies of the Leading Order Hadronic Contribution to the Muon $g-2$
• Hadronic contribution to the QED running coupling $\alpha (M_Z^2)$
• Anomalous magnetic moment of the muon, a hybrid approach
• Hadronic corrections to the muon anomalous magnetic moment from lattice QCD
• Study of the anomalous magnetic moment of the muon computed from the Adler function
• Hadronic contributions to electroweak observables within DPT
• Leading-order hadronic contributions to the lepton anomalous magnetic moments from the lattice
• Updated pseudoscalar contributions to the hadronic light-by-light of the muon (g-2)
• Finite-volume effects in the hadronic vacuum polarization
• Error reduction technique using covariant approximation and application to nucleon form factor
• Calculation of the specific heat of optimally K-doped BaFe${}_2$As${}_2$
• The hadronic vacuum polarization function with O(a)-improved Wilson fermions - an update
• The muon anomalous magnetic moment, a view from the lattice
• Pade approximants and g-2 for the muon
• Model-independent extrapolation of MUonE data with Padé and D-Log approximants
• Towards the physical point hadronic vacuum polarisation from Moebius DWF
• Precision lattice calculation of the hadronic contribution to the running of the electroweak gauge couplings
• Lepton anomalous magnetic moments from twisted mass fermions
• Neutrino mass and charged lepton flavor violation in an extended left-right symmetric model
• Lattice QCD: Flavor Physics and Spectroscopy
• Lattice calculations and the muon anomalous magnetic moment