Lattice calculation of the hadronic leading order contribution to the muon $g-2$

Abstract

The persistent discrepancy of about 3.5 standard deviations between the experimental measurement and the Standard Model prediction for the muon anomalous magnetic moment, $a_{\mu }$, is one of the most promising hints for the possible existence of new physics. Here we report on our lattice QCD calculation of the hadronic vacuum polarisation contribution $a_{\mu }^{\mathrm{hvp}}$, based on gauge ensembles with $N_f=2+1$ flavours of O($a$) improved Wilson quarks. We address the conceptual and numerical challenges that one encounters along the way to a sub-percent determination of the hadronic vacuum polarisation contribution. The current status of lattice calculations of $a_{\mu }^{\mathrm{hvp}}$ is presented by performing a detailed comparison with the results from other groups.

arXiv comment8 pages, Invited talk at "Flavour changing and conserving processes", Capri, Italy, 29-31 August 2019

References in corpus (31)

• (g-2)_mu and alpha(M_Z^2) re-evaluated using new precise data
• Reevaluation of the hadronic vacuum polarisation contributions to the Standard Model predictions of the muon g-2 and alpha(mZ) using newest hadronic cross-section data
• Dispersion relation for hadronic light-by-light scattering: two-pion contributions
• Calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment
• Weak transition matrix elements from finite-volume correlation functions
• Simulation of QCD with N_f=2+1 flavors of non-perturbatively improved Wilson fermions
• Dispersion relation for hadronic light-by-light scattering: theoretical foundations
• Effective noise reduction techniques for disconnected loops in Lattice QCD
• Vector Correlators in Lattice QCD: methods and applications
• Lattice calculation of the lowest order hadronic contribution to the muon anomalous magnetic moment
• Towards a data-driven analysis of hadronic light-by-light scattering
• Hadronic vacuum polarization contribution to the anomalous magnetic moments of leptons from first principles
• Dispersive approach to hadronic light-by-light scattering
• QED in finite volume and finite size scaling effect on electromagnetic properties of hadrons
• Rescattering effects in the hadronic-light-by-light contribution to the anomalous magnetic moment of the muon
• Lattice QCD and the Timelike Pion Form Factor
• The hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Strong-isospin-breaking correction to the muon anomalous magnetic moment from lattice QCD at the physical point
• The $I=1$ pion-pion scattering amplitude and timelike pion form factor from $N_{\mathrm{f}}=2+1$ lattice QCD
• Calculation of the hadronic vacuum polarization disconnected contribution to the muon anomalous magnetic moment
• Isospin breaking effects due to the up-down mass difference in Lattice QCD
• Lattice QCD calculation of hadronic light-by-light scattering
• Hadronic decay of a vector meson from the lattice
• Lattice QCD and the anomalous magnetic moment of the muon
• Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study
• Strange and charm HVP contributions to the muon ($g-2)$ including QED corrections with twisted-mass fermions
• Frequency-splitting estimators of single-propagator traces
• Dissecting the hadronic contributions to $(g-2{)}_{\mu }$ by Schwinger's sum rule
• Lorentz-covariant coordinate-space representation of the leading hadronic contribution to the anomalous magnetic moment of the muon
• A lattice calculation of the hadronic vacuum polarization contribution to $(g-2{)}_{\mu }$
• Towards leading isospin breaking effects in mesonic masses with $O(a)$ improved Wilson fermions