New strategy for the lattice evaluation of the leading order hadronic contribution to(g−2)μ

2014/05/10 by Maarten Golterman, Kim Maltman, Santiago Peris · 36 citations
Physics and Astronomy · #Anomalous magnetic dipole moment #Hadron #High-Energy Particle Collisions Research #Lattice (music) #Muon #Particle physics #Particle physics theoretical and experimental studies #Physics #Polarization (electrochemistry) #Quantum Chromodynamics and Particle Interactions #Vacuum polarization #hep-lat #hep-ph

paper · pdf · doi:10.1103/physrevd.90.074508

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 90(7) (American Physical Society) · 27 pages, 9 figures

arxiv created 2014/05/10 · openalex publication_date 2014/10/22 · arxiv updated 2014/10/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A reliable evaluation of the integral giving the hadronic vacuum polarization contribution to the muon anomalous magnetic moment should be possible using a simple trapezoid rule integration of lattice data for the subtracted electromagnetic current polarization function in the Euclidean momentum interval Q²>Q_min², coupled with an N-parameter Pad'e or other representation of the polarization in the interval 0<Q²<Q_min², for sufficiently high Q_min² and sufficiently large N. Using a physically motivated model for the I=1 polarization, and the covariance matrix from a recent lattice simulation to generate associated fake ``lattice data,'' we show that systematic errors associated with the choices of Q_min² and N can be reduced to well below the 1% level for Q_min² as low as 0.1 GeV² and rather small N. For such low Q_min², both a next-to-next-to-leading-order (NNLO) chiral representation with one additional NNNLO term and a low-order polynomial expansion employing a conformally transformed variable also provide representations sufficiently accurate to reach this precision for the low-Q² contribution. Combined with standard techniques for reducing other sources of error on the lattice determination, this hybrid strategy thus looks to provide a promising approach to reaching the goal of a subpercent-precision determination of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment on the lattice.

Citations

• Precise Measurement of thee+e−→π+π−(γ)Cross Section with the Initial State Radiation Method atBABAR
• Renormalization of Chiral Perturbation Theory to Order p6
• Chiral perturbation theory to one loop
• High-statistics measurement of the pion form factor in the ρ-meson energy range with the CMD-2 detector
• Two-point functions at two loops in three flavour chiral perturbation theory
• Duality violations and spectral sum rules
• Chiral perturbation theory: Expansions in the mass of the strange quark
• Final report of the E821 muon anomalous magnetic moment measurement at BNL
• Measurement of the Negative Muon Anomalous Magnetic Moment to 0.7 ppm
• Reevaluation of the hadronic contributions to the muon g−2 and to α (M²_Z)
• Hadronic corrections to the muon anomalous magnetic moment from lattice QCD
• Lattice Calculation of the Lowest-Order Hadronic Contribution to the Muon Anomalous Magnetic Moment

Cited by

• Vacuum polarization contribution to muon g−2 as an inverse problem