TY - JOUR

T1 - Hadronic τ decay data and a hybrid strategy for the lattice evaluation of the leading order hadronic vacuum polarization contribution to (g - 2)μ

AU - Golterman, Maarten

AU - Maltman, Kim

AU - Peris, Santiago

PY - 2015/3/1

Y1 - 2015/3/1

N2 - © 2015 Elsevier B.V. Starting from the dispersion relation for the I=1 vector polarization, we employ hadronic τ decay data to construct a highly physical model of the subtracted polarization and use this to investigate, and quantify, systematic issues in existing lattice determinations of the leading-order hadronic vacuum polarization contribution to the muon anomalous magnetic moment. The model is also used to demonstrate that a hybrid strategy, involving direct numerical integration of lattice data for Euclidean Q2 above ~0.1-0.2GeV2 and the use of three possible reliable low-Q2 representations to cover the region below this, serves to reduce the errors induced by the identified systematic problems to the sub-percent level, making the hybrid approach an attractive option for use in future lattice analyses.

AB - © 2015 Elsevier B.V. Starting from the dispersion relation for the I=1 vector polarization, we employ hadronic τ decay data to construct a highly physical model of the subtracted polarization and use this to investigate, and quantify, systematic issues in existing lattice determinations of the leading-order hadronic vacuum polarization contribution to the muon anomalous magnetic moment. The model is also used to demonstrate that a hybrid strategy, involving direct numerical integration of lattice data for Euclidean Q2 above ~0.1-0.2GeV2 and the use of three possible reliable low-Q2 representations to cover the region below this, serves to reduce the errors induced by the identified systematic problems to the sub-percent level, making the hybrid approach an attractive option for use in future lattice analyses.

KW - Lattice QCD

KW - Muon anomalous magnetic moment

KW - τ decay data

U2 - 10.1016/j.nuclphysbps.2015.02.024

DO - 10.1016/j.nuclphysbps.2015.02.024

M3 - Article

VL - 260

SP - 116

EP - 120

JO - Nuclear and Particle Physics Proceedings

JF - Nuclear and Particle Physics Proceedings

SN - 2405-6014

ER -