TY - JOUR

T1 - A Hybrid Strategy for the Lattice Evaluation of the Leading Order Hadronic Contribution to (g-2)μ

AU - Golterman, Maarten

AU - Maltman, Kim

AU - Peris, Santiago

PY - 2016/1/1

Y1 - 2016/1/1

N2 - © 2015 Elsevier B.V. The leading-order hadronic contribution to the muon anomalous magentic moment, aμLO,HVP can be expressed as an integral over Euclidean Q2 of the vacuum polarization function. We point out that a simple trapezoid-rule numerical integration of the current lattice data is good enough to produce a result with a less-than-1% error for the contribution from the interval above Q2≳0.1-0.2GeV2. This leaves the interval below this value of Q2 as the one to focus on in the future. In order to achieve an accurate result also in this lower window Q2⪅0.1-0.2GeV2, we indicate the usefulness of three possible tools. These are: Padé Approximants, polynomials in a conformal variable and a NNLO Chiral Perturbation Theory representation supplemented by a Q4 term. The combination of the numerical integration in the upper Q2 interval together with the use of these tools in the lower Q2 interval provides a hybrid strategy which looks promising as a means of reaching the desired goal on the lattice of a sub-percent precision in the hadronic vacuum polarization contribution to the muon anomalous magnetic moment.

AB - © 2015 Elsevier B.V. The leading-order hadronic contribution to the muon anomalous magentic moment, aμLO,HVP can be expressed as an integral over Euclidean Q2 of the vacuum polarization function. We point out that a simple trapezoid-rule numerical integration of the current lattice data is good enough to produce a result with a less-than-1% error for the contribution from the interval above Q2≳0.1-0.2GeV2. This leaves the interval below this value of Q2 as the one to focus on in the future. In order to achieve an accurate result also in this lower window Q2⪅0.1-0.2GeV2, we indicate the usefulness of three possible tools. These are: Padé Approximants, polynomials in a conformal variable and a NNLO Chiral Perturbation Theory representation supplemented by a Q4 term. The combination of the numerical integration in the upper Q2 interval together with the use of these tools in the lower Q2 interval provides a hybrid strategy which looks promising as a means of reaching the desired goal on the lattice of a sub-percent precision in the hadronic vacuum polarization contribution to the muon anomalous magnetic moment.

U2 - 10.1016/j.nuclphysbps.2015.09.267

DO - 10.1016/j.nuclphysbps.2015.09.267

M3 - Article

VL - 273-275

SP - 1650

EP - 1656

JO - Nuclear and Particle Physics Proceedings

JF - Nuclear and Particle Physics Proceedings

SN - 2405-6014

ER -