Lattice QCD and the Timelike Pion Form Factor
High Energy Physics - Lattice
2012-04-04 v2 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Abstract
We present a formula that allows one to calculate the pion form factor in the timelike region 2mpi <= sqrt{s} <= 4mpi in lattice QCD. The form factor quantifies the contribution of two-pion states to the vacuum polarization. It must be known very accurately in order to reduce the theoretical uncertainty on the anomalous magnetic moment of the muon. At the same time, the formula constitutes a rare example where, in a restricted kinematic regime, the spectral function of a conserved current can be determined from Euclidean observables without an explicit analytic continuation.
Keywords
Cite
@article{arxiv.1105.1892,
title = {Lattice QCD and the Timelike Pion Form Factor},
author = {Harvey B. Meyer},
journal= {arXiv preprint arXiv:1105.1892},
year = {2012}
}
Comments
4 pages, 1 figure; corrects a factor 2 in Eq. (6) over the published version