A derivative-based approach for the leading order hadronic contribution to $g_\mu-2$

Eric B. Gregory; Craig McNeile

A derivative-based approach for the leading order hadronic contribution to $g_\mu-2$

High Energy Physics - Lattice 2015-12-02 v1

Authors: Eric B. Gregory , Craig McNeile

Abstract

We describe a lattice approach to calculating the leading-order hadronic contribution to the anomalous magnetic moment of the muon. We employ lattice momentum derivatives, in both the spatial and temporal directions, to determine the hadronic vacuum polarization scalar at low momenta and construct a smooth, intregrable function in this momentum region. The method is tested on one hex-smeared Wilson-quark lattice ensemble with physical pion masses.

Keywords

hadronic vacuum polarization lattice QCD anomalous magnetic moment muon g-2 momentum derivatives

Cite

@article{arxiv.1512.00331,
  title  = {A derivative-based approach for the leading order hadronic contribution to $g_\mu-2$},
  author = {Eric B. Gregory and Craig McNeile},
  journal= {arXiv preprint arXiv:1512.00331},
  year   = {2015}
}

Comments

7 pages, 7 figures, Proceedings of the 33rd International Symposium on Lattice Field Theory, July 14-18, 2015, Kobe, Japan

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