Type

Journal Article

Authors

Michael Peardon
Sinead Ryan

Subjects

Physics

Topics
ireland lattice qcd energy polarization quark line disconnected diagram vacuum contribution science and technology

Estimate of the hadronic vacuum polarization disconnected contribution to the anomalous magnetic moment of the muon from lattice QCD (2016)

Abstract The quark-line disconnected diagram is a potentially important ingredient in lattice QCD calculations of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon. It is also a notoriously difficult one to evaluate. Here, for the first time, we give an estimate of this contribution based on lattice QCD results that have a statistically significant signal, albeit at one value of the lattice spacing and an unphysically heavy value of the u=d quark mass. We use HPQCD ? s method of determining the anomalous magnetic moment by reconstructing the Adler function from time moments of the current- current correlator at zero spatial momentum. Our results lead to a total (including u , d and s quarks) quark- line disconnected contribution to a ? of ? 0 . 15% of the u=d hadronic vacuum polarization contribution with an uncertainty which is 1% of that contribution. We are grateful to the Hadron Spectrum collaboration for the correlators used here and to C. Bernard for useful discussions. Chroma [28] and QUDA [29,30] were used on clusters at Jefferson Laboratory under the USQCD Initiative and the LQCD ARRA project. Gauge configu- rations were generated using resources awarded from the U.S. Department of Energy INCITE program at Oak Ridge National Lab, the NSF Teragrid at the Texas Advanced Computer Center and the Pittsburgh Supercomputer Center as well as at Jefferson Lab. Calculations were also done on the Darwin Supercomputer as part of STFC ? sDiRAC facility jointly funded by STFC, BIS and the Universities of Cambridge and Glasgow. This work was funded by the Gilmour bequest to the University of Glasgow, Science Foundation Ireland (Grant No. 11-RFP.1-PHY-3201), the Science and Technology Facilities Council (Grant No. ST/ L000466/1), the Royal Society, the Wolfson Foundation and the National Science Foundation
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Full list of authors on original publication

Michael Peardon, Sinead Ryan

Experts in our system

1
Michael James Peardon
Trinity College Dublin
Total Publications: 64
 
2
Sinead Marie Ryan
Trinity College Dublin
Total Publications: 63