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Abstract
We present a firstprinciples lattice QCD+QED calculation at physical pion mass of the leadingorder hadronic vacuum polarization contribution to the muon anomalous magnetic moment. The total contribution of up, down, strange, and charm quarks including QED and strong isospin breaking effects is found to be $a_\mu^{\rm HVP~LO}=715.4(16.3)(9.2) \times 10^{10}$, where the first error is statistical and the second is systematic. By supplementing lattice data for very short and long distances with experimental Rratio data using the compilation of Ref. [1], we significantly improve the precision of our calculation and find $a_\mu^{\rm HVP~LO} = 692.5(1.4)(0.5)(0.7)(2.1) \times 10^{10}$ with lattice statistical, lattice systematic, Rratio statistical, and Rratio systematic errors given separately. This is the currently most precise determination of the leadingorder hadronic vacuum polarization contribution to the muon anomalous magnetic moment. In addition, we present the first lattice calculation of the lightquark QED correction at physical pion mass.
Original language  English 

Article number  022003 
Journal  Physical Review Letters 
Volume  121 
Issue number  2 
DOIs  
Publication status  Published  12 Jul 2018 
Keywords
 heplat
 hepph
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Particle Theory at the Higgs Centre
Ball, R., Boyle, P., Del Debbio, L., Gardi, E., Horsley, R., Kennedy, A., O'Connell, D., Smillie, J. & Zwicky, R.
1/10/17 → 30/09/21
Project: Research

Particle Theory at the Higgs Centre
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1/10/14 → 30/09/18
Project: Research
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Antonin Portelli
 School of Physics and Astronomy  Chancellor's Fellow: Computation / Big Data & Reader
Person: Academic: Research Active