# Moment Analysis of Hadronic Vacuum Polarization - Proposal for a lattice QCD evaluation of $g_{\mu}-2$

1 CPT - E1 Physique des particules
CPT - Centre de Physique Théorique - UMR 7332
Abstract : I suggest a new approach to the determination of the hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon $a_{\mu}^{\rm HVP}$ in lattice QCD. It is based on properties of the Mellin transform of the hadronic spectral function and their relation to the HVP self energy in the Euclidean. I show how $a_{\mu}^{\rm HVP}$ is very well approximated by a few moments associated to this Mellin transform and how these moments can be evaluated in lattice QCD, providing thus a series of tests when compared with the corresponding determinations using experimental data.
Document type :
Journal articles
Domain :

https://hal.archives-ouvertes.fr/hal-01252359
Contributor : Stéphanie Suciu <>
Submitted on : Thursday, January 7, 2016 - 2:50:41 PM
Last modification on : Thursday, March 15, 2018 - 4:56:07 PM

### Citation

Eduardo de Rafael. Moment Analysis of Hadronic Vacuum Polarization - Proposal for a lattice QCD evaluation of $g_{\mu}-2$. Physics Letters B, Elsevier, 2014, 736, pp.522-525. ⟨10.1016/j.physletb.2014.08.003⟩. ⟨hal-01252359⟩

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