Hadronic vacuum polarization

Kirill Melnikov, Arkady Vainshtein

Research output: Chapter in Book/Report/Conference proceedingChapter


The hadronic vacuum polarization, Fig. 3.1, is the largest hadronic effect on the muon anomalous magnetic moment; it has to be known with high precision to match the existing experimental effort. Given the low value of the muon mass, this task seems formidable because at low energies hadronic interactions are strong. We are rescued by a dispersion representation of the photon propagator that relates hadronic vacuum polarization contribution to a μ and the experimentally measured e + e - annihilation cross section into hadrons. In principle, this allows to account for the effects of strong interactions exactly. Such an approach puts, however, a significant burden on the experiment, requiring high precision measurement of the e + e - annihilation cross section.

Original languageEnglish (US)
Title of host publicationTheory of the Muon Anomalous Magnetic Moment
Number of pages55
StatePublished - Nov 20 2006

Publication series

NameSpringer Tracts in Modern Physics
ISSN (Print)0081-3869


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