The Muon Anomalous Magnetic Moment - Significance of the New Measurement

Abstract

Theoretical calculations of the hadronic contribution to the muon anomalous magnetic moment utilize experimental data from e+e- annhilation and tau decay. The data provide input to a dispersion relation. I contend that it is not possible to put error bounds on the dispersion-relation calculation absent proof - not presently available - that the amplitudes in question are polynomially bounded. Examples are provided. Additional pertinent references have been added to an earlier version of this posting.

9 pages,LaTeX, 2 figures

References in corpus (3)

• Precise Measurement of the Positive Muon Anomalous Magnetic Moment
• Pseudoscalar pole terms in the hadronic light-by-light scattering contribution to muon $g-2$
• The anomalous threshold, confinement, and an essential singularity in the heavy-light form factor