Hadronic Vacuum Polarization and the MUonE proposal

Abstract

The MUonE proposal at the CERN SPS consists in extracting the value of the hadronic vacuum polarization self-energy function (HVP) from its contribution to the differential cross-section of elastic muon-electron scattering. The HVP contribution to the muon anomalous magnetic moment can then be obtained from a weighted integral of the measured HVP self-energy function. This, however, requires a knowledge of the HVP function in its full integration domain. This paper discusses a procedure to reconstruct the HVP function in the regions not directly accessible to measurement. The method is based on the so-called transfer theorems, due to Flajolet and Odlyzko, which we explain and adapt to HVP.

32 pages, 9 figures. Typos and wording corrected. Version to appear in JHEP

References in corpus (3)

• The $g-2$ of charged leptons, $\alpha (M_Z^2)$ and the hyperfine splitting of muonium
• A new approach to evaluate the leading hadronic corrections to the muon g-2
• Resummation of Threshold, Low- and High-Energy Expansions for Heavy-Quark Correlators