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.

arXiv comment32 pages, 9 figures. Typos and wording corrected. Version to appear in JHEP

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• The anomalous magnetic moment of the muon in the Standard Model: an update
• Status of the MUonE experiment
• Model-independent extrapolation of MUonE data with Padé and D-Log approximants
• On the Time Momentum Representation of Hadronic Vacuum Polarization and ${\mathbf{g}}_{\mathbf{\mu }}-2$