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Hadronic Vacuum Polarization and the MUonE proposal
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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.
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Cited by 1 Pith paper
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The role of Pad\'e and D-Log Pad\'e approximants in the context of the MUonE Experiment
Pade and D-Log approximants recover the hadronic vacuum polarization contribution to the muon anomalous magnetic moment from simulated MUonE data to within 0.06%.
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