Hadronic Vacuum Polarization and the MUonE proposal
David Greynat, Eduardo de Rafael
TL;DR
This paper discusses a method to reconstruct the hadronic vacuum polarization function in unmeasured regions, enabling precise determination of its contribution to the muon magnetic moment via the MUonE experiment.
Contribution
It introduces an adaptation of transfer theorems to reconstruct the HVP function in inaccessible regions, enhancing the MUonE experimental analysis.
Findings
Reconstruction method for HVP in unmeasured regions
Application of transfer theorems to HVP analysis
Potential improvement in muon g-2 precision
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.
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Taxonomy
TopicsParticle physics theoretical and experimental studies · Superconducting Materials and Applications · Particle Detector Development and Performance