A hope for the new physics beyond the Standard Model: Spacelike method

The calculation of the muon anomalous magnetic moment in the Standard Model (SM) is a very active field.These improvements would have the uncertainty on the difference between experiment and theory, and should clarify whether the current difference points toward New Physics, or to a statistical fluctuation. The comparison of two methodologies for the calculation of the hadronic vacuum polarization leading order contribution to the muon g-2 focus on the dominant 2¿ contribution. The knowledge of both quantities contributes to the signifcance of this comparison: a 0.54 ppm uncertainty on the experimental measurement and a 0.31 ppm theoretical uncertainty (according to the most recent evaluations) of the SM prediction.