Speaker
Description
Duration: 12'+3'
One of the most intriguing indication of a theory beyond the Standard Model is the well-known discrepancy between the theoretical prediction of the muon anomalous magnetic moment $a_\mu = (g-2)_\mu/2$ and its experimental value. Another possible explanation for this inconsistency is the incorrect evaluation of the Hadronic Leading Order (HLO) contribution $a_\mu^{HLO}$, which is also the main source of the theoretical uncertainty. Furthermore, there are several tensions between the results obtained with the time-like approach based on $e^+e^-\to hadrons$ data and lattice simulations. In this context, the recently proposed MUonE experiment aims at providing a novel determination of $a_\mu^{HLO}$ through the study of elastic muon-electron scattering. The high-precision measurement of the differential cross section allows the determination of $a_\mu^{HLO}$ from the running of the electromagnetic coupling $\alpha(t)$ in the space-like momentum region.
In this contribution, we will present the status of the theoretical calculations that are required to achieve a competitive measurement of $a_\mu^{HLO}$ with the MUonE experiment. In particular, the precision goal of 10 ppm on the differential cross section requires at least a QED Next-to-Next-Leading Order (NNLO) computation of the muon-electron scattering with full mass dependency. The result for the NNLO photonic and leptonic corrections, both virtual and real, will be presented. Their implementation in Monte Carlo tools for data analysis will also be discussed.
| Collaboration / Activity | MUonE Collaboration |
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