The analysis strategy of the MUonE experiment.

The precision on the muon $g$-2 theoretical prediction is currently limited by the leading-order hadronic contribution $a_{\mu}^{HLO}$, which is traditionally determined through a dispersive approach. The latest evaluation leads to a $4.2\sigma$ discrepancy between theory and the experimental value. A recent calculation of $a_{\mu}^{HLO}$ based on lattice QCD is in tension with the dispersive one, and weakens the discrepancy with the experiment to $1.5\sigma$. An independent crosscheck is thus required to solve this tension and consolidate the theoretical prediction. The MUonE experiment proposes a novel approach to determine $a_{\mu}^{HLO}$. It is based on the extraction of the running of the electromagnetic coupling constant in the space-like region from a very precise measurement of the $\mu\mbox{-}e$ elastic scattering differential cross-section. The measurement will be performed at CERN's North Area by scattering a $160 {GeV}$ muon beam on the atomic electrons of a low-$Z$ target. A Test Run on a reduced detector is planned to validate this proposal. The analysis strategy will be discussed in this contribution, focusing on the assessment of the main systematic uncertainties in the Test Run.