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We propose an alternative method to extract the leading-order hadroniccontribution to the muon g-2, $a_{\mu}^\text{HLO}$, with the MUonE experiment.In contrast to the traditional method based on the integral of the hadroniccontribution to the running of the effective fine-structure constant$\Delta\alpha_{had}$ in the space-like region, our approach relies on thecomputation of the derivatives of $\Delta\alpha_{had}(t)$ at zero squaredmomentum transfer $t$. We show that this approach allows to extract $\sim 99\%$of the total value of $a_{\mu}^\text{HLO}$ from the MUonE data, while theremaining $\sim 1\%$ can be computed combining perturbative QCD and data on$e^+e^-$ annihilation to hadrons. This leads to a competitive evaluation of$a_{\mu}^\text{HLO}$ which is robust against the parameterization used to model$\Delta\alpha_{had}(t)$ in the MUonE kinematic region, thanks to theanalyticity properties of $\Delta\alpha_{had}(t)$, which can be expanded as apolynomial at $t\sim 0$.

An alternative evaluation of the leading-order hadronic contribution to the muon g-2 with MUonE