We propose an alternative method to extract the leading-order hadronic
contribution to the muon g-2, aμHLO​, with the MUonE experiment.
In contrast to the traditional method based on the integral of the hadronic
contribution to the running of the effective fine-structure constant
Δαhad​ in the space-like region, our approach relies on the
computation of the derivatives of Δαhad​(t) at zero squared
momentum transfer t. We show that this approach allows to extract ∼99%
of the total value of aμHLO​ from the MUonE data, while the
remaining ∼1% can be computed combining perturbative QCD and data on
e+e− annihilation to hadrons. This leads to a competitive evaluation of
aμHLO​ which is robust against the parameterization used to model
Δαhad​(t) in the MUonE kinematic region, thanks to the
analyticity properties of Δαhad​(t), which can be expanded as a
polynomial at t∼0.Comment: 13 pages, 10 figure