Abstract
We propose a novel approach to determine the leading hadronic corrections to the muon g-2. It consists in a measurement of the effective electromagnetic coupling in the space-like region. This method may become feasible at flavor factories as well as with μ e scattering resulting in a determination potentially competitive with the dispersive approach via time-like data.
Highlights
The motivation of this work [1, 2] is due to a long-standing discrepancy between experiment and the Standard Model (SM) prediction for aμ, the muon anomalous magnetic moment
We presented a novel approach to determine the leading hadronic correction to the muon g-2 based on measurements of the running of α(t) in the space-like region
An alternative formula for aμHLO in the space-like region has been studied in detail
Summary
The motivation of this work [1, 2] is due to a long-standing discrepancy between experiment and the Standard Model (SM) prediction for aμ, the muon anomalous magnetic moment. Equation (11), involving the hadronic contribution to the running of the effective fine-structure constant at space-like momenta, can be further formulated in terms of the Adler function [29], defined as the logarithmic derivative of the vacuum polarization, which, in turn, can be calculated via a dispersion relation with time-like hadroproduction data and perturbative QCD [28, 30]. The hadronic contribution to the running of α in the space-like region, Δαhad(t) (see eq (3)), can be extracted by comparing Bhabha scattering data with Monte Carlo predictions. Such a statistical accuracy, challenging, can be obtained at flavor factories, as shown in fig. It is worth quoting that a detailed analysis of the systematic errors involved in the measurement of the luminosity has been carried out at LEP by the OPAL collaboration reaching the final accuracy of O(10−4) [15, 37]
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