Abstract
A novel approach to determine the leading hadronic corrections to the muon g -2 is proposed. It consists in a measurement of the effective electromagnetic coupling in the space-like region. This method may become feasible at flavor factories, resulting in a determination potentially competitive with the dispersive approach via time-like data.
Highlights
The motivation of this work [1] is due to a long-standing discrepancy between experiment and the Standard Model (SM) prediction for aμ, the muon anomalous magnetic moment
When the new results from the g-2 experiments at Fermilab and J-PARC will reach the unprecedented precision of 0.14 parts per million [7,8,9], the uncertainty of the hadronic corrections will become the main limitation of this formidable test of the SM
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 from Bhabha scattering data
Summary
The motivation of this work [1] 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 spacelike momenta, can be further formulated in terms of the Adler function [26], 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 [25, 27]. The hadronic contribution to the running of α in the space-like region, Δαhad(t) (see eq (3)), can be extracted comparing Bhabha scattering data to Monte Carlo (MC) 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, 34]
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