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 [6,7,8], 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
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. As the total cross section for hadron production in low-energy e+e− annihilations is related to the imaginary part of Πhad(s) via the optical theorem, the dispersion integral in eq (6) is computed integrating experimental time-like (s > 0) data up to a certain value of s [3, 16, 17]. 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 [25], 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 [24, 26].
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