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Electromagnetic charge radius of the pion at high precision · Around

2017

Electromagnetic charge radius of the pion at high precision

Ananthanarayan, B., Caprini, Irinel, Das, Diganta

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We present a determination of the pion charge radius from high precision data on the pion vector form factor from both timelike and spacelike regions, using a novel formalism based on analyticity and unitarity.

At low energies, instead of the poorly known modulus of the form factor, we use its phase, known with high accuracy from Roy equations for $\pi\pi$ elastic scattering via the Fermi-Watson theorem.
We use also the values of the modulus at several higher timelike energies, where the data from $e^+e^-$-annihilation and $\tau$-decay are mutually consistent, as well as the most recent measurements at spacelike momenta.
The experimental uncertainties are implemented by Monte-Carlo simulations.

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