The pion form factor from analyticity and unitarity

Analyticity and unitarity techniques are employed to estimate Taylor coefficients of the pion electromagnetic form factor at t = 0 by exploiting the recently evaluated two-pion contribution to the muon (g - 2) and the phase of the pion electromagnetic form factor in the elastic region, known from ππ scattering by Fermi-Watson theorem and the values of the form factor at several points in the space-like region. Regions in the complex t-plane are isolated where the form factor cannot have zeros. (author)