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 $\pi \pi$ 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.
Volume 96, 2022
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