The phase of the electromagnetic form factor of the pion

arxiv(2024)

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Abstract
We employ a dispersion relation that allows to recover the phase of the electromagnetic form factor of the pion from its absolute value above threshold. Compared to alternative approaches building on the phase, this approach builds on experimental input directly accessible at colliders. Employing the precise datasets from the e^+e^-→π^+π^- reaction, we obtain the phase of the electromagnetic form factor up to 2.5 GeV, well beyond standard dispersive approaches. In addition, we separate the isovector and isoscalar components, that allows to extract the P-wave ππ phase shift. We also provide relevant results, including the radius of the form factor and bounds in the spacelike region.
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