The phase of the electromagnetic form factor of the pion
arxiv(2024)
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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