Constraining the low energy Pion electromagnetic form factor with space-like and phase of time-like data

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dc.creatorAnanthanarayan, B.
dc.creatorRamanan, S.
dc.date2008-11-04
dc.date2008-12-15
dc.date.accessioned2026-07-07T12:51:22Z
dc.date.available2026-07-07T12:51:22Z
dc.descriptionThe Taylor coefficients c and d of the Pion EM form factor are constrained using analyticity, knowledge of the phase of the form factor in the time-like region, 4 m_pi^2 \le t \le \tin and its value at one space-like point, using as input the (g-2) of the muon. This is achieved using the technique of Lagrange multipliers, that gives a transparent expression for the corresponding bounds. We present a detailed study of the sensitivity of the bounds to the choice of time-like phase and errors present in the space-like data, taken from recent experiments. We find that our results constrain c stringently. We compare our results with those in literature and find agreement with the chiral perturbation theory results for $c$. We obtain d \sim O(10)GeV^{-6} when c is set to the chiral perturbation theory values.
dc.description8 pages, latex using EPJ style file, 10 figures; replaced with version accepted by European Physical Journal; expanded version of v1, with improvements in text, corrections of nomenclature, and a substantial computation using Roy equation fits for phase shifts and 3 additional figures and several additional references
dc.identifierhttps://arxiv.org/abs/0811.0482
dc.identifierhttp://arxiv.org/abs/0811.0482
dc.identifierEur.Phys.J.C60:73-81,2009
dc.identifierdoi:10.1140/epjc/s10052-008-0859-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222967
dc.subjectHigh Energy Physics - Phenomenology
dc.titleConstraining the low energy Pion electromagnetic form factor with space-like and phase of time-like data
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