Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-11-04
Eur.Phys.J.C60:73-81,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 pages, latex using EPJ style file, 10 figures; replaced with version accepted by European Physical Journal; expanded version
Scientific paper
10.1140/epjc/s10052-008-0859-0
The 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.
Ananthanarayan Balasubramanian
Ramanan Sunethra
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