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- W1965493411 abstract "The Taylor coefficients c and d of the EM form factor of the pion are constrained using analyticity, knowledge of the phase of the form factor in the time-like region, 4m 2 π ≤t≤t in 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, which 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 the literature and find agreement with the chiral perturbation-theory results for c. We obtain ({dsimmathcal{O}(10)~mbox{GeV}^{-6}}) when c is set to the chiral perturbation-theory values." @default.
- W1965493411 created "2016-06-24" @default.
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- W1965493411 date "2009-01-16" @default.
- W1965493411 modified "2023-09-25" @default.
- W1965493411 title "Constraining the low-energy pion electromagnetic form factor with space-like and phase of time-like data" @default.
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- W1965493411 doi "https://doi.org/10.1140/epjc/s10052-008-0859-0" @default.
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