Constraining the low energy pion electromagnetic form factor with space-like data
arXiv:0801.2023 · doi:10.1140/epjc/s10052-008-0533-6
Abstract
The pionic contribution to the g-2 of the muon involves a certain integral over the the modulus squared of F_π(t), the pion electromagnetic form factor. We extend techniques that use cut-plane analyticity properties of F_π(t) in order to account for present day estimates of the pionic contribution and experimental information at a finite number of points in the space-like region. Using data from several experiments over a large kinematic range for |t|, we find bounds on the expansion coefficients of F_π(t), sub-leading to the charge radius. The value of one of these coefficients in chiral perturbation theory respects these bounds. Furthermore, we present a sensitivity analysis to the inputs. A brief comparison with results in the literature that use observables other than the g-2 and timelike data is presented.
11 pages in EPJ journal style, to appear in European Physical Journal C
References in corpus (1)
Cited by in corpus (5)
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- Constraining the low energy Pion electromagnetic form factor with space-like and phase of time-like data
- Improved bounds on the radius and curvature of the K pi scalar form factor and implications to low-energy theorems
- New constraints on the Pion EM form factor using Pi'(-Q^2)