Constraining the low energy pion electromagnetic form factor with space-like data

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 (6)

• Muon g-2: Review of Theory and Experiment
• Determination of the pion charge form factor for Q^2=0.60-1.60 GeV^2
• Pion and Kaon Electromagnetic Form Factors
• Essentials of the Muon g-2
• Bounds on the slope and the curvature of the scalar Kπform factor at zero momentum transfer
• Dispersive and chiral symmetry constraints on the light meson form factors

Cited by in corpus (9)

• Vector Meson Dominance as a first step in a systematic approximation: the pion vector form factor
• Electromagnetic pion and kaon form factors in light-cone resummed perturbative QCD
• Implications of the recent high statistics determination of the pion electromagnetic form factor in the timelike region
• Theory of unitarity bounds and low energy form factors
• Implications of unitarity and analyticity for the Dπform factors
• 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)
• Constraining Form Factors with the Method of Unitarity Bounds