Pion form factor and reactions e^+e^---> omega pi^0 and e^+e^---> pi^+ pi^- pi^+ pi^- at energies up to 2-3 GeV in the many-channel approach

Abstract

Using the field-theory-inspired expression for the pion electromagnetic form factor F_π, a good description of the data in the range -10<s<1 GeV^2 is obtained upon taking into account the pseudoscalar-pseudoscalar (PP) loops. When the vector-pseudoscalar (VP) and the axial vector-pseudoscalar (AP) loops are taken into account in addition to the PP ones, a good description of the BABAR data on the reaction e^+e^--->pi^+ pi^- is obtained at energies up to 3 GeV. The inclusion of the VP and AP loops demands the treatment of the reactions e^+e^---> omega pi^0 and e^+e^---> pi^+ pi^- pi^+ pi^-. This task is also made, with the SND data on the omega pi^0 production and the BABAR data on the pi^+ pi^- pi^+ pi^- production, both in e^+e^- annihilation, upon taking into account ρ(770) and the heavier ρ(1450), ρ(1700), and ρ(2100) resonances. The problems with inclusion of the VP and AP loops are pointed out and discussed.

15 pages, 9 figures. The work is redone using different subtraction scheme for the nondiagonal polarization operators

References in corpus (12)

• Determination of the Charged Pion Form Factor at Q2=1.60 and 2.45 (GeV/c)2
• Measurement of sigma(e+ e- -> pi+ pi-) from threshold to 0.85 GeV^2 using Initial State Radiation with the KLOE detector
• An Update of the HLS Estimate of the Muon g-2
• Narrow resonances studies with the radiative return method
• Study of e+e- --> omega pi0 --> pi0 pi0 gamma in the energy range 1.05--2.00 GeV with SND
• Lightest scalar in the SU_L(2)*SU_R(2) linear σmodel
• Isospin mixing in the nucleon and 4He and the nucleon strange electric form factor
• Four-pion production in tau decays and e+e- annihilation: an update
• Electromagnetic form factor of pion in the field theory inspired approach
• Pion form factor in the range -10 GeV^2 < s < 1 GeV^2
• Hidden local symmetry and the reaction e^+e^-\toπ^+π^-π^+π^- at energies \sqrt{s}\leq 1 GeV
• Reaction e^+e^-\toπ^+π^-π^+π^- at energies \sqrt{s}\leq 1 GeV

Cited by in corpus (7)

• Light-Front Holographic QCD and Emerging Confinement
• Quasi-two-body decays $B\to K\rho \to K\pi \pi$ in perturbative QCD approach
• Two-pion low-energy contribution to the muon $g-2$ with improved precision from analyticity and unitarity
• Quasi-two-body decays $B_{(s)}\to D(\rho (1450),\rho (1700))\to D\pi \pi$ in the perturbative QCD factorization approach
• Quasi-two-body decays $B_c\to D_{(s)}[\rho (770),\rho (1450),\rho (1700)\to ]\pi \pi$ in the perturbative QCD factorization approach
• Common explanation of the behavior of some $e^{+}{e}^{-}$ annihilation processes around $\sqrt{s}$ = 1.9 GeV
• Study of pion vector form factor and its contribution to the muon $(g-2)$