Implications of the recent high statistics determination of the pion electromagnetic form factor in the timelike region

Journal Article · Sun May 01 04:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.096002· OSTI ID:21541651

Ananthanarayan, B; Imsong, I Sentitemsu ^[1]; Caprini, Irinel ^[2]

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1. Centre for High Energy Physics, Indian Institute of Science, Bangalore 560 012 (India)
2. National Institute of Physics and Nuclear Engineering, POB MG 6, Bucharest, R-76900 (Romania)

The recently evaluated two-pion contribution to the muon g-2 and the phase of the pion electromagnetic form factor in the elastic region, known from {pi}{pi} scattering by Fermi-Watson theorem, are exploited by analytic techniques for finding correlations between the coefficients of the Taylor expansion at t=0 and the values of the form factor at several points in the spacelike region. We do not use specific parametrizations, and the results are fully independent of the unknown phase in the inelastic region. Using for instance, from recent determinations, <r{sub {pi}}{sup 2}>=(0.435{+-}0.005) fm{sup 2} and F(-1.6 GeV{sup 2})=0.243{sub -0.014}{sup +0.022}, we obtain the allowed ranges 3.75 GeV{sup -4} < or approx. c < or approx. 3.98 GeV{sup -4} and 9.91 GeV{sup -6} < or approx. d < or approx. 10.46 GeV{sup -6} for the curvature and the next Taylor coefficient, with a strong correlation between them. We also predict a large region in the complex plane where the form factor cannot have zeros.

• OSTI ID: 21541651
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 9 Vol. 83; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CORRELATIONS
DIMENSIONLESS NUMBERS
ELECTROMAGNETIC FORM FACTORS
ELEMENTARY PARTICLES
EXPANSION
FERMIONS
FORM FACTORS
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
LEPTONS
MATHEMATICS
MESON-MESON INTERACTIONS
MESONS
MUONS
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PION-PION INTERACTIONS
PIONS
PSEUDOSCALAR MESONS
STATISTICS