Conformal Symmetry and Pion Form Factor: Space- and Time-like Region

Abstract

We extend a recent analysis of the pion electromagnetic form factor constrained by the conformal symmetry to explore the time-like region. We show explicitly that the time-like form factor obtained by the analytic continuation of the space-like form factor correctly satisfies the dispersion relation. Our results indicate that the quark spin and dynamical mass effects are crucial to yield the realistic features of the vector meson dominance phenomena.

8pages, 6figures, changed sentences regarding on the soft-wall AdS/QCD predictions, added references

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• The pion: an enigma within the Standard Model
• Variational Analysis of Mass Spectra and Decay Constants for Ground State Pseudoscalar and Vector Mesons in Light-Front Quark Model
• Consistency of the light-front quark model with chiral symmetry in the pseudoscalar meson analysis
• Light front distribution of the chiral condensate
• Meson-Nucleon Coupling from AdS/QCD
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• Electromagnetic pion and kaon form factors in light-cone resummed perturbative QCD
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• Time-like pion electromagnetic form factors in $k_T$ factorization with the Next-to-leading-order twist-3 contribution
• Boost operators in Coulomb-gauge QCD: the pion form factor and Fock expansions in phi radiative decays
• Chiral anomaly and the pion properties in the light-front quark model