The NLO time-like rho meson electromagnetic form factors are obtained by analytic continuation of space-like NLO results, with twist-3 contributions dominating and predictions consistent with BABAR.
Electromagnetic form factors of light vector mesons
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abstract
The electromagnetic form factors G_E(q^2), G_M(q^2), and G_Q(q^2), charge radii, magnetic and quadrupole moments, and decay widths of the light vector mesons rho^+, K^{*+} and K^{*0} are calculated in a Lorentz-covariant, Dyson-Schwinger equation based model using algebraic quark propagators that incorporate confinement, asymptotic freedom, and dynamical chiral symmetry breaking, and vector meson Bethe-Salpeter amplitudes closely related to the pseudoscalar amplitudes obtained from phenomenological studies of pi and K mesons. Calculated static properties of vector mesons include the charge radii and magnetic moments: r_{rho+} = 0.61 fm, r_{K*+} = 0.54 fm, and r^2_{K*0} = -0.048 fm^2; mu_{rho+} = 2.69, mu_{K*+} = 2.37, and mu_{K*0} = -0.40. The calculated static limits of the rho-meson form factors are similar to those obtained from light-front quantum mechanical calculations, but begin to differ above q^2 = 1 GeV^2 due to the dynamical evolution of the quark propagators in our approach.
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Next-to-leading-order time-like rho electromagnetic form factors in ${k_{\rm T}}$ factorization
The NLO time-like rho meson electromagnetic form factors are obtained by analytic continuation of space-like NLO results, with twist-3 contributions dominating and predictions consistent with BABAR.