Diffractive production of two rho^0_L mesons in e^+e^- collisions

Abstract

We present an estimate of the cross-section for the exclusive production of a rho_L^0-meson pair in e^+e^- scattering, which will be studied in the future high energy International Linear Collider. For this aim, we complete calculations of the Born order approximation of the amplitudes gamma^*_{L,T}(Q_1^2) gamma^*_{L,T}(Q_2^2) -> rho_L^0 rho_L^0, for arbitrary polarization of virtual photons and longitudinally polarized mesons, in the kinematical region s >> -t, Q_1^2, Q_2^2. These processes are completely calculable in the hard region Q_1^2, Q_2^2 >> Lambda^2_{QCD} and we perform most of the calculations in an analytical way. The resulting cross-section turns out to be large enough for this process to be measurable with foreseen luminosity and energy, for Q_1^2 and Q_2^2 in the range of a few GeV^2.

38 pages, 20 figures, LATEX

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• Hard Pomeron-Odderon interference effects in the production of pi^+pi^- pairs in high energy gamma-gamma collisions at the LHC
• Vector quarkonia at the LHC with JETHAD: A high-energy viewpoint
• Diffractive deeply virtual Compton scattering
• Double vector meson production in $\gamma \gamma$ interactions at hadronic colliders
• Double vector meson production in the International Linear Collider
• Studying QCD factorizations in exclusive gamma* gamma* -> rho^0_L rho^0_L
• Vector Meson production from NLL BFKL
• QCD Factorizations in Exclusive gamma* gamma* -> rho0_L rho0_L