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

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

2007-03-15

arxiv.org/abs/hep-ph/0703166v3

Eur.Phys.J.C52:93-112,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

38 pages, 20 figures, LATEX

Scientific paper

10.1140/epjc/s10052-007-0365-9

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.

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