Eur. Phys. J. C (2007) 52: 93-112
https://doi.org/10.1140/epjc/s10052-007-0365-9

Regular Article - Theoretical Physics

Diffractive production of two ρ⁰ _L mesons in e⁺e^- collisions

¹ LPT, Université Paris-Sud – CNRS, 91405, Orsay, France
² Soltan Institute for Nuclear Studies, Warsaw, Poland
³ Université de Liège, 4000, Liège, Belgium
⁴ CPHT, École Polytechnique – CNRS, 91128, Palaiseau, France

^* e-mail: Samuel.Wallon@th.u-psud.fr

Received: 15 March 2007
Revised: 30 April 2007
Published online: 27 July 2007

Abstract

We present an estimate of the cross-section for the exclusive production of a ρ_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 γ^* _L,T(Q₁ ²)γ^* _L,T(Q₂ ²)→ρ_L ⁰ρ_L ⁰, for arbitrary polarization of virtual photons and longitudinally polarized mesons, in the kinematical region s≫-t,Q₁ ²,Q₂ ². These processes are completely calculable in the hard region Q₁ ²,Q₂ ²≫Λ² _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 Q₁ ² and Q₂ ² in the range of a few GeV².