We present an estimate of the cross-section for the exclusive production of a ρ 0 L -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,for arbitrary polarization of virtual photons and longitudinally polarized mesons, in the kinematical region s ≫ −t, Q 2 1 , Q 2 2 . These processes are completely calculable in the hard region Q 2 1 , Q 2 2 ≫ Λ 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 2 1 and Q 2 2 in the range of a few GeV 2 .

The exclusive processallows to study various dynamics and factorization properties of perturbative QCD. At moderate energy, we demonstrate how collinear QCD factorization emerges, involving either generalized distribution amplitudes (GDA) or transition distribution amplitudes (TDA). At higher energies, in the Regge limit of QCD, we show that it offers a promising probe of the BFKL resummation effects to be studied at ILC.