Diffractive production of two rho^0_L mesons in e^+e^- collisions
M. Segond, L. Szymanowski, S. Wallon
TL;DR
The paper estimates the cross-section for the exclusive diffractive production of a ρ^0_L meson pair in e^+e^- collisions, relevant for future International Linear Collider studies. It completes the Born-order calculation of the amplitudes γ^*_{L,T}(Q1^2) γ^*_{L,T}(Q2^2) → ρ_L^0 ρ_L^0 for arbitrary photon polarizations in the kinematic region s ≫ -t with Q1^2, Q2^2 ≫ Λ_QCD, providing analytical results in the hard regime. The authors show the resulting cross-section is large enough to be measurable with forthcoming luminosity and energy for Q1^2 and Q2^2 in the few GeV^2 range. This work offers a concrete theoretical prediction for diffractive two-ρ production in ee collisions, supplying a clean environment to test perturbative QCD dynamics and BFKL behavior against DGLAP expectations.
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.