PI-PI scattering at high complex energies

We estrapolate the PI-PI amplitudes with isospin one and two in the t-channel onto the imaginary ν approximately equal to (s - u)/4msub(π) axis in the complex ν-plane by means of ''optimal'' Poisson weighted dispersion relations. The values obtained are compared with expected theoretical asymptotic behaviours and found not to be inconsistent with the possibility of a ''precocious asymptotism'' setting for imaginary ν-values