  Medium and high energy absorptive parts contribute to dispersive expressions
for D- wave scattering lengths, $a^0_2$ and $a^2_2$. For the model employed by
Basdevant, Frogatt and Peterson we find the D- wave driving term contributions
to the D- wave scattering lengths are $1.8\cdot 10^{-4}$ to $a^0_2$ and
$0.4\cdot 10^{-4}$ to $a^2_2$, roughly $10\%$ and $30\%$ of their respective
  central experimental values. Inequivalent sets of sum rules are used as a
compelling test of the consistency of the model for which crossing symmetry is
not guaranteed. Results for the F- wave scattering length $a^1_3$ are
presented, completing the recent Roy equation analysis of \pipi scattering in
the range for $a^0_0$ favored by standard chiral perturbation theory.

High Energy Physics - Phenomenology