Anomalous Cross Section from Perturbation Theory
  We present the anomalous cross section for baryon number violation in the standard model from the perturbation of large-order behavior of forward scattering amplitudes to the order $\left(\epsilon /n\right)^{8/3} \ln\left(\epsilon /n\right)$. An improved high energy behavior of the anomalous cross section is observed. We also argue that the asymptotic form of $F(\epsilon g) \equiv -g \ln \sigma_{ano} $ is given in the form: $F(\epsilon g) \rightarrow d + c \cdot \epsilon g $ for $ \epsilon g \rightarrow \infty$ with $c, d $ constants satisfying $c, d \geq 0$, and $F(\epsilon g) >0$ for all energies. The constants are not determined. 
TAekoon Lee