Anomalous Cross Section from Perturbation Theory

Abstract

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 $\left(ε/n\right)^{8/3} \ln\left(ε/n\right)$. An improved high energy behavior of the anomalous cross section is observed. We also argue that the asymptotic form of $F(εg) \equiv -g \ln σ_{ano} $ is given in the form: $F(εg) \rightarrow d + c \cdot εg $ for $ εg \rightarrow \infty$ with $c, d $ constants satisfying $c, d \geq 0$, and $F(εg) >0$ for all energies. The constants are not determined.