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 $F(ϵg)\equiv -g\ln {\sigma }_{ano}$ is given in the form: $F(ϵg)\to d+c\cdot ϵg$ for $ϵg\to \infty$ with $c,d$ constants satisfying $c,d\ge 0$, and $F(ϵg)>0$ for all energies. The constants are not determined.

Comments: 19 pages