Two-loop and n-loop vertex corrections for eikonal diagrams with massive partons

Abstract

We present the ultraviolet poles and finite terms of two-loop vertex corrections for diagrams with massive partons in the eikonal approximation. We discover and prove that the results for a set of the corrections generalize to n-loop eikonal diagrams. These results will enhance theoretical understanding and allow greater calculational accuracy for the many partonic processes where the eikonal approximation is applied.

Figures (4)

• Figure 1: Eikonal approximation
• Figure 2: One-loop vertex correction diagram
• Figure 3: Two-loop vertex correction diagram
• Figure 4: $n$-loop vertex correction diagram