The massless supersymmetric ladder with L rungs

TL;DR

This paper presents a regularization-free method for calculating ladder 4-point correlators in massless N=1 supersymmetric Wess-Zumino theory, providing a conformal invariant integral representation valid at all loop orders.

Contribution

It introduces a novel computational approach for ladder correlators in supersymmetric theories that avoids regularization and yields explicit multi-loop expressions.

Findings

Derived a regularization-free calculation method.

Obtained a conformal invariant integral representation.

Explicitly computed the 3-loop ladder diagram.

Abstract

We show that in the massless N=1 supersymmetric Wess-Zumino theory it is possible to devise a computational strategy by which the x-space calculation of the ladder 4-point correlators can be carried out without introducing any regularization. As an application we derive a representation valid at all loop orders in terms of conformal invariant integrals. We obtain an explicit expression of the 3-loop ladder diagram for collinear external points.