Four-Point One-Loop Amplitude Computation in the Pure Spinor Formalism

TL;DR

This paper demonstrates that the massless 4-point one-loop amplitude computed using the pure spinor formalism matches the results obtained from the RNS formalism, confirming the consistency of the pure spinor approach.

Contribution

It provides a direct comparison and validation of the pure spinor formalism against the well-established RNS formalism for one-loop amplitude calculations.

Findings

Pure spinor formalism yields results consistent with RNS formalism.

Confirms the validity of pure spinor approach for one-loop amplitude computations.

Enhances confidence in pure spinor formalism as a tool in string theory.

Abstract

The massless 4-point one-loop amplitude computation in the pure spinor formalism is shown to agree with the computation in the RNS formalism.