One-loop $N$-point correlators in pure gravity

TL;DR

This paper introduces a straightforward algebraic recursion method for calculating complete one-loop N-graviton correlators in pure gravity, accurately accounting for symmetry factors and combinatorics involving gravitons and ghosts.

Contribution

It presents a novel algebraic recursion formula that simplifies the computation of one-loop N-graviton correlators, including symmetry and combinatorial factors.

Findings

Provides a recursive formula for one-loop N-graviton correlators.

Automatically accounts for symmetry factors and ghost contributions.

Streamlines calculations in pure gravity loop amplitudes.

Abstract

In this work we propose a simple algebraic recursion for the complete one-loop integrands of $N$-graviton correlators. This formula automatically yields the correct symmetry factors of individual diagrams, taking into account both the graviton and the ghost loop, and seamlessly controlling the related combinatorics.