A simple formula for gravitational MHV amplitudes

TL;DR

This paper presents a straightforward formula for calculating n-field tree-level MHV gravitational amplitudes, utilizing soft limit factors and a symmetric matrix determinant to naturally encode full permutation symmetry.

Contribution

Introduces a simple, symmetric determinant-based formula for gravitational MHV amplitudes rooted in soft limit factors, simplifying previous complex expressions.

Findings

Provides a compact formula for MHV gravitational amplitudes

Ensures natural full permutation symmetry in the formula

Simplifies calculations of gravitational scattering amplitudes

Abstract

A simple formula is given for the n-field tree-level MHV gravitational amplitude, based on soft limit factors. It expresses the full S_n symmetry naturally, as a determinant of elements of a symmetric (n \times n) matrix.