New Factorizations of Yang-Mills Amplitudes

TL;DR

This paper introduces a novel factorization pattern for tree-level Yang-Mills amplitudes, revealing hidden zeros and simplifying their structure through specific variable settings, which could improve understanding and calculations.

Contribution

It presents a new factorization approach for YM amplitudes involving setting particular Mandelstam variables and Lorentz products to zero, unveiling hidden zeros and reducing amplitudes to simpler current products.

Findings

Revealed hidden zeros in YM amplitudes.

Decomposed amplitudes into sums of lower-point amplitudes.

Simplified amplitude calculations through new factorizations.

Abstract

We propose a new factorization pattern for tree-level Yang-Mills (YM) amplitudes, where they decompose into a sum of gluings of two lower-point amplitudes by setting specific two-point non-planar Mandelstam variables within a rectangular configuration to zero. This approach manifests the hidden zeros of YM amplitudes recently identified. Furthermore, by setting specific Lorentz products involving polarization vectors to zero, the amplitudes further reduce to a sum of products of three currents. These novel factorizations provide a fresh perspective on the structure of YM amplitudes, potentially enhancing our understanding and calculation of these fundamental quantities.