New Factorizations of Yang-Mills Amplitudes
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.
Keywords
Cite
@article{arxiv.2406.08969,
title = {New Factorizations of Yang-Mills Amplitudes},
author = {Alfredo Guevara and Yong Zhang},
journal= {arXiv preprint arXiv:2406.08969},
year = {2025}
}
Comments
6+2 pages. Added a co-author, a new section, and clarifying explanations; updated references. Main results unchanged