English

Can Locality, Unitarity, and Hidden Zeros Completely Determine Tree-Level Amplitudes?

High Energy Physics - Theory 2026-04-09 v1

Abstract

In this note, we address the question of whether locality, unitarity, and newly discovered hidden zeros can completely determine tree-level amplitudes, from the perspective of soft limit. We reconstruct the single-soft theorems of tree YM amplitudes and the double-soft theorems of tree NLSM amplitudes from locality, unitarity, and hidden zeros. A series of studies have shown that the full YM and NLSM amplitudes can be constructed from these soft theorems; therefore, we conclude that locality, unitarity, and hidden zeros completely determine the tree-level YM and NLSM amplitudes.

Keywords

Cite

@article{arxiv.2604.07195,
  title  = {Can Locality, Unitarity, and Hidden Zeros Completely Determine Tree-Level Amplitudes?},
  author = {Kang Zhou},
  journal= {arXiv preprint arXiv:2604.07195},
  year   = {2026}
}

Comments

25 pages, 3 figures