English

New multiple soft theorem from split-helicity amplitude decomposition

High Energy Physics - Theory 2025-12-09 v2

Abstract

We investigate the soft decomposition of tree-level gluon amplitudes with split-helicity configurations. First, we show how any split-helicity amplitude can be fully fixed from inverse soft limit using BCFW calculation. We show how the double and triple soft theorems can manifest beyond perturbative calculations through split-helicity decomposition. Next, we obtain a compact formula for the corresponding soft operator which is a simple combination of individual single soft operators. Then we generate the leading and sub-leading soft factors using soft momentum expansion, to compare with results derived from standard calculation.

Keywords

Cite

@article{arxiv.2503.13363,
  title  = {New multiple soft theorem from split-helicity amplitude decomposition},
  author = {Andriniaina Narindra Rasoanaivo and Fanomezantsoa Arlivah Andriantsarafara},
  journal= {arXiv preprint arXiv:2503.13363},
  year   = {2025}
}
R2 v1 2026-06-28T22:23:53.282Z