Subleading Collinear Limits of Yang--Mills Amplitudes from Recursions
Abstract
We study the subleading adjacent-collinear limit of tree-level color-ordered Yang--Mills amplitudes. In general dimensions, a Lorentz null rotation transports the polarizations of collinear legs along the collinear path while preserving transversality and gauge equivalence. The finite coefficient then separates into a pole-free hard contribution, computed by a channel-deleted Berends--Giele recursion, and an explicit contribution from the adjacent factorization channel. In four dimensions, we construct the same coefficient directly from a collinear-aware Britto-Cachazo-Feng-Witten recursion whose terminal data are closed MHV and MHV̅ formulas. Both constructions apply at arbitrary momentum fraction and extend to collinear gluons with distinct polarizations; at the symmetric split, the auxiliary-vector dependence cancels for equal polarizations and for the polarization-symmetrized mixed limit. Open--closed disk relations then give a direct construction of one-graviton Einstein--Yang--Mills amplitudes and their higher-derivative string corrections from the recursively generated coefficients. A self-contained \textsc{Mathematica} implementation accompanies the paper.
Related
- Subleading Collinear Limits of Yang-Mills Amplitudes from Gravity
- Gravitational scattering amplitudes in collinear and high-energy limits
- Instanton-induced closed-string amplitudes in minimal superstring theory at subleading order
- Color-factor symmetry using perturbiner methods for tree-level amplitudes of Yang-Mills theory coupled to matter
- Consistent Scattering Amplitudes, Yang-Mills, the Higgs Mechanism and the EFTs Beyond
BibTeX
@misc{dong2026subleading,
title = {{Subleading Collinear Limits of Yang--Mills Amplitudes from Recursions}},
author = {Jin Dong and Stephan Stieberger},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.00120},
eprint = {2609.00120},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.00120},
}
RIS
TY - UNPB
TI - Subleading Collinear Limits of Yang--Mills Amplitudes from Recursions
AU - Jin Dong
AU - Stephan Stieberger
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2609.00120
UR - https://arxiv.org/abs/2609.00120
AB - We study the subleading adjacent-collinear limit of tree-level color-ordered Yang--Mills amplitudes. In general dimensions, a Lorentz null rotation transports the polarizations of collinear legs along the collinear path while preserving transversality and gauge equivalence. The finite coefficient then separates into a pole-free hard contribution, computed by a channel-deleted Berends--Giele recursion, and an explicit contribution from the adjacent factorization channel. In four dimensions, we construct the same coefficient directly from a collinear-aware Britto-Cachazo-Feng-Witten recursion whose terminal data are closed MHV and MHV̅ formulas. Both constructions apply at arbitrary momentum fraction and extend to collinear gluons with distinct polarizations; at the symmetric split, the auxiliary-vector dependence cancels for equal polarizations and for the polarization-symmetrized mixed limit. Open--closed disk relations then give a direct construction of one-graviton Einstein--Yang--Mills amplitudes and their higher-derivative string corrections from the recursively generated coefficients. A self-contained \textsc{Mathematica} implementation accompanies the paper.
ER -