Subleading Collinear Limits of Yang-Mills Amplitudes from Gravity

@misc{dong2026subleading,
  title = {{Subleading Collinear Limits of Yang-Mills Amplitudes from Gravity}},
  author = {Jin Dong and Stephan Stieberger},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.00153},
  eprint = {2609.00153},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.00153},
}

TY  - UNPB
TI  - Subleading Collinear Limits of Yang-Mills Amplitudes from Gravity
AU  - Jin Dong
AU  - Stephan Stieberger
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.00153
UR  - https://arxiv.org/abs/2609.00153
AB  - We show that the subleading collinear sector of Yang-Mills (YM) amplitudes is controlled by ordinary Einstein-Yang-Mills (EYM) amplitudes and their higher-derivative corrections. The complete set of strict subleading collinear limits associated with an equal-helicity collinear pair can be extracted from open-closed string disk amplitudes. The latter generate 1/2 (n−3)! BCJ-like relations with non-linear kinematic coefficients, reducing the (n−3)! collinear data to a basis of dimension 1/2 (n−3)!. This reduced basis can be represented by gravitational amplitudes in EYM theories and by their higher-derivative open-string corrections. At multiplicity n this gravitational basis consists of the (n−4)! independent EYM subamplitudes together with 1/2 (n−5)(n−4)! higher-order corrections involving one graviton and n−2 gluons. The resulting decomposition is governed by unsigned Stirling numbers of the first kind: the ordinary EYM amplitudes correspond to the sector [n−3atop 1], the higher-order BCJ-like relations to even sectors [n−3atop 2j], and the higher-derivative EYM corrections to odd sectors [n−3atop 2j+1] with j≥ 1.
ER  -