English

All-order celestial OPE from on-shell recursion

High Energy Physics - Theory 2023-10-17 v2

Abstract

We determine tree level, all-order celestial operator product expansions (OPEs) of gluons and gravitons in the maximally helicity violating (MHV) sector. We start by obtaining the all-order collinear expansions of MHV amplitudes using the inverse soft recursion relations that they satisfy. These collinear expansions are recast as celestial OPE expansions in bases of momentum as well as boost eigenstates. This shows that inverse soft recursion for MHV amplitudes is dual to OPE recursion in celestial conformal field theory.

Keywords

Cite

@article{arxiv.2305.11851,
  title  = {All-order celestial OPE from on-shell recursion},
  author = {Lecheng Ren and Anders Schreiber and Atul Sharma and Diandian Wang},
  journal= {arXiv preprint arXiv:2305.11851},
  year   = {2023}
}

Comments

26 pages, no figures; v2: matches published version

R2 v1 2026-06-28T10:39:31.130Z