All-order celestial OPE in the MHV sector

Tim Adamo, Wei Bu*, Eduardo Casali, Atul Sharma

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

On-shell kinematics for gluon scattering can be parametrized with points on the celestial sphere; in the limit where these points collide, it is known that tree-level gluon scattering amplitudes exhibit an operator product expansion (OPE)-like structure. While it is possible to obtain singular contributions to this celestial OPE, getting regular contributions from both holomorphic and anti-holomorphic sectors is more difficult. In this paper, we use twistor string theory to describe the maximal helicity violating (MHV) sector of tree-level, four-dimensional gluon scattering as an effective 2d conformal field theory on the celestial sphere. By organizing the OPE between vertex operators in this theory in terms of soft gluon descendants, we obtain all-order expressions for the celestial OPE which include all regular contributions in the collinear expansion. This gives new, all-order formulae for the collinear splitting function (in momentum space) and celestial OPE coefficients (in the conformal primary basis) of tree-level MHV gluon scattering. We obtain these results for both positive and negative helicity gluons, and for any incoming/outgoing kinematic configuration within the MHV sector.

Original languageEnglish
Article number252
Journal Journal of High Energy Physics
Issue number3
Publication statusPublished - 31 Mar 2023

Keywords / Materials (for Non-textual outputs)

  • Conformal and W Symmetry
  • Scattering Amplitudes
  • Topological Strings


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