Abstract
Multi-collinear factorization limits provide a window to study how locality and unitarity of scattering amplitudes can emerge dynamically from celestial CFT, the conjectured holographic dual to gauge and gravitational theories in flat space. To this end, we first use asymptotic symmetries to commence a systematic study of conformal and Kac-Moody descendants in the OPE of celestial gluons. Recursive application of these OPEs then equips us with a novel holographic method of computing the multi-collinear limits of gluon amplitudes. We perform this computation for some of the simplest helicity assignments of the collinear particles. The prediction from the OPE matches with Mellin transforms of the expressions in the literature to all orders in conformal descendants. In a similar vein, we conclude by studying multi-collinear limits of graviton amplitudes in the leading approximation of sequential double-collinear limits, again finding a consistency check against the leading order OPE of celestial gravitons.
Highlights
From the viewpoint of the operator product expansions (OPE), the most natural object to study in this regard are multi-collinear limits of the amplitudes. These are maximally singular limits that recursively probe all possible factorization poles and residues. We show that these can be holographically determined by the symmetries and OPE of the dual CCFTs
We collect some standard conventions about celestial amplitudes and results for celestial gluon and graviton operator product expansions
Given the OPE algebra of the holographic dual, one should be able to work out all its correlators recursively
Summary
We collect some standard conventions about celestial amplitudes and results for celestial gluon and graviton operator product expansions. We review the basics of multi-collinear limits that will come to use later, noting relevant results from the literature
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
