Three-point energy correlators and the celestial block expansion

We study the three-point energy correlator (EEEC), defined as a matrix element of product three detectors at different locations on celestial sphere. Lorentz symmetry implies that EEEC can be decomposed into special functions called blocks. compute blocks in an expansion around collinear limit, where approach each other The leading term is traditional $d{-}2$-dimensional four-point conformal block, and thus behaves like conformally-invariant function $d{-}2$ dimensions. obtain coefficients block decomposition for nontrivial order weakly-coupled $\mathcal{N}=4$ SYM QCD. These data allow us to make certain all-orders predictions various kinematic limits, including OPE limit double lightcone limit. also Ward identities satisfied by contact terms SYM. Finally, we planar strong coupling, determining first subleading large $\lambda$.