The light-ray OPE and conformal colliders

A bstract We derive a nonperturbative, convergent operator product expansion (OPE) for null-integrated operators on the same null plane in CFT. The objects appearing are light-ray operators, whose matrix elements can be computed by generalized Lorentzian inversion formula. For example, of average energy (ANEC) has an that appear stress-tensor OPE. An important application is to collider event shapes. OPE gives nonperturbative shapes special functions we call celestial blocks. As apply block energy-energy correlators $$ \mathcal{N} N = 4 Super Yang-Mills theory. Using known data, find perfect agreement with previous results both at weak and strong coupling, make new predictions coupling through loops (NNNLO).