Celestial blocks and transverse spin in the three-point energy correlator

Quantitative theoretical techniques for understanding the substructure of jets at LHC enable new insights into dynamics QCD, and novel approaches to search physics. Recently, there has been a program reformulate jet in terms correlation functions, $\langle \mathcal{E}(\vec n_1) n_2) \cdots n_k) \rangle$, light-ray operators, $\mathcal{E}(\vec n)$, allowing application developed study Conformal Field Theories (CFTs). In this paper we further develop these particular context three-point correlator n_3) using recently computed perturbative data both QCD $\mathcal{N}=4$ sYM. We derive celestial blocks appearing operator product expansion (OPE) correlator, use Lorentzian inversion formula extract spectrum operators expansion, showing, particular, that OPE is analytic transverse spin. Throughout our presentation, highlight relation between approach, more standard splitting function based emphasizing utility approach incorporating symmetries calculations. hope presentation introduces number community, also illustrates phenomenological relevance limit CFT community.