Anomalous dimensions in QFT and CFT

by Johan Henriksson (CERN)

Monday 29 Sept 2025, 15:00 → 17:00 Europe/Berlin

SR2Joshua Davies (U. Liverpool)Joshua Davies (U. Liverpool)Joshua Davies (U. Liverpool)Joshua Davies (U. Liverpool)Jasd

I will discuss the computation of anomalous dimensions of different types of composite operators, and its importance in modern conformal field theory (CFT) including the conformal bootstrap. For twist-2 operators, analyticity in spin can be understood from the Lorentzian inversion formula in CFT. For subleading composite operators, the operator bases developed for effective field theories are perfectly suited for CFT applications. With new multiloop anomalous dimensions in the (4-epsilon)-expansion we can perform a precision comparison with non-perturbative operator spectra for several experimentally relevant CFTs in three dimensions.