Angularity Distributions at One Loop with Recoil

Angularities are a general class of event shapes which depend on a continuous parameter \(b>-1\) that interpolates between recoil-insensitive observables like thrust and observables that are maximally sensitive to recoil effects like jet broadening. We present the first analytic calculations for angularity singular cross section at one-loop order taking into account the recoil effects, irrespective of the exponent b, within the Soft Collinear Effective Theory (SCET) framework. In the differential cross section, these recoil effects contribute to new terms which can have important consequences on resummation of the large logarithms. Our one-loop fixed-order results are checked against numerical results from Event2 generator.