The Non-Global Structure of the Integrated Jet Mass Distribution in e^+ e^- Collisions Using a Cone Jet Algorithm in Soft-Collinear Effective Theory
Dr. Robert Schabinger (Universidad Autónoma de Madrid)

Despite much recent progress, the threshold resummation of a large class of dijet observables at e^+ e^- colliders remains an open problem. The soft function for this class of dijet observables exhibits a non-global structure which can develop logarithmic singularities in particular regions of phase-space. This non-global structure is most clearly seen at the level of the soft function's contribution to the integrated dijet observable distribution and shows up there as a function which depends non-trivially on a ratio of dimensionful scales. It is also well-known that the non-global structure depends on the jet algorithm used to define the jets. In this talk we present recent results for the non-global structure which appears in a thrust-like jet mass observable when one employs a cone algorithm centered on the thrust axis. Furthermore, we show that, in the narrow-jet limit, this non-global structure reduces to the non-global structure that appears when one uses the simpler hemisphere jet algorithm. This equivalence is somewhat surprising and suggests that it may ultimately be possible to control the non-global structure that arises in the more realistic case of a thrust cone algorithm, at least in the narrow-jet limit.