Speaker
Description
The peak region in heavy quark production is best described in boosted heavy quark effective theory, where its mass is integrated out. Within this approach the cross section can be factorized into hard, jet and soft func- tions, and large logs associated with the mass can be summed up to all orders.
In this talk we present the computation of the missing pieces to get the bHQET thrust and heavy-jet-mass distributions with non-vanishing secondary quark masses at NNLO: the jet and hard functions. The differ- ence with respect to the massless case is encoded in the massive bubble diagrams. For its computation we use a dispersive integral method that permits expressing the result as an analytic, fast-converging expansion in powers of a small parameter rather than integrals that can only be solved numerically.
We also obtained the matching coefficient that shows up when integrat- ing out the secondary quark mass as well. It is necessary for a continuous top-down running and to verify a very important consistency check.
