Colourful Antenna Subtraction for High-Multiplicity Processes
by
Aula Caldirola
Università degli Studi di Milano
In the past decade, antenna subtraction has been used to compute NNLO QCD corrections to a series of phenomenologically relevant processes. However, the application of this method proceeds in a process-dependent way, with each new calculation requiring a significant amount of work. In particular, for processes involving many coloured particles, the construction of the subtraction terms is extremely challenging due to the proliferation of infrared divergent configurations and the emergence of several structures beyond leading colour. In this talk we present an improved version of the antenna subtraction which aims at achieving an automated and process-independent generation of the subtraction terms required for a NNLO calculation, as well as at overcoming the intrinsic limitations present in the traditional formulation. In this new approach, a set of integrated dipoles is used to reproduce the known infrared singularity structure of one- and two-loop amplitudes in color space. The real-virtual and double-real subtraction terms are subsequently generated inferring their structure from the corresponding integrated subtraction terms, relying on the availability of all the required antenna functions. We demonstrate the applicability of this method on the gluonic subprocess of three-jet production at NNLO and we elaborate on the extension to the full three-jet production process.