Antenna subtraction for jet production observables in full colour at NNLO

TL;DR

This paper details the calculation of full colour NNLO QCD corrections to jet production at the LHC using antenna subtraction, including subleading colour contributions for dijet processes.

Contribution

It introduces methods to construct NNLO subtraction terms for subleading colour contributions in dijet production within the antenna subtraction framework.

Findings

Successfully constructed NNLO subtraction terms for subleading colour contributions.

Provided full colour matrix elements for $pp o jj$ at NNLO.

Enhanced the antenna subtraction method for complex colour structures.

Abstract

We describe the details of the calculation of the full colour NNLO QCD corrections to jet production observables at the LHC with antenna subtraction. All relevant matrix elements for the process $pp \to jj$ at NNLO in full colour are colour-decomposed and given in a $N_c$ and $n_f$ expansion, making identification of leading and subleading colour contributions transparent. The colour-ordered antenna subtraction method has previously successfully been used to construct the NNLO subtraction terms for processes with up to five partons or in the leading colour approximation. However, it is challenged by the more involved subleading colour structure of the squared matrix elements in processes with six or more partons. Here, we describe the methods needed to successfully construct the NNLO subtraction terms for the subleading colour contributions to dijet production within the antenna subtraction formalism.