Antenna subtraction at NNLO with hadronic initial states: double real radiation for initial-initial configurations with two quark flavours

TL;DR

This paper develops and integrates initial-initial four-parton antenna functions with two quark flavours for NNLO QCD corrections in hadron-hadron collisions, enhancing precision in jet observable calculations.

Contribution

It introduces the construction and integration of initial-initial four-parton antenna functions with two quark flavours for NNLO subtraction formalism.

Findings

Derived phase space master integrals for initial-initial antenna functions.

Obtained integrated antenna functions for double real radiation contributions.

Enhanced the antenna subtraction method for hadron collider processes.

Abstract

The antenna subtraction formalism allows to calculate QCD corrections to jet observables. Within this formalism, the subtraction terms are constructed using antenna functions describing all unresolved radiation between a pair of hard radiatior partons. In this paper, we focus on the subtraction terms for double real radiation contributions to jet observables in hadron-hadron collisions evaluated at NNLO. An essential ingredient to these subtraction terms are the four-parton antenna functions with both radiators in the initial state. We outline the construction of the double real subtraction terms, classify all relevant antenna functions and describe their integration over the relevant antenna phase space. For the initial-initial antenna functions with two quark flavours, we derive the phase space master integrals and obtain the integrated antennae.