Antenna subtraction at NNLO with hadronic initial states: double real initial-initial configurations

TL;DR

This paper derives the complete set of initial-initial double real radiation antenna functions in integrated form, advancing the antenna subtraction method for NNLO calculations at hadron colliders.

Contribution

It introduces the first comprehensive derivation of initial-initial antenna functions in integrated form for NNLO hadron collider computations.

Findings

Derived full set of initial-initial antenna functions

Enables more precise NNLO calculations for hadron collider observables

Supports extension of antenna subtraction method to NNLO

Abstract

The antenna subtraction method handles real radiation contributions in higher order corrections to jet observables. The method is based on antenna functions, which encapsulate all unresolved radiation between a pair of hard radiator partons. To apply this method to compute hadron collider observables, initial-initial antenna functions with both radiators in the initial state are required in unintegrated and integrated forms. In view of extending the antenna subtraction method to next-to-next-to-leading order (NNLO) calculations at hadron colliders, we derive the full set of initial-initial double real radiation antenna functions in integrated form.