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

TL;DR

This paper extends the antenna subtraction method to NNLO calculations for hadron colliders by deriving initial-initial antenna functions, enabling more precise predictions of jet observables.

Contribution

It introduces the derivation of one-loop initial-initial antenna functions in both unintegrated and integrated forms for the first time.

Findings

Derived unintegrated initial-initial antenna functions

Derived integrated initial-initial antenna functions

Facilitates NNLO calculations for hadron collider processes

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 view of extending the antenna subtraction method to next-to-next-to-leading order (NNLO) calculations at hadron colliders, we derive the one-loop initial-initial antenna functions in unintegrated and integrated form.