Antenna subtraction at NNLO with hadronic initial states: initial-final configurations

TL;DR

This paper extends the antenna subtraction method to NNLO calculations involving initial hadronic states, providing necessary subtraction terms, antenna functions, and cross-checks with known deep inelastic scattering results.

Contribution

It introduces a comprehensive extension of the antenna subtraction method to initial-final configurations at NNLO, including all relevant subtraction terms and integrated antenna functions.

Findings

Derived all necessary subtraction terms for initial-final states.

Calculated antenna functions and integrated antennae for NNLO.

Validated results against known deep inelastic scattering coefficients.

Abstract

We extend the antenna subtraction method to include initial states containing one hadron at NNLO. We present results for all the necessary subtraction terms, antenna functions, for the master integrals required to integrate them over the relevant phase space and finally for the integrated antennae themselves. Where applicable, our results are cross-checked against the known NNLO coefficient functions for deep inelastic scattering processes.