CoLoRFulNNLO for hadron collisions: regularizing initial-state double real emissions

TL;DR

This paper extends the CoLoRFulNNLO subtraction scheme to handle initial-state double real emissions in hadron collisions, providing explicit counterterms and momentum mappings to improve the calculation of QCD processes.

Contribution

The paper introduces a complete set of local counterterms and momentum mappings for initial-state emissions, enhancing the CoLoRFulNNLO scheme's applicability to hadron collision processes.

Findings

Validated IR limits with arbitrary-precision algebra

Implemented in NNLOCAL Monte Carlo program

Demonstrated efficiency with a small number of counter-events

Abstract

We present the extension of the completely local subtraction scheme CoLoRFulNNLO to color-singlet production in hadron collisions. We provide explicit momentum mappings and the complete set of double-real counterterms required for this class of processes. The counterterms are systematically derived from the known infrared limit formulae of QCD matrix elements, and particular care has been taken to ensure their analytic integrability. The resulting construction involves a relatively small number of counter-events, preserving the locality and efficiency of the scheme. All formulae have been implemented within the publicly available NNLOCAL Monte Carlo program, and we explicitly validate all IR limits using arbitrary-precision computer algebra and present representative results. The counterterms presented here constitute a self-contained subset applicable to general hadronic processes within the CoLoRFulNNLO approach.