CoLoRFulNNLO for hadron collisions: integrating the iterated single unresolved subtraction terms

TL;DR

This paper analytically integrates subtraction terms in a NNLO scheme for hadron collisions, enabling precise calculations of color-singlet production by expressing results as convolutions with the Born cross section.

Contribution

It introduces an analytic integration method for iterated subtraction terms in the CoLoRFulNNLO scheme, facilitating more accurate NNLO calculations in hadron collider physics.

Findings

Integrated subtraction terms expressed as parametric integrals.

The approximate cross section written as a convolution with the Born cross section.

Method enables standard tools to evaluate integrals efficiently.

Abstract

We present the analytic integration of the iterated single-unresolved subtraction terms in the extension of the CoLoRFulNNLO subtraction scheme to color-singlet production in hadron collisions. We exploit the fact that, in this scheme, subtraction terms are defined through momentum mappings which lead to exact phase space convolutions for real emissions. This allows us to write the integrated subtraction terms as parametric integrals, which can be evaluated using standard tools. Finally, we show that the integrated iterated single-unresolved approximate cross section can be written as a convolution of the Born cross section with an appropriately defined insertion operator.