Abstract
We compute the next-to-leading order corrections to soft-gluon radiation differentially in the one-emission phase space. We show that their contribution to the evolution of color dipoles can be obtained in a modified subtraction scheme, such that both one- and two-emission terms are amenable to Monte-Carlo integration. The two-loop cusp anomalous dimension is recovered naturally upon integration over the full phase space. We present two independent implementations of the new algorithm in the two event generators Pythia and Sherpa, and we compare the resulting fully differential simulation to the CMW scheme.
Highlights
Experiments at high-energy particle colliders have been integral to unraveling the structure of our Universe and have confirmed the validity of the Standard Model of particle physics at an unprecedented accuracy
In integrated form, they lead to the well-known two-loop cusp anomalous dimension [16,17,18,19], which is included in improved leadingorder parton showers by means of redefining the strong coupling
We have presented a calculation of the next-to-leadingorder corrections to soft-gluon radiation, differentially in the one-emission phase space
Summary
Experiments at high-energy particle colliders have been integral to unraveling the structure of our Universe and have confirmed the validity of the Standard Model of particle physics at an unprecedented accuracy. In this publication we address one of the most important aspects of next-to-leading-order parton showers, namely the simulation of the higher-order corrections to soft-gluon radiation, and we show how to implement these corrections in a fully differential form in practice In integrated form, they lead to the well-known two-loop cusp anomalous dimension [16,17,18,19], which is included in improved leadingorder parton showers by means of redefining the strong coupling. This paper is organized as follows: Section II present an analytic calculation of the local K factor due to NLO corrections to soft-gluon radiation
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