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A framework for second-order parton showers. (English) Zbl 1372.81147
Summary: A framework is presented for including second-order perturbative corrections to the radiation patterns of parton showers. The formalism allows to combine \(\mathcal{O}(\alpha_s^2)\)-corrected iterated \(2 \rightarrow 3\) kernels for “ordered” gluon emissions with tree-level \(2 \rightarrow 4\) kernels for “unordered” ones. The combined Sudakov evolution kernel is thus accurate to \(\mathcal{O}(\alpha_s^2)\). As a first step towards a full-fledged implementation of these ideas, we develop an explicit implementation of \(2 \rightarrow 4\) shower branchings in this letter.
81T80 Simulation and numerical modelling (quantum field theory) (MSC2010)
81V05 Strong interaction, including quantum chromodynamics
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