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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.
##### MSC:
 81T80 Simulation and numerical modelling (quantum field theory) (MSC2010) 81V05 Strong interaction, including quantum chromodynamics