Non-local slicing approaches for NNLO QCD in MCFM

preprint2022arXivOpen access

Abstract

We present the implementation of several processes at Next-to-Next-to Leading Order (NNLO) accuracy in QCD in the parton-level Monte Carlo program MCFM. The processes treated are pp→Hpp\to H, W±W^\pm, ZZ, W±HW^\pm H, ZHZH, W±γW^\pmγ, ZγZγ and γγγγ and, for the first time in the code, W+W−W^+W^-, W±ZW^\pm Z and ZZZZ. Decays of the unstable bosons are fully included, resulting in a flexible fully differential Monte Carlo code. The NNLO corrections have been calculated using two non-local slicing approaches, isolating the doubly unresolved region by cutting on the zero-jettiness, T0{\cal T}_0, or on qTq_T, the transverse momentum of the colour singlet final-state particles. We find that for most, but not all processes the qTq_T slicing method leads to smaller power corrections for equal computational burden.

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