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arXiv:2509.08594·v2·High Energy Physics — Phenomenology

Integrated subtraction terms and finite remainders for arbitrary processes with massless partons at colliders in the nested soft-collinear subtraction scheme

Federica Devoto🇺🇸 · Kirill Melnikov🇩🇪 · Raoul Röntsch🇮🇹 · Chiara Signorile-Signorile🇩🇪 · Davide Maria Tagliabue🇩🇪 · Matteo Tresoldi🇩🇪

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Abstract

We present integrated subtraction terms and finite remainders for arbitrary processes with massless partons at hadron and lepton colliders in the context of the nested soft-collinear subtraction scheme. These results provide the very last ingredients needed to make this scheme a fully local, analytic and process-independent framework for treating infrared singularities at next-to-next-to-leading order in perturbative QCD. The explicit infrared finiteness of all required contributions, as well as their process-independence, puts these results on par with subtraction schemes developed for next-to-leading order computations and opens up a clear path towards the automation of next-to-next-to-leading order computations in QCD.

Comments: 37 pages, 2 figures, 2 ancillary files, 1 readme file (this version matches that published in JHEP)

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