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Advances in Local Analytic Sector Subtraction: massive NLO and elements of NNLO automation

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arxiv 2503.14629 v2 pith:T6HXYLUU submitted 2025-03-18 hep-ph

classification hep-ph
keywords subtractionanalyticimplementationlocalschemesectorelementsfinal
verification ladder T0 review T1 audit T2 compute T3 formal
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In this article we present a number of developments within the scheme of Local Analytic Sector Subtraction for infrared divergences in QCD. First, we extend the scheme to deal with next-to-leading-order (NLO) singularities related to massive QCD particles in the final state. Then, we document a new implementation of the NLO subtraction scheme in the MADNKLO automated numerical framework, which is constructed to host higher-order subtraction algorithms. In particular, we discuss improvements in its performances with respect to the original implementation. Finally we describe the MADNKLO implementation of the first elements relevant to Local Analytic Sector Subtraction at next-to-next-to-leading order (NNLO), in the case of massless QCD partons in the final state.

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  1. Phase-space sectors for ordered momentum mappings in local subtraction up to N$^3$LO

    hep-ph 2025-07 conditional novelty 7.0 of 10

    A sector decomposition of phase space assigns ordered momentum mappings to antenna functions without partial fractioning, enabling simpler N3LO infrared subtraction.

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