Four-dimensional formulation of the sector-improved residue subtraction scheme

Abstract

Four years ago, one of us introduced a novel subtraction scheme for the evaluation of double-real radiation contributions to cross sections at next-to-next-to-leading order (NNLO) in QCD. This approach, named SecToR Improved Phase sPacE for Real radiation (STRIPPER), has already found several non-trivial applications. In particular, it has allowed for the determination of NNLO corrections to hadronic top-quark pair production, fully differential top-quark decays, inclusive semileptonic charmless b-quark decays, associated Higgs boson and jet production in gluon fusion, muon decay spin asymmetry, and t-channel single-top production. Common to these calculations was the use of conventional dimensional regularization (CDR). In this publication, we present a complete formulation of the subtraction scheme for arbitrary processes with any number of colored partons in the final state, and up to two partons in the initial state. Furthermore, we modify the integrated subtraction terms of the double-real radiation to enable the introduction of the 't Hooft-Veltman version of dimensional regularization (HV), in which resolved states are four-dimensional. We demonstrate the correctness of our approach on the example of top-quark pair production in the gluon fusion channel.

60 pages, 5 figures, 9 tables

References in corpus (11)

• Matching NLO QCD computations with Parton Shower simulations: the POWHEG method
• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• ZZ production at hadron colliders in NNLO QCD
• A novel subtraction scheme for double-real radiation at NNLO
• The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole
• On the NNLO QCD corrections to single-top production at the LHC
• Polarizing the Dipoles
• Threshold Resummation for Top-Pair Hadroproduction to Next-to-Next-to-Leading Log
• The Massive Soft Anomalous Dimension Matrix at Two Loops
• Computation of the Soft Anomalous Dimension Matrix in Coordinate Space
• Muon decay spin asymmetry

Cited by in corpus (7)

• Top-quark pair hadroproduction at next-to-next-to-leading order in QCD
• N-Jettiness Subtractions for $gg\to H$ at Subleading Power
• Analytic results for color-singlet production at NNLO QCD with the nested soft-collinear subtraction scheme
• QCD calculations for the LHC: status and prospects
• The real-virtual antenna functions for $S\to Q\bar{Q}X$ at NNLO QCD
• One-loop triple collinear splitting amplitudes in QCD
• Multi-loop calculations: numerical methods and applications