A novel subtraction scheme for double-real radiation at NNLO

By Michal Czakon. 2010

378 citations recorded by the source corpus.

Abstract A general subtraction scheme, STRIPPER (SecToR Improved Phase sPacE for real Radiation), is derived for the evaluation of next-to-next-to-leading order (NNLO) QCD contributions from double-real radiation to processes with at least two particles in the final state at leading order. The result is a Laurent expansion in the parameter of dimensional regularization, the coefficients of which should be evaluated by numerical Monte Carlo integration. The two main ideas are a two-level decomposition of the phase space, the second one factorizing the singular limits of amplitudes, and a suitable parameterization of the kinematics allowing for derivation of subtraction and integrated subtraction terms from eikonal factors and splitting functions without non-trivial analytic integration.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/580400ae7781f9a9244106fd053be5bb12e7f9cc

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In Nuclear and High Energy Physics

Citations in the corpus

Infrared structure at NNLO using antenna subtraction (2013, methodology): “So far, successful applications of subtraction at NNLO to specific observables were accomplished with antenna subtraction [9], qT -subtraction [25], sector decomposition [26–29], non-linear transformations [19], and most recently with an approach based on sector-improved residue subtraction [18, 20]”
Electroweak radiative corrections for collider physics (2019, methodology): “At NNLO, several approaches [384–390], some of them based on numerical procedures, have been suggested and successfully used in QCD calculations.”
Fully differential NNLO computations with MATRIX (2017, background): “cluster_submit_line[1-99] Lines in cluster submit file to add cluster-specific options.”
N-jettiness subtractions for NNLO QCD calculations (2015, methodology): “Over the past decade enormous effort has been devoted to extend such local subtraction methods to NNLO using different approaches [7–38].”
Higgs boson production in association with a jet at next-to-next-to-leading order in perturbative QCD (2013, background): “Recently, important steps towards developing a general computational scheme valid through NNLO QCD that, at least in principle, is applicable to processes of arbitrary multiplicity, were made by Czakon [55, 56], who suggested to combine the ideas of sector decomposition [57–59] and Frixione-Kunszt-S”
NLO QCD corrections to off-shell top-antitop production with leptonic decays at hadron colliders (2012, methodology): “Later also electroweak radiative corrections were calculated [5–10], and recently important progress has been achieved both in the resummation of logarithmically enhanced terms [11–14] and towards the inclusion of QCD corrections at next-to-next-to-leading-order (NNLO) [15–25].”
NNLO QCD corrections to Higgs boson production at large transverse momentum (2016, methodology): “The NNLO corrections to Higgs-plus-jet production were initially derived for the gluons-only subprocess using a sector-improved residue subtraction scheme [65, 66] in ref.”
Les Houches 2017: Physics at TeV Colliders Standard Model Working Group Report (2017, methodology): “[136,137] an additional (artificial) sector was introduced to separate overlapping soft-collinear divergences which appear in Feynman diagrams but not in full amplitudes, and this further complicates the construction.”
Jet substructure at the Large Hadron Collider: A review of recent advances in theory and machine learning (2017, methodology): “Extending the NLO techniques, several working schemes have proven successful with colored particles in the final state [474, 475, 476, 477].”
Handbook of LHC Higgs Cross Sections: 3. Higgs Properties (2013, methodology): “[65] how to construct this extension f or double real-radiation processes at NNLO.”