N-jettiness subtractions for NNLO QCD calculations

By J. Gaunt, M. Stahlhofen, F. Tackmann, Jonathan R. Walsh. 2015

312 citations recorded by the source corpus.

A bstractWe present a subtraction method utilizing the N -jettiness observable, TN , to perform QCD calculations for arbitrary processes at next-to-next-to-leading order (NNLO). Our method employs soft-collinear effective theory (SCET) to determine the IR singular contributions of N -jet cross sections for TN → 0, and uses these to construct suitable TN -subtractions. The construction is systematic and economic, due to being based on a physical observable. The resulting NNLO calculation is fully differential and in a form directly suitable for combining with resummation and parton showers. We explain in detail the application to processes with an arbitrary number of massless partons at lepton and hadron colliders together with the required external inputs in the form of QCD amplitudes and lower-order calculations. We provide explicit expressions for the TN -subtractions at NLO and NNLO. The required ingredients are fully known at NLO, and at NNLO for processes with two external QCD partons. The remaining NNLO ingredient for three or more external partons can be obtained numerically with existing NNLO techniques. As an example, we employ our results to obtain the NNLO rapidity spectrum for Drell-Yan and gluon-fusion Higgs production. We discuss aspects of numerical accuracy and convergence and the practical implementation. We also discuss and comment on possible extensions, such as more-differential subtractions, necessary steps for going to N3LO, and the treatment of massive quarks.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0a936f52fb7945060e27f68e83d7adc3f310acfc

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Citations in the corpus

Predictions for diphoton production at the LHC through NNLO in QCD (2016, methodology): “As discussed in the introduction, we will use the N -jettiness slicing technique proposed in refs [41, 42] for this task.”
Electroweak radiative corrections for collider physics (2019, methodology): “Finally, we mention another type of a slicing procedure, called (by some misleading naming) jettiness subtraction [375], which employs the event-shape variable jettiness [376] to separate IR-singular regions.”
Associated production of a Higgs boson at NNLO (2016, methodology): “Recently a new regularization scheme, based upon N -jettiness [23] has been proposed [24, 25].”
Jet substructure at the Large Hadron Collider: A review of recent advances in theory and machine learning (2017, background): “Recently a general subtraction scheme based on the N -jettiness observable [226], familiar from jet substructure, was proposed [464, 463, 478].”
NNLO QCD corrections to Higgs boson production at large transverse momentum (2016, methodology): “An independent calculation [23] used the newly developed NJettiness subtraction method [67, 68].”
Fully differential NNLO computations with MATRIX (2017, background): “cluster_submit_line[1-99] Lines in cluster submit file to add cluster-specific options.”
Les Houches 2015: Physics at TeV Colliders Standard Model Working Group Report (2016, methodology): “5 NNLO calculation of pp→ h + j The NNLO calculation for Higgs production in association with one or more jets is obtained using the N -jettiness subtraction scheme [87, 160].”
Measurements of Higgs boson properties in the diphoton decay channel with 36 fb$^{-1}$ of $pp$ collision data at $\sqrt{s} = 13$ TeV with the ATLAS detector (2018, unknown): “11 The underlying NNLO predictions are obtained using MCFM8 with zero-jettiness subtractions [136, 137].”
Collider physics at the precision frontier (2020, unknown): “method processes (NNLO unless stated otherwise) antenna subtraction e+e− → 3 jets [950, 992–995], qq̄ → tt̄ [996], pp→ H+jet [140, 144, 156], pp→ jet+X [394, 997, 998], dijets [395, 999], pp→ Z+jet [1000, 1001], pp→ γ+jet [951, 1002, 1003], pp→ Z+b-jet [1004], DIS dijet [951], DIS jet+X [1005, 1002]”