Antenna subtraction at NNLO

By Aude Gehrmann-De Ridder, Thomas Gehrmann, E. Glover. 2005

537 citations recorded by the source corpus.

The computation of exclusive QCD jet observables at higher orders requires a method for the subtraction of infrared singular configurations arising from multiple radiation of real partons. We present a subtraction scheme relevant for NNLO perturbative calculations in e+e−→ jets. The building blocks of the scheme are antenna functions derived from the matrix elements for tree-level 1→3 and 1→4 and one-loop 1→3 processes. By construction, these building blocks have the correct infrared behaviour when one or two particles are unresolved. At the same time, their integral over the antenna phase space is straightforward. As an example of how to use the scheme we compute the NNLO contributions to the subleading colour QED-like contribution to e+e−→3 jets. To illustrate the application of NNLO antenna subtraction for different colour structures, we construct the integrated forms of the subtraction terms needed for the five-parton and four-parton contributions to e+e−→3 jets at NNLO in all colour factors, and show that their infrared poles cancel analytically with the infrared poles of the two-loop virtual correction to this observable.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b62d91080b6f52de119c2ff2c92686397952d789

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In Nuclear and High Energy Physics

Citations in the corpus

Les Houches 2017: Physics at TeV Colliders Standard Model Working Group Report (2017, background): “– Antenna subtraction [125,126]: Analytically integrated counter-terms, applicable to hadronic initial and final states.”
Les Houches 2015: Physics at TeV Colliders Standard Model Working Group Report (2016, background): “– Antenna subtraction [73,74]: Analytically integrated counter-terms for hadronic initial and final states.”
General-purpose event generators for LHC physics (2011, background): “In order to cure the problem several strategies have been devised, which broadly fall into two categories: phase-space slicing methods, pioneered in [17, 18], and infrared subtraction algorithms [19–26].”
Event shapes and jet rates in electron-positron annihilation at NNLO (2009, background): “It should be mentioned that the results of this paper rely heavily on research carried out in the past years: Integration techniques for two-loop amplitudes [13–16], the calculation of the relevant tree-, one- and two-loop-amplitudes [17–29], routines for the numerical evaluation of polylogarithms [”
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 (1)The partonic cros”
Predictions for diphoton production at the LHC through NNLO in QCD (2016, methodology): “Although a variety of other methods for regularizing and combining infrared singularities have been devised [24–26], and used to provide a suite of new predictions for 2 → 2 hadron collider processes [27–32], the relative simplicity of the QT subtraction method is highly appealing [33–39].”
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].”
Sector Decomposition (2008, methodology): “The calculation of this process has recently been accomplished [88–91] using analytic “antenna” subtraction [92].”
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.”