Numerical evaluation of phase space integrals by sector decomposition

By Thomas Binoth, Gudrun Heinrich. 2004

176 citations recorded by the source corpus.

Abstract In a series of papers we have developed the method of iterated sector decomposition for the calculation of infrared divergent multi-loop integrals. Here we apply it to phase space integrals to calculate a contribution to the double real emission part of the e + e − →2 jets cross section at NNLO. The explicit cancellation of infrared poles upon summation over all possible cuts of a given topology is worked out in detail for a specific example.

Subfields: Electrical and Electronic Engineering, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c6e9a539addca3f63bf6f80e78d990425b7de1ff

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The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Electrical and Electronic Engineering

1. E. Glover
2. V. Duca
3. G. Somogyi
4. Z. Trocsanyi
5. J. Currie
6. S. Wells
7. F. Tackmann
8. Jonathan R. Walsh

In Nuclear and High Energy Physics

1. Gudrun Heinrich
2. J. Currie
3. S. Wells
4. E. Glover
5. Jonathan R. Walsh
6. V. Duca
7. G. Somogyi
8. J. Gaunt

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]”
• Sector Decomposition (2008, background): “A rapid development [23, 24] lead to the calculation of ee → 2 jets at O(α(2)s) [24].”
• 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].”
• A subtraction scheme for computing QCD jet cross sections at NNLO: regularization of doubly-real emissions (2006, methodology): “Next, the overlapping singularities are disentangled using sector decomposition [54, 55, 56, 57, 58, 59].”