Four-particle phase space integrals in massless QCD
By Aude Gehrmann-De Ridder, Thomas Gehrmann, Gudrun Heinrich. 2003
152 citations recorded by the source corpus.
The inclusive four-particle phase space integral of any 1→4 matrix element in massless QCD contains divergences due to the soft and collinear emission of up to two particles in the final state. We show that any term appearing in this phase space integral can be expressed as linear combination of only four master integrals. These four master integrals are all computed in dimensional regularisation up to their fourth order terms, relevant to next-to-next-to-leading order jet calculations, both in an analytic form and purely numerically. New analytical and numerical techniques are developed in this context. We introduce the tripole parametrisation of the four-parton phase space. Furthermore, we exploit unitarity relations between multi-parton phase space integrals and multi-loop integrals. For the numerical calculation, the iterated sector decomposition of loop integrals is extended to phase space integrals. The results in this paper lead to infrared subtraction terms needed for the double real radiation contributions to jet physics in e+e− annihilation at the next-to-next-to-leading order.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/9ad54600d44f01f0f3fcc79be55aeba42cc6a6ff
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In Nuclear and High Energy Physics
- Gudrun Heinrich
- G. Luisoni
- Thomas Gehrmann
- Stefan Weinzierl
- A. Daleo
- A. Gehrmann-De Ridder
- E. Glover
- Erik Panzer
Citations in the corpus
- Antenna subtraction at NNLO with hadronic initial states: initial-final configurations (2009, methodology): “The explicit evaluation is very similar to the evaluation of inclusive four-point phase space integrals, described in [112].”
- Sector Decomposition (2008, methodology): “A hybrid approach can consist for example in the reduction of the phase space integrals to cut master integrals, evaluating only the master integrals by sector decomposition [21].”
- A subtraction scheme for computing QCD jet cross sections at NNLO: regularization of doubly-real emissions (2006, unknown): “[19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29].”
- 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 [”