Sector Decomposition
By Gudrun Heinrich. 2008
186 citations recorded by the source corpus.
Sector decomposition is a constructive method to isolate divergences from parameter integrals occurring in perturbative quantum field theory. We explain the general algorithm in detail and review its application to multi-loop Feynman parameter integrals as well as infrared divergent phase-space integrals over real radiation matrix elements.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/e488bcca52e9fcef0b66015a5f56a44800c9149c
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
- P. Baikov
- K. Chetyrkin
- Thomas Gehrmann
- G. Luisoni
- Pier Francesco Monni
- Tom J. E. Zirke
- Gudrun Heinrich
In Nuclear and High Energy Physics
- Gudrun Heinrich
- G. Luisoni
- Thomas Gehrmann
- Pier Francesco Monni
- K. Chetyrkin
- P. Baikov
- Matthias Kerner
- Erik Panzer
Citations in the corpus
- Collider physics at the precision frontier (2020, background): “[793, 876], here we only sketch it and focus on the more recent developments.”
- Two-loop soft corrections and resummation of the thrust distribution in the dijet region (2011, methodology): “An independent numerical check is also performed using the computer code SecDec [84], a recent implementation of sector decomposition based on the algorithms presented in [85, 86].”
- pySecDec: A toolbox for the numerical evaluation of multi-scale integrals (2017, background): “External routines/libraries: catch [1], gsl [2], numpy [3], sympy [4], Nauty [5], Cuba [6], FORM [7], Normaliz [8].”
- Four Loop Massless Propagators: an Algebraic Evaluation of All Master Integrals (2010, methodology): “The current status of the method can be found in a review [110].”