Numerical evaluation of phase space integrals by sector decomposition

T. Binoth, Gudrun Heinrich

Type: Article

Publication Date: 2004-06-22

Citations: 157

DOI: https://doi.org/10.1016/j.nuclphysb.2004.06.005

View Publication

Download PDF

Locations

Nuclear Physics B - View
arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Numerical evaluation of multi-loop integrals by sector decomposition	2004	T. Binoth Gudrun Heinrich
+	Sector Decompositions	2012	Vladimir A. Smirnov
+ PDF Chat	Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)	2008	Alexander V. Smirnov M. Tentyukov
+ PDF Chat	Calculation of Momentum Space Integrals	2001
+	Evaluating scattering amplitudes with pySecDec 1.6	2023	Vitaly Magerya
+	Numerical Evaluation of Path Integrals	1989	Fumiaki Shibata Miki Watabe Harumi Kawasaki Natsuki Hashitsume
+	SECTOR DECOMPOSITION	2008	Gudrun Heinrich
+ PDF Chat	Functional Integral in Phase Space	1978	Akihide Oguchi
+ PDF Chat	Numerical evaluation of loop integrals	2006	Charalampos Anastasiou Alejandro Daleo
+	Phase Space Path Integral for the Dirac Equation	1998	János Polónyi
+	Evaluating scattering amplitudes with pySecDec 1.6	2023	Vitaly Magerya
+	The numerical evaluation of Hadamard finite-part integrals	1981	D. F. Paget
+	Phase space analysis in numerical integration of ordinary differential equations	1974	Bernard E. Howard
+	Numerical evaluation of a fixed-amplitude variable-phase integral	2008	J. N. Lyness
+ PDF Chat	Semiclassical Trace Formulas in Terms of Phase Space Path Integrals	2001	Ayumu Sugita
+	Semiclassical trace formulas in terms of phase space path integrals	2000	歩杉田
+	Phase integral techniques	2014
+ PDF Chat	Sector decomposition via computational geometry	2010	T. Kaneko Takahiro Ueda
+	Sector decomposition via computational geometry	2011	T. Kaneko Takahiro Ueda
+	Sector decomposition via computational geometry	2010	T. Kaneko Takahiro Ueda

Works That Cite This (138)

Action	Title	Year	Authors
+ PDF Chat	A geometric method of sector decomposition	2010	T. Kaneko Takahiro Ueda
+ PDF Chat	Electroweak production of top-quark pairs in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>e</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>e</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math>annihilation at NNLO in QCD: The vector current contributions	2014	Jun Gao Hua Xing Zhu
+ PDF Chat	The two-loop soft function for heavy quark pair production at future linear colliders	2015	Andreas von Manteuffel Robert M. Schabinger Hua Xing Zhu
+	Top-quark pole mass extraction at NNLO accuracy, from total, single- and double-differential cross sections for $t\bar{t}+X$ production at the LHC	2023	M. V. Garzelli Javier Mazzitelli S. -O. Moch Oleksandr Zenaiev
+ PDF Chat	Antenna subtraction at NNLO	2005	A. Gehrmann–De Ridder T. Gehrmann E. W. N. Glover
+ PDF Chat	Four loop massless propagators: An algebraic evaluation of all master integrals	2010	P.A. Baikov K.G. Chetyrkin
+ PDF Chat	Two-loop QCD corrections to the helicity amplitudes for H → 3 partons	2012	T. Gehrmann M. Jaquier E. W. N. Glover Athanasios Koukoutsakis
+ PDF Chat	Collider physics at the precision frontier	2021	Gudrun Heinrich
+ PDF Chat	Matching of singly- and doubly-unresolved limits of tree-level QCD squared matrix elements	2005	G. Somogyi Zoltán László Trócsányi Vittorio Del Duca
+	Master integrals for four-loop massless propagators up to weight twelve	2011	Roman N. Lee Alexander V. Smirnov Vladimir A. Smirnov

Works Cited by This (36)

Action	Title	Year	Authors
+ PDF Chat	A complete (ααs)calculation of the photon + 1 jet rate in e+ e− annihilation	1998	A. Gehrmann–De Ridder E. W. N. Glover
+ PDF Chat	A new method for real radiation at next-to-next-to-leading order	2004	Charalampos Anastasiou Kirill Melnikov Frank Petriello
+ PDF Chat	All-Orders Singular Emission in Gauge Theories	2003	David A. Kosower
+ PDF Chat	Two-loop amplitudes with nested sums: Fermionic contributions to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mi>−</mml:mi></mml:mrow></mml:msup></mml:mrow><mml:mo>→</mml:mo><mml:mi>q</mml:mi><mml:mrow><mml:mrow><mml:mover><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:…	2002	S. Moch Peter Uwer Stefan Weinzierl
+ PDF Chat	Two-loop correction to Bhabha scattering	2001	Zvi Bern Lance J. Dixon A. Ghinculov
+ PDF Chat	An automatized algorithm to compute infrared divergent multi-loop integrals	2000	T. Binoth Gudrun Heinrich
+ PDF Chat	A numerical method for NNLO calculations	2003	Gudrun Heinrich
+ PDF Chat	Subtraction terms at NNLO	2003	Stefan Weinzierl
+ PDF Chat	One-loop splitting amplitudes in gauge theory	1999	David A. Kosower Peter Uwer
+ PDF Chat	Two-loop QCD helicity amplitudes for massless quark-massless gauge boson scattering	2003	E. W. N. Glover María Elena Tejeda-Yeomans