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A. I. Davydychev, A simple formula for reducing Feynman diagrams to scalar integrals
1991
Earlier work this paper cites.
O. Tarasov, Connection between Feynman integrals having different values of the space-time dimension
1996
Earlier work this paper cites.
T. Hahn and M. Perez-Victoria, Automatized one loop calculations in four-dimensions and D-dimensions
1999
Earlier work this paper cites.
J. Fleischer, F. Jegerlehner, and O. Tarasov, Algebraic reduction of one-loop Feynman graph amplitudes
2000
Earlier work this paper cites.
Presented at 5th Les Houches Workshop on Physics at TeV Colliders, Les Houches, France, 11 – 29 June 2007. [arXiv:0803.0494]
Original
Z. Bern et al · 2007
Earlier work this paper cites.
Talk held at Conference on Frontiers in Perturbative Quantum Field Theory, 14 – 16 June 2007, ZiF, Bielefeld, Germany. Transparencies: fleischer-bielefeld-2007-talk.pdf
J. Fleischer, Application of Mellin-Barnes representations to the calculation of massive five-point functions in bhabha scattering · 2007
Earlier work this paper cites.
J. Gluza and T. Riemann, New results for 5-point functions
2007
Earlier work this paper cites.

Similar

J. Gluza and T. Riemann, A New treatment of mixed virtual and real IR-singularities
2007
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J. Gluza, K. Kajda, T. Riemann, and V. Yundin, New results for loop integrals: AMBRE, CSectors, hexagon
2008
Cited alongside, same era.
T. Diakonidis, J. Fleischer, J. Gluza, K. Kajda, T. Riemann, and J. Tausk, On the tensor reduction of one-loop pentagons and hexagons
Original
2008
Cited alongside, same era.
Proceedings of the 6th Workshop on Physics at TeV colliders, 8 – 26 June 2009, Les Houches, France. Dedicated to Thomas Binoth. [arXiv:1003.1241]
Original
J. Andersen et al · 2009
Cited alongside, same era.
T. Diakonidis, J. Fleischer, J. Gluza, K. Kajda, T. Riemann, and J. Tausk, A complete reduction of one-loop tensor 5- and 6-point integrals
Original
2009

Then

J. Fleischer and T. Riemann, Complete algebraic reduction of one-loop tensor Feynman integrals
Original
2011
Later among the works it cites.
J. Fleischer and T. Riemann, Calculating contracted tensor Feynman integrals
Original
2011
Later among the works it cites.
J. Fleischer, T. Riemann, and V. Yundin, PJFry: A C++ package for tensor reduction of one-loop Feynman integrals
2011
Later among the works it cites.
A. van Hameren, Oneloop: For the evaluation of one-loop scalar functions
Original
2011
Later among the works it cites.
J. Blümlein, S. Moch, and Tord Riemann (eds.), Loops and Legs in Quantum Field Theory
2012
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2012

Efficient contraction of 1-loop N-point tensor integrals

Fleischer, Jochem, Gluza, Janusz, Gluza, Marek et al.

Understand

A new approach for the reduction of tensor integrals is described.

The standard decomposition \`{a} la Davydychev is applied.
Integrals with higher indices are then expressed in terms of scalar higher-dimensional integrals with generic indices.
The approach allows to perform contractions with external momenta in a particularly efficient manner.

Built on

A. I. Davydychev, A simple formula for reducing Feynman diagrams to scalar integrals
1991
Earlier work this paper cites.
O. Tarasov, Connection between Feynman integrals having different values of the space-time dimension
1996
Earlier work this paper cites.
T. Hahn and M. Perez-Victoria, Automatized one loop calculations in four-dimensions and D-dimensions
1999
Earlier work this paper cites.
J. Fleischer, F. Jegerlehner, and O. Tarasov, Algebraic reduction of one-loop Feynman graph amplitudes
2000
Earlier work this paper cites.
Presented at 5th Les Houches Workshop on Physics at TeV Colliders, Les Houches, France, 11 – 29 June 2007. [arXiv:0803.0494]
Original
Z. Bern et al · 2007
Earlier work this paper cites.
Talk held at Conference on Frontiers in Perturbative Quantum Field Theory, 14 – 16 June 2007, ZiF, Bielefeld, Germany. Transparencies: fleischer-bielefeld-2007-talk.pdf
J. Fleischer, Application of Mellin-Barnes representations to the calculation of massive five-point functions in bhabha scattering · 2007
Earlier work this paper cites.
J. Gluza and T. Riemann, New results for 5-point functions
2007
Earlier work this paper cites.

Similar

J. Gluza and T. Riemann, A New treatment of mixed virtual and real IR-singularities
2007
Cited alongside, same era.
J. Gluza, K. Kajda, T. Riemann, and V. Yundin, New results for loop integrals: AMBRE, CSectors, hexagon
2008
Cited alongside, same era.
T. Diakonidis, J. Fleischer, J. Gluza, K. Kajda, T. Riemann, and J. Tausk, On the tensor reduction of one-loop pentagons and hexagons
Original
2008
Cited alongside, same era.
Proceedings of the 6th Workshop on Physics at TeV colliders, 8 – 26 June 2009, Les Houches, France. Dedicated to Thomas Binoth. [arXiv:1003.1241]
Original
J. Andersen et al · 2009
Cited alongside, same era.
T. Diakonidis, J. Fleischer, J. Gluza, K. Kajda, T. Riemann, and J. Tausk, A complete reduction of one-loop tensor 5- and 6-point integrals
Original
2009

Then

J. Fleischer and T. Riemann, Complete algebraic reduction of one-loop tensor Feynman integrals
Original
2011
Later among the works it cites.
J. Fleischer and T. Riemann, Calculating contracted tensor Feynman integrals
Original
2011
Later among the works it cites.
J. Fleischer, T. Riemann, and V. Yundin, PJFry: A C++ package for tensor reduction of one-loop Feynman integrals
2011
Later among the works it cites.
A. van Hameren, Oneloop: For the evaluation of one-loop scalar functions
Original
2011
Later among the works it cites.
J. Blümlein, S. Moch, and Tord Riemann (eds.), Loops and Legs in Quantum Field Theory
2012
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

T. Hahn, Feynman Diagram Calculations with FeynArts, FormCalc, and LoopTools

2010

Cited alongside, same era.

Report of the SM and NLO Multileg and SM MC Working Groups for the Workshop ’Physics at TeV Colliders’, Les Houches, France, 31 May – 8 June, 2011. See [arXiv:1203.1488] and [arXiv:1203.6803]

Original

J. Alcaraz Maestre et al · 2011

Cited alongside, same era.

J. Fleischer, J. Gluza, M. Gluza, and T. Riemann, OLEC project; C++ and Mathematica packages OLEC v.0.9 available at Silesian Univ., Katowice, webpage http://prac.us.edu.pl/~gluza/olec/

Cited in the paper.

J. Fleischer, J. Gluza, K. Kajda, T. Riemann, and V. Yundin, Hexagon project; Mathematica package hexagon.m v.1.0 available at Silesian Univ., Katowice, from http://prac.us.edu.pl/~gluza/hexagon/packages/hexagon.m

Cited in the paper.

J. Fleischer, T. Riemann, and V. Yundin, New developments in PJFry

Cited in the paper.

V. Yundin, Massive loop corrections for collider physics

2012

Closest in time.