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R. P. Feynman, “Quantum theory of gravitation,” Acta Phys. Polon. 24
1963
Earlier work this paper cites.
R. P. Feynman, Closed Loop And Tree Diagrams,
2000
Earlier work this paper cites.
D. E. Soper, “QCD calculations by numerical integration,” Phys. Rev. Lett. 81
2002
Earlier work this paper cites.
T. Gleisberg, “Automating methods to improve precision in Monte-Carlo event generation for particle colliders,” Ph.D. Thesis, University of Dresden, 2007
2007
Earlier work this paper cites.
J. H. Kühn, A. Kulesza, S. Pozzorini and M. Schulze, “Electroweak corrections to hadronic production of W bosons at large transverse momenta,” Nucl. Phys. B 797
Original
2008
Earlier work this paper cites.

Similar

S. Catani, T. Gleisberg, F. Krauss, G. Rodrigo and J. C. Winter, “From loops to trees by-passing Feynman’s theorem,” JHEP 0809
Original
2008
Cited alongside, same era.
A. Denner, S. Dittmaier, T. Kasprzik and A. Mück, “Electroweak corrections to W + jet hadroproduction including leptonic W-boson decays,” JHEP 0908
Original
2009
Cited alongside, same era.
C. F. Berger et al
Original
2009
Cited alongside, same era.
S. Catani, L. Cieri, G. Ferrera, D. de Florian and M. Grazzini, “Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO,” Phys. Rev. Lett. 103
Original
2009
Cited alongside, same era.
J. R. Andersen et al
Original

Then

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2010

A Tree-Loop Duality Relation at Two Loops and Beyond

Bierenbaum, Isabella, Catani, Stefano, Draggiotis, Petros et al.

Understand

The duality relation between one-loop integrals and phase-space integrals, developed in a previous work, is extended to higher-order loops.

The duality relation is realized by a modification of the customary +i0 prescription of the Feynman propagators, which compensates for the absence of the multiple-cut contributions that appear in the Feynman tree theorem.
We rederive the duality theorem at one-loop order in a form that is more suitable for its iterative extension to higher-loop orders.
We explicitly show its application to two- and three-loop scalar master integrals, and we discuss the structure of the occurring cuts and the ensuing results in detail.

Built on

R. P. Feynman, “Quantum theory of gravitation,” Acta Phys. Polon. 24
1963
Earlier work this paper cites.
R. P. Feynman, Closed Loop And Tree Diagrams,
2000
Earlier work this paper cites.
D. E. Soper, “QCD calculations by numerical integration,” Phys. Rev. Lett. 81
2002
Earlier work this paper cites.
T. Gleisberg, “Automating methods to improve precision in Monte-Carlo event generation for particle colliders,” Ph.D. Thesis, University of Dresden, 2007
2007
Earlier work this paper cites.
J. H. Kühn, A. Kulesza, S. Pozzorini and M. Schulze, “Electroweak corrections to hadronic production of W bosons at large transverse momenta,” Nucl. Phys. B 797
Original
2008
Earlier work this paper cites.

Similar

S. Catani, T. Gleisberg, F. Krauss, G. Rodrigo and J. C. Winter, “From loops to trees by-passing Feynman’s theorem,” JHEP 0809
Original
2008
Cited alongside, same era.
A. Denner, S. Dittmaier, T. Kasprzik and A. Mück, “Electroweak corrections to W + jet hadroproduction including leptonic W-boson decays,” JHEP 0908
Original
2009
Cited alongside, same era.
C. F. Berger et al
Original
2009
Cited alongside, same era.
S. Catani, L. Cieri, G. Ferrera, D. de Florian and M. Grazzini, “Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO,” Phys. Rev. Lett. 103
Original
2009
Cited alongside, same era.
J. R. Andersen et al
Original

Then

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

Open on alphaXiv

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Cited in the paper.

G. Bevilacqua, M. Czakon, C. G. Papadopoulos, R. Pittau and M. Worek, “Assault on the NLO Wishlist: p p → t t ¯ b b ¯ pp\to t\bar{t}b\bar{b} ,” JHEP 0909

Cited in the paper.

P. Bolzoni, F. Maltoni, S. O. Moch and M. Zaro, “Higgs production via vector-boson fusion at NNLO in QCD,” arXiv:1003.4451 [hep-ph]

Original

Cited in the paper.

C. Anastasiou, G. Dissertori and F. Stockli, “NNLO QCD predictions for the H → W W → l l ν ν H\to WW\to ll\nu\nu signal at the LHC,” JHEP 0709

Cited in the paper.

W. Kilian and T. Kleinschmidt, “Numerical Evaluation of Feynman Loop Integrals by Reduction to Tree Graphs,” arXiv:0912.3495 [hep-ph]

Original

Cited in the paper.

M. Moretti, F. Piccinini and A. D. Polosa, “A Fully Numerical Approach to One-Loop Amplitudes,” arXiv:0802.4171 [hep-ph]

Original

Cited in the paper.

S. Caron-Huot, arXiv:1007.3224 [hep-ph]

Original

Cited in the paper.