Built on

G. ’t Hooft, A Planar Diagram Theory for Strong Interactions
1974
Earlier work this paper cites.
L. Avdeev, O. Tarasov, and A. Vladimirov, Vanishing of the three loop charge renormalization function in a supersymmetric gauge theory
1980
Earlier work this paper cites.
O. Tarasov, A. Vladimirov, and A. Y. Zharkov, The Gell-Mann-Low Function of QCD in the Three Loop Approximation
1980
Earlier work this paper cites.
W. van Neerven, Infrared behavior of on-shell form-factors in a N=4 supersymmetric Yang-Mills field theory
1986
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, One loop n point gauge theory amplitudes, unitarity and collinear limits
1994
Earlier work this paper cites.
J. Vermaseren, Axodraw
1994
Earlier work this paper cites.
T. van Ritbergen, J. Vermaseren, and S. Larin, The Four loop beta function in quantum chromodynamics
1997
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. Dunbar, M. Perelstein, and J. Rozowsky, On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences
1998
Earlier work this paper cites.
T. van Ritbergen, A. Schellekens, and J. Vermaseren, Group theory factors for Feynman diagrams
1999
Earlier work this paper cites.
V. Del Duca, L. J. Dixon, and F. Maltoni, New color decompositions for gauge amplitudes at tree and loop level
2000
Earlier work this paper cites.
D. Binosi and L. Theussl, JaxoDraw: A Graphical user interface for drawing Feynman diagrams
2004
Earlier work this paper cites.
M. Czakon, “DiaGen.” http://www-zeuthen.desy.de/theory/capp2005/Course/czakon/, 2005
2005
Earlier work this paper cites.
R. Britto, F. Cachazo, and B. Feng, Generalized unitarity and one-loop amplitudes in N=4 super-Yang-Mills
2005
Earlier work this paper cites.

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2012

Color-kinematic Duality for Form Factors

Boels, Rutger H., Kniehl, Bernd A., Tarasov, Oleg V. et al.

Understand

Recently a powerful duality between color and kinematics has been proposed for integrands of scattering amplitudes in quite general gauge theories.

In this paper the duality proposal is extended to the more general class of gauge theory observables formed by form factors.
After a discussion of the general setup the existence of the duality is verified in two- and three-loop examples in four dimensional maximally supersymmetric Yang-Mills theory which involve the stress energy tensor multiplet.
In these cases the duality reproduces known results in a particularly transparent and uniform way.

Built on

G. ’t Hooft, A Planar Diagram Theory for Strong Interactions
1974
Earlier work this paper cites.
L. Avdeev, O. Tarasov, and A. Vladimirov, Vanishing of the three loop charge renormalization function in a supersymmetric gauge theory
1980
Earlier work this paper cites.
O. Tarasov, A. Vladimirov, and A. Y. Zharkov, The Gell-Mann-Low Function of QCD in the Three Loop Approximation
1980
Earlier work this paper cites.
W. van Neerven, Infrared behavior of on-shell form-factors in a N=4 supersymmetric Yang-Mills field theory
1986
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, One loop n point gauge theory amplitudes, unitarity and collinear limits
1994
Earlier work this paper cites.
J. Vermaseren, Axodraw
1994
Earlier work this paper cites.
T. van Ritbergen, J. Vermaseren, and S. Larin, The Four loop beta function in quantum chromodynamics
1997
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. Dunbar, M. Perelstein, and J. Rozowsky, On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences
1998
Earlier work this paper cites.
T. van Ritbergen, A. Schellekens, and J. Vermaseren, Group theory factors for Feynman diagrams
1999
Earlier work this paper cites.
V. Del Duca, L. J. Dixon, and F. Maltoni, New color decompositions for gauge amplitudes at tree and loop level
2000
Earlier work this paper cites.
D. Binosi and L. Theussl, JaxoDraw: A Graphical user interface for drawing Feynman diagrams
2004
Earlier work this paper cites.
M. Czakon, “DiaGen.” http://www-zeuthen.desy.de/theory/capp2005/Course/czakon/, 2005
2005
Earlier work this paper cites.
R. Britto, F. Cachazo, and B. Feng, Generalized unitarity and one-loop amplitudes in N=4 super-Yang-Mills
2005
Earlier work this paper cites.