# Planar amplitudes in maximally supersymmetric Yang-Mills theory.

@article{Anastasiou2003PlanarAI, title={Planar amplitudes in maximally supersymmetric Yang-Mills theory.}, author={Charalampos Anastasiou and Lance J. Dixon and Zvi Bern and David A. Kosower}, journal={Physical review letters}, year={2003}, volume={91 25}, pages={ 251602 } }

The collinear factorization properties of two-loop scattering amplitudes in dimensionally regulated N=4 super-Yang-Mills theory suggest that, in the planar ('t Hooft) limit, higher-loop contributions can be expressed entirely in terms of one-loop amplitudes. We demonstrate this relation explicitly for the two-loop four-point amplitude and, based on the collinear limits, conjecture an analogous relation for n-point amplitudes. The simplicity of the relation is consistent with intuition based on…

## 327 Citations

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## References

SHOWING 1-10 OF 18 REFERENCES

Phys

- Lett. B 401, 273 (1997) [hep-ph/9702424]; Z. Bern, L.J. Dixon, D.C. Dunbar, M. Perelstein and J.S. Rozowsky, Nucl. Phys. B 530, 401
- 1998

Nucl

- Phys. B 425, 217
- 1994

Phys

- Lett. B 460, 397
- 1999

Nucl

- Phys. B 198, 474
- 1982

Phys

- Rev. Lett. 28, 1421 (1972); S.J. Brodsky, E. Gardi, G. Grunberg and J. Rathsman, Phys. Rev. D 63, 094017 (2001) [hep-ph/0002065]; B. Melić, D. Müller and K. Passek-Kumerički, Phys. Rev. D 68, 014013
- 2003

in Proc

- of the 5th International Symposium on Radiative Corrections
- 2000

Phys

- Lett. B 567, 193
- 2003

Phys

- Lett. B 84, 193
- 1979

Phys

- Lett. B 445, 168 (1998) [hep-ph/9810409]; D.A. Kosower and P. Uwer, Nucl. Phys. B 563, 477 (1999) [hepph/9903515]; Z. Bern, V. Del Duca, W.B. Kilgore and C.R. Schmidt, Phys. Rev. D 60, 116001
- 1999

Nucl

- Phys. B 552, 319
- 1999