Bootstrapping a Five-Loop Amplitude Using Steinmann Relations.

@article{CaronHuot2016BootstrappingAF,
  title={Bootstrapping a Five-Loop Amplitude Using Steinmann Relations.},
  author={Simon Caron-Huot and Lance J. Dixon and Andrew J. McLeod and Matt von Hippel},
  journal={Physical review letters},
  year={2016},
  volume={117 24},
  pages={
          241601
        }
}
The analytic structure of scattering amplitudes is restricted by Steinmann relations, which enforce the vanishing of certain discontinuities of discontinuities. We show that these relations dramatically simplify the function space for the hexagon function bootstrap in planar maximally supersymmetric Yang-Mills theory. Armed with this simplification, along with the constraints of dual conformal symmetry and Regge exponentiation, we obtain the complete five-loop six-particle amplitude. 

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References

SHOWING 1-10 OF 30 REFERENCES
"J."
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)
JHEP 1401
  • 008
  • 2014
JHEP 1305
  • 135
  • 2013
JHEP 1311
  • 150
  • 2013
A 49
  • no. 41, 41LT01
  • 2016
JHEP 1602
  • 185
  • 2016
JHEP 1501
  • 027
  • 2015
JHEP 1511
  • 136
  • 2015
Nucl
  • Phys. B 896, 493
  • 2015
Int
  • J. Mod. Phys. A 29, no. 27, 1450154
  • 2014
...
1
2
3
...