The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory

@article{Bern2007TheFP,
  title={The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory},
  author={Zvi Bern and Michal Czakon and Lance J. Dixon and David A. Kosower and Vladimir A. Smirnov},
  journal={Physical Review D},
  year={2007},
  volume={75},
  pages={085010}
}
We present an expression for the leading-color (planar) four-loop four-point amplitude of N = 4 supersymmetric Yang-Mills theory in 4-2{epsilon} dimensions, in terms of eight separate integrals. The expression is based on consistency of unitarity cuts and infrared divergences. We expand the integrals around {epsilon} = 0, and obtain analytic expressions for the poles from 1/{epsilon}{sup 8} through 1/{epsilon}{sup 4}. We give numerical results for the coefficients of the 1/{epsilon}{sup 3} and… 
The four-loop cusp anomalous dimension in $ \mathcal{N} $ = 4 super Yang-Mills and analytic integration techniques for Wilson line integrals
A bstractCorrelation functions of Wilson lines are relevant for describing the infrared structure of scattering amplitudes. We develop a new method for evaluating a wide class of such Wilson line
The four-loop cusp anomalous dimension in N = 4 super Yang-Mills and analytic integration techniques for Wilson line integrals
Correlation functions of Wilson lines are relevant for describing the infrared structure of scattering amplitudes. We develop a new method for evaluating a wide class of such Wilson line integrals,
Four-loop cusp anomalous dimension from obstructions
We introduce a method for extracting the cusp anomalous dimension at L loops from four-gluon amplitudes in N=4 Yang-Mills without evaluating any integrals that depend on the kinematical invariants.
Higgs-regularized three-loop four-gluon amplitude in $ \mathcal{N} = 4 $ SYM: exponentiation and Regge limits
We compute the three-loop contribution to the $ \mathcal{N} = 4 $ supersymmetric Yang-Mills planar four-gluon amplitude using the recently-proposed Higgs IR regulator of Alday, Henn, Plefka, and
Analytic result for the two-loop six-point NMHV amplitude in $ \mathcal{N} = {4} $ super Yang-Mills theory
A bstractWe provide a simple analytic formula for the two-loop six-point ratio function of planar $ \mathcal{N} = {4} $ super Yang-Mills theory. This result extends the analytic knowledge of
Five-point amplitudes in N=4 super-Yang-Mills theory and N=8 supergravity
We present the complete integrands of five-point superamplitudes in N = 4 super-Yang-Mills theory and N = 8 supergravity, at one and two loops, for four-dimensional external states and D-dimensional
The soft-collinear bootstrap: $ \mathcal{N} = {4} $ Yang-Mills amplitudes at six- and seven-loops
A bstractInfrared divergences in scattering amplitudes arise when a loop momentum ℓ becomes collinear with a massless external momentum p. In gauge theories, it is known that the L-loop logarithm of
Six-Gluon amplitudes in planar $$ \mathcal{N} $$ = 4 super-Yang-Mills theory at six and seven loops
Abstract We compute the six-particle maximally-helicity-violating (MHV) and next-to-MHV (NMHV) amplitudes in planar maximally supersymmetric Yang-Mills theory through seven loops and six loops,
One-Loop One-Point Functions in Gauge-Gravity Dualities with Defects.
TLDR
The calculation of loop corrections to correlation functions in 4D defect conformal field theories (dCFTs) is initiated and it is shown that only two Feynman diagrams contribute to the one-loop correction to theOne-point function of any single-trace operator.
...
...

References

SHOWING 1-10 OF 73 REFERENCES
Ann
Aaron Beck’s cognitive therapy model has been used repeatedly to treat depression and anxiety. The case presented here is a 34-year-old female law student with an adjustment disorder with mixed
Phys
  • Lett. B 595, 521
  • 2004
Nucl
  • Phys. B 664, 131
  • 2003
Phys
  • Lett. B 557, 114
  • 2003
Phys
  • Lett. B 401, 273
  • 1997
Phys
  • Rev. D 72, 085001
  • 2005
Phys
  • Rev. D 69, 046002
  • 2004
Phys
  • Rev. D 42, 4222
  • 1990
Nucl
  • Phys. B 636, 99
  • 2002
Phys
  • Rev. Lett. 91, 251602
  • 2003
...
...