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Two-Loop Electroweak Logarithms in Four-Fermion Processes at High Energy
Bernd Jantzen, Johann H. Kühn, Alexander A. Penin +1
We present the complete analytical result for the two-loop logarithmically enhanced contributions to the high energy asymptotic behavior of the vector form factor and the four-ferm…
Applying Groebner Bases to Solve Reduction Problems for Feynman Integrals
A. V. Smirnov, V. A. Smirnov
We describe how Groebner bases can be used to solve the reduction problem for Feynman integrals, i.e. to construct an algorithm that provides the possibility to express a Feynman i…
Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
Zvi Bern, Lance J. Dixon, Vladimir A. Smirnov
We compute the leading-color (planar) three-loop four-point amplitude of N=4 supersymmetric Yang-Mills theory in 4 - 2 epsilon dimensions, as a Laurent expansion about epsilon = 0…
Two-Loop Electroweak Logarithms
Bernd Jantzen, Johann H. Kühn, Alexander A. Penin +1
We present the complete analytical result for the two-loop logarithmically enhanced contributions to the high energy asymptotic behavior of the vector form factor and the four-ferm…