221 citations · 571 across the 11 of their papers we have counts for
11 papers
Numerical Evaluation of Tensor Feynman Integrals in Euclidean Kinematics
Janusz Gluza, Krzysztof Kajda, Tord Riemann +1
For the investigation of higher order Feynman integrals, potentially with tensor structure, it is highly desirable to have numerical methods and automated tools for dedicated, but…
Towards a Basis for Planar Two-Loop Integrals
Janusz Gluza, Krzysztof Kajda, David A. Kosower
The existence of a finite basis of algebraically independent one-loop integrals has underpinned important developments in the computation of one-loop amplitudes in field theories a…
News on Ambre and CSectors
Janusz Gluza, Krzysztof Kajda, Tord Riemann +1
Mellin-Barnes and sector decomposition methods are used to evaluate tensorial Feynman diagrams in the Euclidean kinematical region. Few software packages are shortly described and…
New results for loop integrals: AMBRE, CSectors, hexagon
Janusz Gluza, Krzysztof Kajda, Tord Riemann +1
We report on the three Mathematica packages hexagon, CSectors, AMBRE. They are useful for the evaluation of one- and two-loop Feynman integrals with a dependence on several kinemat…
A complete reduction of one-loop tensor 5- and 6-point integrals
Th. Diakonidis, J. Fleischer, J. Gluza +3
We perform a complete analytical reduction of general one-loop Feynman integrals with five and six external legs for tensors up to rank R=3 and 4, respectively. An elegant formalis…
On the tensor reduction of one-loop pentagons and hexagons
T. Diakonidis, J. Fleischer, J. Gluza +3
We perform analytical reductions of one-loop tensor integrals with 5 and 6 legs to scalar master integrals. They are based on the use of recurrence relations connecting integrals i…