Add to ORKGA systematic algorithm for obtaining recurrence relations for dimensionally regularized Feynman integrals w.r.t. the space-time dimension d is proposed. The relation between d and d-2 dimensional integrals is given in terms of a differential operator for which an explicit formula can be obtained for each Feynman diagram. We show how the method works for one-, two- and three-loop integrals. The new recurrence relations w.r.t. d are complementary to the recurrence relations which derive from the method of integration by parts. We find that the problem of the irreducible numerators in Feynman integrals can be naturally solved in the framework of the proposed generalized recurrence relations. (orig.)SIGLEAvailable from TIB Hannover: RA 2999(96-...
We present a new method for the Taylor expansion of Feynman integrals with arbitrary masses and any ...
Abstract A method for reducing Feynman integrals, depending on several kinematic variables and masse...
We present a strategy for the systematization of manipulations and calculations involving divergent ...
A systematic algorithm for obtaining recurrence relations for dimensionally regularized Feynman inte...
An algorithm for calculating two-loop propagator type Feynman diagrams with arbitrary masses and ext...
We study the problem of solving integration-by-parts recurrence relations for a given class of Feynm...
In this Thesis we discuss recent ideas concerning the evaluation of multi-loop Feynman Integrals in...
We provide a comprehensive summary of concepts from Calabi-Yau motives relevant to the computation o...
Dimensionally-regulated Feynman integrals are a cornerstone of all perturbative computations in quan...
The integration by parts recurrence relations allow to reduce some Feynman integrals to more simple ...
The long-standing problem of representing the general massive one-loop Feynman integral as a meromor...
We study Feynman integrals in the representation with Schwinger parameters and derive recursive inte...
In the present dissertation we consider Feynman integrals in the framework of dimensional regulariza...
We consider new ways of obtaining series and integral representations for master integrals arising i...
Feynman integrals that have been evaluated in dimensional regularization can be written in terms of ...
We present a new method for the Taylor expansion of Feynman integrals with arbitrary masses and any ...
Abstract A method for reducing Feynman integrals, depending on several kinematic variables and masse...
We present a strategy for the systematization of manipulations and calculations involving divergent ...
A systematic algorithm for obtaining recurrence relations for dimensionally regularized Feynman inte...
An algorithm for calculating two-loop propagator type Feynman diagrams with arbitrary masses and ext...
We study the problem of solving integration-by-parts recurrence relations for a given class of Feynm...
In this Thesis we discuss recent ideas concerning the evaluation of multi-loop Feynman Integrals in...
We provide a comprehensive summary of concepts from Calabi-Yau motives relevant to the computation o...
Dimensionally-regulated Feynman integrals are a cornerstone of all perturbative computations in quan...
The integration by parts recurrence relations allow to reduce some Feynman integrals to more simple ...
The long-standing problem of representing the general massive one-loop Feynman integral as a meromor...
We study Feynman integrals in the representation with Schwinger parameters and derive recursive inte...
In the present dissertation we consider Feynman integrals in the framework of dimensional regulariza...
We consider new ways of obtaining series and integral representations for master integrals arising i...
Feynman integrals that have been evaluated in dimensional regularization can be written in terms of ...
We present a new method for the Taylor expansion of Feynman integrals with arbitrary masses and any ...
Abstract A method for reducing Feynman integrals, depending on several kinematic variables and masse...
We present a strategy for the systematization of manipulations and calculations involving divergent ...