The ideas behind the concept of algebraic ("integration-by-parts") algorithms for multiloop calculations are reviewed. For any topology and mass pattern, a finite iterative algebraic procedure is proved to exist which transforms the corresponding Feynman-parametrized integrands into a form that is optimal for numerical integration, with all the poles in D-4 explicitly extracted
I discuss methods of calculation of propagator diagrams (massless, those of Heavy Quark Effective Th...
A simplified differential equations approach for Master Integrals is presented. It allows to express...
In this thesis, we present new developments for the analytic calculation of multi-loop level amplitu...
An algorithm for the systematic analytical approximation of multi-scale Feynman integrals is present...
AbstractIntegration by parts reduction is a standard component of most modern multi-loop calculation...
The status of numerical evaluations of Mellin–Barnes integrals is discussed, in particular the appli...
Starting from the parametric representation of a Feynman diagram, we obtain it's well defined value ...
We present the application of a novel reduction technique for one-loop scattering amplitudes based o...
Recently, algorithms for calculation of 3-loop propagator diagrams in HQET and on-shell QCD with a h...
In this article, we present a new implementation of the Laporta algorithm to reduce scalar multi-loo...
In this thesis we discuss, within the framework of the Standard Model (SM) of particle physics, adva...
We present recent developments on the topic of the integrand reduction of scattering amplitudes. Int...
We introduce an algebro-geometrically motived integration-by-parts (IBP) re- duction method for mult...
One-loop integrands can be written in terms of a simple, process-independent basis. We show that a s...
We present an improved form of the integration technique known as NDIM (Negative Dimensional Integra...
I discuss methods of calculation of propagator diagrams (massless, those of Heavy Quark Effective Th...
A simplified differential equations approach for Master Integrals is presented. It allows to express...
In this thesis, we present new developments for the analytic calculation of multi-loop level amplitu...
An algorithm for the systematic analytical approximation of multi-scale Feynman integrals is present...
AbstractIntegration by parts reduction is a standard component of most modern multi-loop calculation...
The status of numerical evaluations of Mellin–Barnes integrals is discussed, in particular the appli...
Starting from the parametric representation of a Feynman diagram, we obtain it's well defined value ...
We present the application of a novel reduction technique for one-loop scattering amplitudes based o...
Recently, algorithms for calculation of 3-loop propagator diagrams in HQET and on-shell QCD with a h...
In this article, we present a new implementation of the Laporta algorithm to reduce scalar multi-loo...
In this thesis we discuss, within the framework of the Standard Model (SM) of particle physics, adva...
We present recent developments on the topic of the integrand reduction of scattering amplitudes. Int...
We introduce an algebro-geometrically motived integration-by-parts (IBP) re- duction method for mult...
One-loop integrands can be written in terms of a simple, process-independent basis. We show that a s...
We present an improved form of the integration technique known as NDIM (Negative Dimensional Integra...
I discuss methods of calculation of propagator diagrams (massless, those of Heavy Quark Effective Th...
A simplified differential equations approach for Master Integrals is presented. It allows to express...
In this thesis, we present new developments for the analytic calculation of multi-loop level amplitu...
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