548 citations · 2.7k across the 49 of their papers we have counts for
52 papers
Hypergeometric Functions and Feynman Diagrams
Mikhail Kalmykov, Vladimir Bytev, Bernd Kniehl +3
The relationship between Feynman diagrams and hypergeometric functions is discussed. Special attention is devoted to existing techniques for the construction of the -expansion.…
Counting the number of master integrals for sunrise-type Feynman diagrams via Mellin-Barnes representation
Mikhail Yu. Kalmykov, Bernd A. Kniehl
A number of irreducible master integrals for L-loop sunrise-type and bubble Feynman diagrams with generic values of masses and external momenta are explicitly evaluated via Mellin-…
Self-consistence of the Standard Model via the renormalization group analysis
Fred Jegerlehner, Mikhail Yu. Kalmykov, Bernd A. Kniehl
A short review of recent renormalization group analyses of the self-consistence of the Standard Model is presented.
HYPERDIRE: HYPERgeometric functions DIfferential REduction: MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: and Horn-type hypergeometric functions of three variables
Vladimir V. Bytev, Mikhail Yu. Kalmykov, Sven-Olaf Moch
HYPERDIRE is a project devoted to the creation of a set of Mathematica based programs for the differential reduction of hypergeometric functions. The current version includes two p…
HYPERgeometric functions DIfferential REduction: MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: Horn hypergeometric functions of two variables
V. Bytev, B. Kniehl
HYPERDIRE is a project devoted to the creation of a set of Mathematica-based programs for the differential reduction of hypergeometric functions. The current version allows for man…
About the EW contribution to the relation between pole and MS-masses of the top-quark in the Standard Model
Fred Jegerlehner, Mikhail Yu. Kalmykov, Bernd A. Kniehl
Results of our recent re-analysis of the electroweak contribution to the relation between pole and running masses of top-quark within the Standard Model is reviewed. We argue, that…