388 citations · 1k across the 46 of their papers we have counts for
5 papers · 1 filter
Euclidean asymptotic expansions of Green functions of quantum fields (II) Combinatorics of the asymptotic operation
G. B. Pivovarov, F. V. Tkachov
The results of part I (hep-ph/9612284) are used to obtain full asymptotic expansions of Feynman diagrams renormalized within the MS-scheme in the regimes when some of the masses an…
Euclidean asymptotic expansions of Green functions of quantum fields (I) Expansions of products of singular functions
Fyodor V. Tkachov
The problem of asymptotic expansions of Green functions in perturbative QFT is studied for the class of Euclidean asymptotic regimes. Phenomenological applications are analyzed to…
On dimensional regularization and mathematical rigour
Fyodor V. Tkachov
The controversy concerning the phenomenon of breakdown of dimensional regularization in the problems involving asymptotic expansions of Feynman diagrams in non-Euclidean regimes is…
Algebraic algorithms for multiloop calculations. The first 15 years. What's next?
Fyodor V. Tkachov
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 algebra…
Measuring Multijet Structure of Hadronic Energy Flow Or What IS A Jet?
Fyodor V. Tkachov
Ambiguities of jet algorithms are reinterpreted as instability wrt small variations of input. Optimal stability occurs for observables possessing property of calorimetric continuit…