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Integration by parts: The algorithm to calculate β-functions in 4 loops

- K. Chetyrkin, F. Tkachov
- Physics
- 23 November 1981

Abstract The following statement is proved: the counterterm for an arbitrary 4-loop Feynman diagram in an arbitrary model is calculable within the minimal subtraction scheme in terms of rational… Expand

An upper limit on electron antineutrino mass from Troitsk experiment

- V. Aseev, A. Belesev, +10 authors S. Zadorozhny
- Physics
- 25 August 2011

An electron antineutrino mass has been measured in tritium $\ensuremath{\beta}$ decay in the Troitsk $\ensuremath{\nu}$-mass experiment. The setup consists of a windowless gaseous tritium source and… Expand

A theorem on analytical calculability of 4-loop renormalization group functions

- F. Tkachov
- Physics
- 19 March 1981

A method of evaluating massless propagator-type Feynman integrals is outlined, which guarantees that the counterterm of an arbitrary 4-loop diagram can be calculated analytically within the minimal… Expand

New approach to evaluation of multiloop Feynman integrals: The Gegenbauer polynomial x-space technique

- K. Chetyrkin, A. Kataev, F. Tkachov
- Physics
- 10 November 1980

Abstract We formulate the Gegenbauer polynomial x -space technique for evaluating dimensionally regularized massless Feynman diagrams. We show that the analytical evaluation of counterterms in the… Expand

Mincer: Program for multiloop calculations in quantum field theory for the Schoonschip system

- S. G. Gorishny, S. A. Larin, L. R. Surguladze, F. Tkachov
- Mathematics
- 1 October 1989

Abstract We present a SCHOONSCHIP program for analytical computation of arbitrary massless, scalar, one-, two- and three-loop Feynman diagrams of the propagator type within dimensional… Expand

Infrared R-operation and ultraviolet counterterms in the MS-scheme

- K. Chetyrkin, F. Tkachov
- Physics
- 5 August 1982

Abstract A generalization of Bogoliubov's R-operation for subtracting a class of IR singularities is formulated and then used to develop a rather flexible method of simplifying calculations of… Expand

Measuring Multijet Structure of Hadronic Energy Flow or, What is a jet?

- F. Tkachov
- Physics
- 19 January 1996

Ambiguities of jet algorithms are reinterpreted as instability wrt small variations of input. Optimal stability occurs for observables possessing property of calorimetric continuity (C-continuity)… Expand

A THEORY OF JET DEFINITION

- F. Tkachov
- Physics
- 28 January 1999

A systematic framework for jet definition is developed from first principles of physical measurement, quantum field theory, and QCD. A jet definition is found which: • is theoretically optimal in… Expand

ϵ-Expansion for critical exponents: The O(ϵ5) approximation

- S. G. Gorishny, S. A. Larin, F. Tkachov
- Physics
- 19 March 1984

Abstract The O(ϵ 5 ) approximation to critical exponents of phase transitions of the second kind is calculated using the five-loop approximation to renormalization group functions of the g ϕ 4 model… Expand

Jets and quantum field theory

- N. Sveshnikov, F. Tkachov
- Physics
- 15 August 1996

Abstract We discuss quantum-field-theoretic interpretation of the family of observables (the so-called C-algebra) introduced by F.V. Tkachov [preprint FERMILAB-PUB-95/191-T] for a systematic… Expand

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