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Integration by parts: The algorithm to calculate β-functions in 4 loops
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 rationalExpand
An upper limit on electron antineutrino mass from Troitsk experiment
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 andExpand
A theorem on analytical calculability of 4-loop renormalization group functions
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 minimalExpand
New approach to evaluation of multiloop Feynman integrals: The Gegenbauer polynomial x-space technique
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 theExpand
Mincer: Program for multiloop calculations in quantum field theory for the Schoonschip system
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 dimensionalExpand
Infrared R-operation and ultraviolet counterterms in the MS-scheme
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 ofExpand
Measuring Multijet Structure of Hadronic Energy Flow or, What is a jet?
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 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 inExpand
ϵ-Expansion for critical exponents: The O(ϵ5) approximation
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 modelExpand
Jets and quantum field theory
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 systematicExpand