F.V. Tkachov

TL;DR: In this paper, it was proved that the counterterm for an arbitrary 4-loop Feynman diagram in an arbitrary model is calculable within the minimal subtraction scheme in terms of rational numbers and the Riemann ζ-function in a finite number of steps via a systematic "algebraic" procedure involving neither integration of elementary, special, or any other functions, nor expansions in and summation of infinite series of any kind.

TL;DR: In this article, a method of evaluating massless propagator-type Feynman integrals is presented, which guarantees that the counterterm of an arbitrary 4-loop diagram can be calculated analytically within the minimal substraction scheme.

TL;DR: In this article, the Gegenbauer polynomial x -space technique for evaluating dimensionally regularized massless Feynman diagrams is formulated and the analytical evaluation of counterterms in the minimal subtraction scheme at any model and for any composite operator is really possible.

TL;DR: In this article, an electron antineutrino mass has been measured in tritium decay in the Troitsk $\ensuremath{ u}$-mass experiment, and the whole data set acquired from 1994 to 2004 was reanalyzed.

TL;DR: In this paper, the α s 2 corrections to σ tot (e + e − → hadrons) in massless QCD evaluated within the minimal subtraction scheme were presented.