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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

RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses

- K. Chetyrkin, J. Kuehn, M. Steinhauser
- Physics
- 19 April 2000

In this paper the formulae are collected which are needed for the computation of the strong coupling constant and quark masses at different energy scales and for different number of active flavors.… 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

Weak radiative B-meson decay beyond leading logarithms

- K. Chetyrkin, M. Misiak, M. Munz
- Physics
- 10 December 1996

Abstract We present our results for three-loop anomalous dimensions necessary in analyzing B→Xsγ decay at the next-to-leading order in QCD. We combine them with other recently calculated… Expand

Five-Loop Running of the QCD Coupling Constant.

- P. Baikov, K. Chetyrkin, J. Kühn
- Physics, Medicine
- Physical review letters
- 28 June 2016

We analytically compute the five-loop term in the beta function which governs the running of α_{s}-the quark-gluon coupling constant in QCD. The new term leads to a reduction of the theory… Expand

Decoupling relations to O(a s 3) and their connection to low-energy theorems

- K. Chetyrkin, B. Kniehl, M. Steinhauser
- Physics
- 19 January 1998

Abstract If quantum chromodynamics (QCD) is renormalized by minimal subtraction (MS), at higher orders, the strong coupling constant αs and the quark masses mq exhibit discontinuities at the flavour… Expand

Charm and bottom quark masses: An update

- K. Chetyrkin, J. Kuhn, +4 authors C. Sturm
- Physics
- 13 July 2009

Using new four-loop results for the heavy quark vacuum polarization and new data for bottom quark production in electron-positron annihilation, an update on the determination of charm- and… Expand

High-Precision Charm-Quark Mass from Current-Current Correlators in Lattice and Continuum QCD

- I. Allison, E. Dalgic, +12 authors C. Sturm
- Physics
- 20 May 2008

We use lattice QCD simulations, with MILC configurations and HISQ $c$-quark propagators, to make very precise determinations of moments of charm-quark pseudoscalar, vector and axial-vector… Expand

Effective QCD interactions of CP-odd Higgs bosons at three loops

- K. Chetyrkin, B. Kniehl, M. Steinhauser, W. Bardeen
- Physics
- 3 July 1998

In the virtual presence of a heavy quark t, the interactiions of a CP-odd scalar boson A, with mass MA ⪡ 2Mt, with gluons and light quarks can be described by an effective Lagrangian. We analytically… Expand

R* operation corrected

- K. Chetyrkin, V. Smirnov
- Physics
- 6 September 1984

Abstract We give a corrected version of the R ∗ -operation introduced by Tkachov and one of the authors of the present paper (K.G.Ch.). Such an operation being a generalization of the R -operation… Expand

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