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M. Tentyukov

Publications and source records attributed to M. Tentyukov.

25 records · Page 2Linked to original sources

Non factorizable $O(αα_s)$ corrections to the process $Z\to b\bar{b}$

We evaluate non factorizable $O(αα_s)$ corrections to the process $Z\to b\bar{b}$ due to the virtual t-quark. All two-loop vertex diagrams with $W$'s and charged ghosts $Φ$'s are included. They are evaluated in the large top-mass expansion up to the $10^{th}$ order. Gluon Bremsstrahlung is taken into account by integrating over the whole phase space. All calculations, including Bremsstrahlung, are done in dimensional regularization. The expansion coefficients of the large mass expansion are given in closed form. Their expansion in $y=m_Z^2/4m_W^2$ is in agreement with the coefficients up to $O(m_W^6/m_t^6)$ as given by Harlander et al.

hep-ph↗

A Feynman Diagram Analyser DIANA

A C-program DIANA (DIagram ANAlyser) for the automatic Feynman diagram evaluation is presented. It consists of two parts: the analyzer of diagrams and the interpreter of a special text manipulating language. This language is used to create a source code for analytical or numerical evaluations and to keep the control of the process in general.

hep-ph↗

Multi-Loop Calculations in the Standard Model: Techniques and applications

We present a review of the Bielefeld-Dubna activities on the multiloop calculations. In the first part a C-program DIANA (DIagram ANAlyser) for the automation of Feynman diagram evaluations is presented, in the second part various techniques for the evaluation of scalar diagrams are described, based on the Taylor expansion method and large mass expansion.

hep-ph↗

Towards Automatic Analytic Evaluation of Massive Feynman Diagrams

A method to calculate two-loop self-energy diagrams of the Standard Model is demonstrated. A direct physical application is the calculation of the two-loop electroweak contribution to the anomalous magnetic moment of the muon ${1/2}(g-2)_μ$. Presently we confine ourselves to a ``toy'' model with only $μ$, $γ$ and a scalar particle (Higgs). The algorithm is implemented as a package of computer programs in FORM. For generating and automatically evaluating any number of two-loop self-energy diagrams, a special C-program has been written. This program creates the initial FORM-expression for every diagram generated by QGRAF, executes the corresponding subroutines and sums up the final results.

hep-ph↗