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- W2040473670 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 minimal subtraction scheme at the 3-loop level in any model and for any composite operator is really possible. We calculate exactly in 4 − 2ε dimensions the 2-loop massless propagator-type integrals needed in computing 3-loop counterterms. At the 4-loop level the larger part of diagrams, consisting of those with a propagator-type subgraph and some others, has proved no more difficult. We also explain how calculations can be strikingly simplified in a certain subtraction scheme - the G-scheme. As an application of the developed methods we calculate the 3-loop contribution to σtot(e+e− →hadrons) and briefly discuss the results together with their implications for the QED β-function." @default.
- W2040473670 created "2016-06-24" @default.
- W2040473670 creator A5058665727 @default.
- W2040473670 creator A5071822320 @default.
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- W2040473670 date "1980-11-01" @default.
- W2040473670 modified "2023-10-04" @default.
- W2040473670 title "New approach to evaluation of multiloop Feynman integrals: The Gegenbauer polynomial x-space technique" @default.
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- W2040473670 doi "https://doi.org/10.1016/0550-3213(80)90289-8" @default.
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