Compact analytical form for a class of three-loop vacuum Feynman diagrams

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Compact analytical form for a class of three-loop vacuum Feynman diagrams

We present compact, fully analytical expressions for singular parts of a class of three-loop diagrams which cannot be factorized into lower-loop integrals. As a result of the calculations we obtain the analytical expression for the three-loop effective potential of the massive O(N) φ model presented recently by J.-M.Chung and B.K.Chung, Phys. Rev.D56, 6508 (1997). PACS numbers: 11.10.Gh Though ...

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/ 98 07 44 0 v 2 2 6 Ju l 1 99 8 Compact analytical form for a class of three - loop vacuum Feynman diagrams

We present compact, fully analytical expressions for singular parts of a class of three-loop diagrams which cannot be factorized into lower-loop integrals. As a result of the calculations we obtain the analytical expression for the three-loop effective potential of the massive O(N) ϕ 4 model presented recently Though Quantum Field Theory already has a long history and a number of different appr...

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X iv : h ep - p h / 98 07 44 0 v 1 2 1 Ju l 1 99 8 Compact analytical form for a class of three - loop vacuum Feynman diagrams

We present compact, fully analytical expressions for singular parts of a class of three-loop diagrams which cannot be factorized into lower-loop integrals. As a result of the calculations we obtain the analytical expression for the three-loop effective potential of the massive O(N) ϕ 4 model presented recently Though Quantum Field Theory already has a long history and a number of different appr...

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Algorithmic Calculation of Two-loop Feynman Diagrams *

In a recent paper [1] a new powerful method to calculate Feynman diagrams was proposed. It consists in setting up a Taylor series expansion in the external momenta squared. The Taylor coefficients are obtained from the original diagram by differentiation and putting the external momenta equal to zero. It was demonstrated that by a certain conformal mapping and subsequent resummation by means of...

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ژورنال

عنوان ژورنال: Journal of High Energy Physics

سال: 1998

ISSN: 1029-8479

DOI: 10.1088/1126-6708/1998/09/001