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arXiv:hep-ph/9801380·v1·High Energy Physics — Phenomenology

Two-loop three-gluon vertex in zero-momentum limit

A. I. Davydychev (Bergen, Moscow)🇳🇴 · P. Osland (Bergen, DESY)🇳🇴 · O. V. Tarasov (DESY-Zeuthen)🇩🇪

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Abstract

The two-loop three-gluon vertex is calculated in an arbitrary covariant gauge, in the limit when one of the external momenta vanishes. The differential Ward-Slavnov-Taylor (WST) identity related to this limit is discussed, and the relevant results for the ghost-gluon vertex and two-point functions are obtained. Together with the differential WST identity, they provide another independent way for calculating the three-gluon vertex. The renormalization of the results obtained is also presented.

Comments: 22 pages, LaTeX, including 4 figures, uses epsf

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