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arXiv:0709.2086·v3·High Energy Physics — Phenomenology

Analytic Structure of Three-Mass Triangle Coefficients

N. E. J. Bjerrum-Bohr🇺🇸 · David C. Dunbar🇬🇧 · Warren B. Perkins🇬🇧

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Abstract

``Three-mass triangles'' are a class of integral functions appearing in one-loop gauge theory amplitudes. We discuss how the complex analytic properties and singularity structures of these amplitudes can be combined with generalised unitarity techniques to produce compact expressions for three-mass triangle coefficients. We present formulae for the N=1 contributions to the n-point NMHV amplitude.

Comments: 22 pages; v3: NMHV n=point expression added. 7 point expression removed

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