Analytic Structure of Three-Mass Triangle Coefficients
N. E. J. Bjerrum-Bohr, David C. Dunbar, Warren B. Perkins
TL;DR
This paper explores the complex analytic properties of three-mass triangle integrals in one-loop gauge theory amplitudes, deriving compact formulas for specific amplitude contributions using unitarity techniques.
Contribution
It introduces new formulas for three-mass triangle coefficients in one-loop amplitudes, enhancing computational efficiency in gauge theory calculations.
Findings
Derived compact expressions for three-mass triangle coefficients.
Applied unitarity techniques to analyze singularity structures.
Provided formulas for N=1 contributions to NMHV amplitudes.
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.
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