Analytic Structure of Three-Mass Triangle Coefficients
arXiv:0709.2086 · doi:10.1088/1126-6708/2008/04/038
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.
22 pages; v3: NMHV n=point expression added. 7 point expression removed
References in corpus (9)
- Reducing full one-loop amplitudes to scalar integrals at the integrand level
- Direct extraction of one-loop integral coefficients
- A Numerical Unitarity Formalism for Evaluating One-Loop Amplitudes
- D-dimensional unitarity cut method
- On Triple-Cut of Scattering Amplitudes
- Unitarity Cuts with Massive Propagators and Algebraic Expressions for Coefficients
- Numerical Evaluation of Six-Photon Amplitudes
- One-loop phi-MHV amplitudes using the unitarity bootstrap
- Six-Photon Amplitudes
Cited by in corpus (7)
- An Automated Implementation of On-Shell Methods for One-Loop Amplitudes
- On the Rational Terms of the one-loop amplitudes
- Direct Extraction Of One Loop Rational Terms
- Double-Cut of Scattering Amplitudes and Stokes' Theorem
- Optimizing the Reduction of One-Loop Amplitudes
- Closed-Form Decomposition of One-Loop Massive Amplitudes
- On the Cuts of Scattering Amplitudes