On Triple-Cut of Scattering Amplitudes

Abstract

It is analysed the triple-cut of one-loop amplitudes in dimensional regularisation within spinor-helicity representation. The triple-cut is defined as a difference of two double-cuts with the same particle content, and a same propagator carrying, respectively, causal and anti-causal prescription in each of the two cuts. That turns out into an effective tool for extracting the coefficients of the three-point functions (and higher-point ones) from one-loop-amplitudes. The phase-space integration is oversimplified by using residues theorem to perform the integration over the spinor variables, via the holomorphic anomaly, and a trivial integration on the Feynman parameter. The results are valid for arbitrary values of dimensions.

17 pages, 8 figures

References in corpus (2)

• D-dimensional unitarity cut method
• Holomorphic Anomaly Of Unitarity Cuts And One-Loop Gauge Theory Amplitudes

Cited by in corpus (26)

• An Automated Implementation of On-Shell Methods for One-Loop Amplitudes
• Direct extraction of one-loop integral coefficients
• A Numerical Unitarity Formalism for Evaluating One-Loop Amplitudes
• Automation of the Dipole Subtraction Method in MadGraph/MadEvent
• Direct Extraction Of One Loop Rational Terms
• S@M, a Mathematica Implementation of the Spinor-Helicity Formalism
• On the Numerical Evaluation of One-Loop Amplitudes: the Gluonic Case
• Unitarity Cuts with Massive Propagators and Algebraic Expressions for Coefficients
• Optimizing the Reduction of One-Loop Amplitudes
• Double-Cut of Scattering Amplitudes and Stokes' Theorem
• One-loop phi-MHV amplitudes using the unitarity bootstrap
• Integral Coefficients for One-Loop Amplitudes
• Closed-Form Decomposition of One-Loop Massive Amplitudes
• Six-Photon Amplitudes
• One-loop phi-MHV amplitudes using the unitarity bootstrap: the general helicity case
• One-loop MHV Rules and Pure Yang-Mills
• Analytic Structure of Three-Mass Triangle Coefficients
• Polynomial Structures in One-Loop Amplitudes
• One-Loop Gluonic Amplitudes from Single Unitarity Cuts
• Unitarity Method with Spurious Pole
• Automated calculations for multi-leg processes
• Light-by-light scattering amplitudes from generalized unitarity in massive QED
• Constructing QCD one-loop amplitudes
• A new method for the numerical evaluation of one-loop amplitudes
• Reduction of one-massless-loop with scalar boxes in $n+2$ dimensions
• On the Cuts of Scattering Amplitudes