Generalised unitarity for dimensionally regulated amplitudes within FDF

Abstract

We review the Four-Dimensional-Formulation variant of the Four-Dimensional-Helicity scheme, by showing two applications of this regularisation scheme. The first one is the computation of one-loop helicity amplitudes, for which we present preliminary results for the analytic expressions of the one-loop Higgs plus five- gluon amplitudes. In the second part, we study the Colour-Kinematics duality for off-shell diagrams in gauge theories coupled to matter, showing in a diagrammatic way that the Jacobi relations for the kinematic numerators of off-shell diagrams, built with Feynman rules in axial gauge, reduce to definite set of violating terms due to the contributions of sub-graphs only.

10 pages, 4 figures. Proceedings of the 12th International Symposium on Radiative Corrections (Radcor 2015) and LoopFest XIV (Radiative Corrections for the LHC and Future Colliders)

References in corpus (7)

• New Relations for Gauge-Theory Amplitudes
• Direct extraction of one-loop integral coefficients
• S@M, a Mathematica Implementation of the Spinor-Helicity Formalism
• On Triple-Cut of Scattering Amplitudes
• One-loop Integral Coefficients from Generalized Unitarity
• Off-shell Currents and Color-Kinematics Duality
• On the Four-Dimensional Formulation of Dimensionally Regulated Amplitudes

Cited by in corpus (3)

• To $d$, or not to $d$: Recent developments and comparisons of regularization schemes
• Causal representation of multi-loop Feynman integrands within the loop-tree duality
• BCJ Identities and $d$-Dimensional Generalized Unitarity