Generalised Unitarity for Dimensionally Regulated Amplitudes

2015/05/21 by W. J. Torres Bobadilla, William J. Torres Bobadilla, Bobadilla, W. J. Torres +8
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.1505.05890

Presented at SILAFAE 2014, 24-28 Nov, Ruta N, Medellin, Colombia

arxiv created 2015/05/21 · openalex publication_date 2015/05/21 · arxiv updated 2015/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a novel set of Feynman rules and generalised unitarity cut-conditions for computing one-loop amplitudes via d-dimensional integrand reduction algorithm. Our algorithm is suited for analytic as well as numerical result, because all ingredients turn out to have a four-dimensional representation. We will apply this formalism to NLO QCD corrections.

Citations

• One-loop Integral Coefficients from Generalized Unitarity
• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC

Related

• Towards a Numerical Unitarity Approach for Two-loop Amplitudes in QCD
• On the Four-Dimensional Formulation of Dimensionally Regulated Amplitudes
• Multi-loop integrand reduction techniques
• Multi-gluon one-loop amplitudes numerically
• Precise evaluation of the Cut Constructible part of one loop amplitudes within D-dimensional unitarity