Unitarity cuts with massive propagators and algebraic expressions for coefficients

2006/12/31 by Ruth Britto, Bo Feng · 1 citation
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic number #Black Holes and Theoretical Physics #Generality #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Pentagon #Physics #Propagator #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Reduction (mathematics) #Spinor #Unitarity #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.75.105006

published as Phys.Rev.D75:105006,2007 · 33 pages. v2: notation modified. v3: typos fixed

openalex publication_date 2007/05/10 · arxiv created 2007/06/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In the first part of this paper, we extend the d-dimensional unitarity cut method of Anastasiou et al. to cases with massive propagators. We present formulas for integral reduction with which one can obtain coefficients of all pentagon, box, triangle and massive bubble integrals. In the second part of this paper, we present a detailed study of the phase space integration for unitarity cuts. We carry out spinor integration in generality and give algebraic expressions for coefficients, intended for automated evaluation.

Citations

• Bootstrapping one-loop QCD amplitudes with general helicities
• One-loop self-dual and N = 4 super Yang-Mills
• Seminumerical evaluation of one-loop corrections
• Connection between Feynman integrals having different values of the space-time dimension
• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Loop amplitudes in pure Yang-Mills from generalised unitarity

Cited by

• Basics of generalized unitarity