Solving for tadpole coefficients in one-loop amplitudes

2009/04/30 by Ruth Britto, Bo Feng · 26 citations
Engineering · Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Geometry #Loop (graph theory) #Mathematical analysis #Mathematical physics #Mathematics #Particle Accelerators and Free-Electron Lasers #Particle physics theoretical and experimental studies #Physics #Propagator #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Tadpole (physics) #hep-ph #hep-th

paper · pdf · doi:10.1016/j.physletb.2009.10.038

published in Physics Letters B 681(4), 376-381 (Elsevier BV) · 9 pages. v2: Eq. (28) corrected, typos fixed, minor improvements

openalex publication_date 2009/10/18 · arxiv created 2011/01/17 · arxiv updated 2011/01/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

One-loop amplitudes may be expanded in a basis of scalar integrals multiplied by rational coefficients. We relate the coefficient of the one-point integral to the coefficients of higher-point integrals, by considering the effects of introducing an additional, unphysical propagator, subject to certain conditions.

Citations

• One-loop Integral Coefficients from Generalized Unitarity
• Reduction method for dimensionally regulatedone-loop N-point Feynman integrals
• Reduction of one-loop tensor 5-point integrals
• Direct extraction of one-loop integral coefficients
• Recursive numerical calculus of one-loop tensor integrals
• Reduction formalism for dimensionally regulated one-loop N-point integrals
• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Masses, fermions and generalized D-dimensional unitarity
• Unitarity cuts with massive propagators and algebraic expressions for coefficients