Maximal transcendental weight contribution of scattering amplitudes

A bstract Feynman integrals in quantum field theory evaluate to special functions and numbers that are usefully described by the notion of transcendental weight. In this paper, we propose a way of projecting a given dimensionally-regularised Feynman integral, for example contributing to a scattering...

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Published inThe journal of high energy physics Vol. 2022; no. 3; pp. 174 - 34
Main Authors Henn, Johannes M., Torres Bobadilla, William J.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2022
Springer Nature B.V
SpringerOpen
Subjects
Amplitudes
Classical and Quantum Gravitation
Duality in Gauge Field Theories
Elementary Particles
High energy physics
Integrals
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quantum theory
Regular Article - Theoretical Physics
Relativity Theory
Scattering
Scattering Amplitudes
String Theory
Duality in Gauge Field Theories
Scattering Amplitudes
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Summary:A bstract Feynman integrals in quantum field theory evaluate to special functions and numbers that are usefully described by the notion of transcendental weight. In this paper, we propose a way of projecting a given dimensionally-regularised Feynman integral, for example contributing to a scattering amplitudes, onto its maximal weight part. The method uses insights into the singularity structure of space-time loop integrands, and is complementary to usual generalised unitarity approaches. We describe the method and give a proof-of-principle application to the two-loop scattering amplitudes gg → H in the heavy top-quark mass limit, which involves both planar and non-planar Feynman integrals. We also comment on further possible applications and discuss subtleties related to evanescent integrand terms.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP03(2022)174