The l-loop banana amplitude from GKZ systems and relative Calabi-Yau periods

A bstract We use the GKZ description of periods and certain classes of relative periods on families of Barth-Nieto Calabi-Yau ( l − 1)-folds in order to solve the l -loop banana amplitudes with their general mass dependence. As examples we compute the mass dependencies of the banana amplitudes up to...

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Bibliographic Details
Published in:The journal of high energy physics 2020-04, Vol.2020 (4), p.1-40, Article 88
Main Authors: Klemm, Albrecht, Nega, Christoph, Safari, Reza
Format: Article
Language:English
Subjects:
Amplitudes
Classical and Quantum Gravitation
Differential and Algebraic Geometry
Elementary Particles
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scattering Amplitudes
String Theory
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Summary:A bstract We use the GKZ description of periods and certain classes of relative periods on families of Barth-Nieto Calabi-Yau ( l − 1)-folds in order to solve the l -loop banana amplitudes with their general mass dependence. As examples we compute the mass dependencies of the banana amplitudes up to the three-loop case and check the results against the known results for special mass values.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP04(2020)088