The l-loop banana amplitude from GKZ systems and relative Calabi-Yau periods
Albrecht Klemm, Christoph Nega, Reza Safari
Abstract
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.
Topics & Concepts
AmplitudePhysicsOrder (exchange)Particle physicsRelative phaseQuantum electrodynamicsFirst orderScattering amplitudeMusaceaeStatistical physicsNeutrino Physics ResearchBlack Holes and Theoretical PhysicsAlgebraic structures and combinatorial models