Symbol letters and bootstraps for non-polylogarithmic amplitudes

• Applicant: Professor Dr. Claude Duhr
• Subject Area: Nuclear and Elementary Particle Physics, Quantum Mechanics, Relativity, Fields
• Term: since 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 508889767

It was recently shown that a good knowledge of the space of functions in which a scattering amplitude lives can be used as a starting point to `bootstrap' the final result, without the need for any integral evaluations. This program was particularly successful in the context of scattering amplitudes in the planar N=4 Super Yang-Mills (SYM) theory that evaluate to multiple polylogarithms. The goal of this project is to explore how the bootstrap program in N=4 SYM can be extended to integrals that require non-polylogarithmic functions, especially those associated to Calabi-Yau varieties.

• DFG Programme: Research Units
• Subproject of: FOR 5582: Modern Foundations of Scattering Amplitudes
• Co-Investigators: Dr. Florian Loebbert; Professor Dr. Lorenzo Tancredi