IAS Amplitudes Group Meeting
Strange Symbol Structures for a Sufficiently Supplemented Sunrise
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Abstract: The symbol is a powerful formalism used to manipulate and understand certain classes of Feynman diagrams. It can dramatically simplify expressions, reveal analytic structure, and even allow perturbative amplitudes to be bootstrapped from first principles to high loop orders. However, many classes of diagrams involve functions for which an appropriate symbol formalism is not known. The simplest such class, the sunrise diagrams, consist of a family of massive propagator corrections that can be thought of as integrals over Calabi-Yau manifolds. We explore an extension of the symbol formalism to this class of diagrams. There are many choices involved in setting up such a formalism, and we comment on the challenge of finding ways to make those choices that achieve the amplitudes community's aims.