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2013

Graphical functions and single-valued multiple polylogarithms

Schnetz, Oliver

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Graphical functions are single-valued complex functions which arise from Feynman amplitudes.

We study their properties and use their connection to multiple polylogarithms to calculate Feynman periods.
For the zig-zag and two more families of phi^4 periods we give exact results modulo products.
These periods are proved to be expressible as integer linear combinations of single-valued multiple polylogarithms evaluated at one.

Graphical functions and single-valued multiple polylogarithms · Around

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