Speaker
Description
We consider the 5-mass kite family of self-energy Feynman integrals and present a systematic approach for putting its associated differential equation into a convenient form (also called the epsilon or canonical form).
We show that this is most easily achieved by making a change of variables from the kinematic space to the function space of two tori with punctures.
We demonstrate how the locations of relevant punctures on these tori, which are required to parametrize the full image of the kinematic space onto this moduli space, can be extracted from integrals over the solution of homogeneous differential equations (also called maximal cuts).
A boundary value is provided to systematically solve the differential equation in terms of iterated integrals over so-called Kronecker-Eisenstein coefficients -- the equivalents of rational functions on a torus.
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