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arxiv: 1601.03646 · v1 · submitted 2016-01-14 · ✦ hep-ph · hep-th· math-ph· math.MP

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A walk on sunset boulevard

Luise Adams , Christian Bogner , Stefan Weinzierl
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classification ✦ hep-ph hep-thmath-phmath.MP
keywords sunsetboulevardellipticpolylogarithmstourwalkwillall-order
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A walk on sunset boulevard can teach us about transcendental functions associated to Feynman diagrams. On this guided tour we will see multiple polylogarithms, differential equations and elliptic curves. A highlight of the tour will be the generalisation of the polylogarithms to the elliptic setting and the all-order solution for the sunset integral in the equal mass case.

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