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The massless higher-loop two-point function · Around

2008

The massless higher-loop two-point function

Brown, Francis

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We introduce a new method for computing massless Feynman integrals analytically in parametric form.

An analysis of the method yields a criterion for a primitive Feynman graph $G$ to evaluate to multiple zeta values.
The criterion depends only on the topology of $G$, and can be checked algorithmically.
As a corollary, we reprove the result, due to Bierenbaum and Weinzierl, that the massless 2-loop 2-point function is expressible in terms of multiple zeta values, and generalize this to the 3, 4, and 5-loop cases.

Built on

K. T. Chen
1977
Earlier work this paper cites.
C. Itzykson, J.B. Zuber
1980
Earlier work this paper cites.
D. Broadhurst
1986
Earlier work this paper cites.
C. Reutenauer
1993
Earlier work this paper cites.
D. Broadhurst, D. Kreimer
1995
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2004
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2006
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