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We introduce the computer program MPL for computations with homotopy invariant iterated integrals on moduli spaces $\mathcal{M}_{0,n}$ of curves of genus 0 with $n$ ordered marked points.
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T.G. Birthwright, E.W.N. Glover and P. Marquard, Master Integrals For Massless Two-Loop Vertex Diagrams With Three Offshell Legs , JHEP0409:042, 2004, arXiv:hep-ph/0407343
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A.B. Goncharov and Y.I. Manin, Multiple ζ \zeta -motives and moduli spaces ℳ ¯ 0 , n \bar{\mathcal{M}}_{0,n} , Compositio Math. 140 (2004), 1-14
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D. Maitre, HPL, a mathematica implementation of the harmonic polylogarithms , Comput. Phys. Commun. 174 (2006) 222 [hep-ph/0507152]
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D. Maitre, Extension of HPL to complex arguments , Comput. Phys. Commun. 183 (2012) 846 [hep-ph/0703052]
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F. Brown, Iterated integrals in quantum field theory , in A. Cardona, I. Contreras and A.F. Reyes-Lega, editors, Geometric and Topological Methods for Quantum Field Theory , chapter 5, pages 188-240, Cambridge University Press, 2013
2013
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2008
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2009
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F. Brown, Multiple zeta values and periods of moduli spaces M 0 , n M_{0,n} , Ann. Sci. Ec. Norm. Sup’er. (4) 42 (2009), 371-489, [math.AG/0606419]
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F. Brown, The massless higher-loop two-point function , Commun. Math. Phys. 287(3):925-958, (2009)
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F. Brown, On the periods of some Feynman integrals , 2009, math.AG/0910.0114
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2010
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A.B. Goncharov, M. Spradlin, C. Vergu and A. Volovich, Classical Polylogarithms for Amplitudes and Wilson Loops , Phys. Rev. Lett. 105:151605,2010, [hep-th/1006.5703]
2010
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