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The Galois coaction on the electron anomalous magnetic moment · Around

2017

The Galois coaction on the electron anomalous magnetic moment

Schnetz, Oliver

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Laporta published a partial result on the fourth order QED contribution to the electron anomalous magnetic moment $g-2$.
This result contains explicit polylogarithmic parts with fourth and sixth roots of unity.
In this note we convert Laporta's result into the motivic `$f$ alphabet'.

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M. Kontsevich, D. Zagier
2001
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P. Deligne, A. Goncharov
2005
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A. B. Goncharov
2005
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J. Blümlein, D. J. Broadhurst, J. A. M. Vermaseren
2010
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P. Deligne
2010
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J. Ablinger, J. Blümlein, C. Schneider
2011
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