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We evaluate analytically higher terms of the epsilon-expansion of thethree-loop master integrals corresponding to three-loop quark and gluon formfactors and to the three-loop master integrals contributing to the electron g-2in QED up to the transcendentality weight typical to four-loop calculations,i.e. eight and seven, respectively. The calculation is based on a combinationof a method recently suggested by one of the authors (R.L.) with othertechniques: sector decomposition implemented in FIESTA, the method ofMellin--Barnes representation, and the PSLQ algorithm.

the journal of high energy physics/the journal of high energy physics

Analytic Epsilon Expansions of Master Integrals Corresponding to  Massless Three-Loop Form Factors and Three-Loop g-2 up to Four-Loop  Transcendentality Weight