Analytic Results for Massless Three-Loop Form Factors

Abstract

We evaluate, exactly in d, the master integrals contributing to massless three-loop QCD form factors. The calculation is based on a combination of a method recently suggested by one of the authors (R.L.) with other techniques: sector decomposition implemented in FIESTA, the method of Mellin--Barnes representation, and the PSLQ algorithm. Using our results for the master integrals we obtain analytical expressions for two missing constants in the ep-expansion of the two most complicated master integrals and present the form factors in a completely analytic form.

minor revisions, to appear in JHEP

References in corpus (9)

• Algorithm FIRE -- Feynman Integral REduction
• Quark and gluon form factors to three loops
• Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)
• Sector Decomposition
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• On the Resolution of Singularities of Multiple Mellin-Barnes Integrals
• Nine-Propagator Master Integrals for Massless Three-Loop Form Factors
• Master Integrals for Fermionic Contributions to Massless Three-Loop Form Factors
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