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arxiv 1001.3132 v1 pith:NJRQK7IF submitted 2010-01-18 hep-ph

Master integrals for massless three-loop form factors

classification hep-ph
keywords epsilonexpansionformintegralsmasslessmasterthree-loopanalytically
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We summarize the results for the master integrals of the three-loop quark and gluon form factor in massless QCD. Working in dimensional regularization we extract poles up to 1/epsilon^6. The computational techniques involve, among others, the expansion of higher transcendental functions and the Mellin-Barnes method. The coefficients of the Laurent expansion in epsilon are given either analytically or numerically to high precision.

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