Master integrals for massless three-loop form factors

Details Master integrals for massless three-loop form factors Master integrals for massless three-loop form factors

2010-01-18

arxiv.org/abs/1001.3132v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, 1 figure; talk given at RADCOR 2009 - 9th International Symposium on Radiative Corrections (Applications of Quantum F

Scientific paper

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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