Multiloop calculations in HQET

Details Multiloop calculations in HQET Multiloop calculations in HQET

2002-11-21

arxiv.org/abs/hep-ph/0211328v1

Nucl.Instrum.Meth. A502 (2003) 610-612

Physics

High Energy Physics

High Energy Physics - Phenomenology

Talk at ACAT'2002 (Moscow)

Scientific paper

10.1016/S0168-9002(03)00519-9

Recently, algorithms for calculation of 3-loop propagator diagrams in HQET and on-shell QCD with a heavy quark have been constructed and implemented. These algorithms (based on integration by parts recurrence relations) reduce an arbitrary diagram to a combination of a finite number of basis integrals. Here I discuss various ways to calculate non-trivial bases integrals, either exactly or as expansions in epsilon. Some integrals of these two classes are related to each other by inversion, which provides a useful cross-check.

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