Multiloop calculations in HQET

Abstract

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.

Talk at ACAT'2002 (Moscow)

References in corpus (5)

• Nested Sums, Expansion of Transcendental Functions and Multi-Scale Multi-Loop Integrals
• Symbolic Expansion of Transcendental Functions
• The analytic value of the sunrise self-mass with two equal masses and the external invariant equal to the third squared mass
• Threshold expansion for heavy-light systems and flavor off-diagonal current-current correlators
• Renormalization of HQET at Three Loops

Cited by in corpus (2)

• Laurent series expansion of sunrise-type diagrams using configuration space techniques
• Progress in multiloop calculations