Higher radiative corrections in HQET

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After a brief introduction to Heavy Quark Effective Theory, we discuss $α$ representation in HQET and methods of calculation of some kinds of HQET diagrams up to three loops.
Lectures given at II Helmholtz summer school "Heavy quark physics", Dubna, August 2008; v2: extended, new derivations of some results, a few references added; v3: a few typos fixed

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