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Particles and Fields

Eur. Phys. J. C 25, 233-244 (2002)
DOI: 10.1007/s10052-002-0985-z

One loop scalar functions in the heavy-quark effective theory

J. Zupan

J. Stefan Institute, Jamova 39, 1001 Ljubljana, Slovenia

(Received: 15 February 2002 / Revised version: 15 April 2002 / Published online: 12 July 2002 )

We find general solutions for the dimensionally regularized scalar one-loop three-point and four-point functions with one heavy-quark propagator. The scalar one-point function vanishes, while the expression for the two-point function has been found before. For the latter we give a detailed derivation. We also discuss some special cases and compile useful formulae.

© Società Italiana di Fisica, Springer-Verlag 2002