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One loop scalar functions in the heavy-quark effective theory

  • Theoretical Physics
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Abstract.

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.

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

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Zupan, J. One loop scalar functions in the heavy-quark effective theory. Eur. Phys. J. C 25, 233–244 (2002). https://doi.org/10.1007/s10052-002-0985-z

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  • DOI: https://doi.org/10.1007/s10052-002-0985-z

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