One loop scalar functions in the heavy quark effective theory

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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18 pages, typos corrected, final results written out in more explicit form, further checks of results added

Scientific paper

10.1007/s10052-002-0985-z

We find general solutions for the dimensionally regularised 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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