One loop scalar functions in the heavy quark effective theory
Abstract
Description
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.
18 pages, typos corrected, final results written out in more explicit form, further checks of results added
18 pages, typos corrected, final results written out in more explicit form, further checks of results added