One loop scalar functions in the heavy quark effective theory

Abstract

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.

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