English

One loop scalar functions in the heavy quark effective theory

High Energy Physics - Phenomenology 2009-01-07 v2

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.

Keywords

Cite

@article{arxiv.hep-ph/0202135,
  title  = {One loop scalar functions in the heavy quark effective theory},
  author = {J. Zupan},
  journal= {arXiv preprint arXiv:hep-ph/0202135},
  year   = {2009}
}

Comments

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

R2 v1 2026-07-22T13:39:24.856Z