English

Effect of m_c on b quark chromomagnetic interaction and on-shell two-loop integrals with two masses

High Energy Physics - Phenomenology 2011-01-25 v2

Abstract

The effect of non-zero c quark mass on b quark HQET Lagrangian, up to 1/m_b level, is calculated at two loops. The results are expressed in terms of dilogarithmic functions of m_c/m_b. This calculation involves on-shell two-loop propagator-type diagrams with two different masses, m_b and m_c. A general algorithm for reducing such Feynman integrals to the basis of two nontrivial and two trivial integrals is constructed.

Keywords

Cite

@article{arxiv.hep-ph/9809589,
  title  = {Effect of m_c on b quark chromomagnetic interaction and on-shell two-loop integrals with two masses},
  author = {A. I. Davydychev and A. G. Grozin},
  journal= {arXiv preprint arXiv:hep-ph/9809589},
  year   = {2011}
}

Comments

LaTeX2e, 17 pages, 3 inline figures, requires axodraw.sty; two references added, REDUCE program is now available at http://www.inp.nsk.su/~grozin/Mm.red