Massive Tadpoles: Techniques and Applications

Abstract

A brief discussion of massive tadpole diagrams and their phenomenological consequences is presented. This includes predictions of the $\rho$ parameter and, as a consequence, the mass of the $W$ boson, implications on the charm and bottom quark masses from the moments, i.e. the derivatives of the current correlators, and the Higgs boson decay rate. A fairly consistent picture emerges, with $m_c(3GeV)=0.986\pm 0.013$ GeV and $m_b(m_b)=3.610\pm 0.016$ GeV. Furthermore, fairly stringent predictions for the Higgs decay rate into photons and gluons are obtained, which will be interesting in increasingly precise experiments.

Comments: 12 pages, Contribution to the Proceedings of the Final Meeting of the Collaborative Research Centre / Transregio 9 "Computational Particle Physics", Durbach, Germany, September 2014, to appear in Nucl. Phys. (Proc. Suppl.), v2: Fig.10 updated, reference added