Massive Tadpoles: Techniques and Applications

TL;DR

This paper discusses the use of massive tadpole diagrams in quantum field theory to predict particle properties and decay rates, providing results relevant for current and future high-precision experiments.

Contribution

It introduces techniques involving massive tadpole diagrams and applies them to predict electroweak parameters, quark masses, and Higgs decay rates with improved accuracy.

Findings

Predicted charm quark mass: 0.986 ± 0.013 GeV

Predicted bottom quark mass: 3.610 ± 0.016 GeV

Provided predictions for Higgs decay into photons and gluons

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 $m_c(3 {GeV})=0.986\pm0.013$ GeV and $m_b(m_b)=3.610\pm0.016$ GeV. Furthermore, fairly stringent predictions for the Higgs decay rate into photons and gluons are obtained, which will be interesting in increasingly precise experiments.