Quark masses and mixings in the standard model with heavy vector-like families

TL;DR

This paper explores how adding heavy vector-like families to the standard model affects quark masses and mixings, providing new parametrizations and implications for future high-energy experiments.

Contribution

It introduces a model-independent parametrization and an explicit realization for the case with one heavy vector-like family, expanding the standard model framework.

Findings

Derived quark mixing matrices for charged and neutral currents.

Presented a parametrization applicable to arbitrary cases.

Explored implications for deviations from the standard model in future experiments.

Abstract

The extension of the standard model with pairs of the vector-like families is studied. The quark mixing matrices for the left- and right-handed charged currents, as well as those for the flavour changing neutral currents, the Z and Higgs mediated, are found. Both the model independent parametrization for an arbitrary case and an explicit realization for the case with one pair of the heavy vector-like families are presented. The extension opens new prospects for studying deviations from the standard model in the future experiments at high energies.