Running quark and lepton parameters at various scales

TL;DR

This paper provides detailed calculations of the running quark and lepton Yukawa couplings and mixing parameters at various energy scales, including the GUT scale, incorporating supersymmetric threshold corrections for model building.

Contribution

It offers comprehensive values and uncertainties of fermion parameters at multiple scales, including the effects of supersymmetric threshold corrections, aiding theoretical model development.

Findings

Yukawa couplings and mixing parameters at different scales are quantified.

Supersymmetric threshold corrections significantly affect parameter values.

Results facilitate model building at high energy scales.

Abstract

We calculate the values and 1 sigma ranges of the running quark and lepton Yukawa couplings as well as of the quark mixing parameters at various energy scales, i.e. at M_Z, 1 TeV, 3 TeV, 10 TeV and at the GUT scale, to provide useful input for model building. Above TeV energies, we assume the minimal supersymmetric extension of the Standard Model, and include the tan(beta)-enhanced one-loop supersymmetric threshold corrections which arise when matching the SM to its SUSY extension. We calculate the GUT scale values of the running parameters as well as their 1 sigma ranges, with the supersymmetric threshold corrections included and with their effects parametrised in a simple way.