Masses of Quarks and Leptons in a Supersymmetric GUT

TL;DR

This paper investigates the energy-dependent masses of quarks and leptons within the MSSM framework, finding a common GUT scale mass around 115 GeV and illustrating their evolution from low to high energies.

Contribution

It provides a detailed analysis of fermion mass evolution using one-loop RGE in MSSM, proposing a unified fermion mass at GUT scale and presenting their spectra with graphical insights.

Findings

Fermion masses at GUT scale are approximately 115 GeV.

Top quark mass decreases from laboratory to GUT scale.

Other fermion masses increase from laboratory to GUT scale.

Abstract

The masses and their variation with energy of the elementary particles obtained by solving the one loop renormalization group equation (RGE) in the Minimal Supersymmetric Standard Model (MSSM) is considered. A mass about 115 GeV for all the fermions at GUT scale is found as the possible solution of RGE. The mass spectra of all the fermions are also obtained within acceptable errors. They are shown graphically to desend for the top quark but ascend for all other fermions from the laboratory to the GUT scale.