Radiative Mechanism to Light Fermion Masses in the MSSM

TL;DR

This paper explores a radiative mechanism within the MSSM that explains the origin of light fermion masses, including the hierarchy among light quarks, consistent with experimental sfermion mass constraints.

Contribution

It introduces a generalized flavor mixing hypothesis in the sfermion sector, providing a novel explanation for light fermion masses and their hierarchy in the MSSM.

Findings

Light fermion masses arise at one-loop level due to a ${ m Z}_2'$ symmetry.

The mechanism explains why the s quark is heavier than u and d quarks.

Results align with experimental bounds on sfermion masses.

Abstract

In a previous work we have showed that the ${\cal Z}_{2}^{\prime}$ Symmetry, imply that the light fermions, the electron and the quarks, $u,d$ and $s$, get their masses only at one loop level. Here, we considere the more general hypothesis for flavour mixing in the sfermion sector in the MSSM. Then, we present our results to the masses of these light fermions and as a final result we can explain why the $s$ quark is heavier than the $u,d$ quarks. This mechanism is in agrement with the experimental constraint on the sfermion's masses values.