Mass scale of vectorlike matter and superpartners from IR fixed point predictions of gauge and top Yukawa couplings

TL;DR

This paper uses IR fixed point predictions in extended MSSM models to estimate the scale of vectorlike matter and superpartners, finding they are likely within a few TeV, consistent with observed gauge couplings and top quark mass.

Contribution

It provides new predictions for the mass scale of vectorlike matter and superpartners based on IR fixed points in MSSM extensions with vectorlike families.

Findings

Vectorlike matter and superpartners are expected within 1.7-4 TeV depending on gauge coupling strength.

IR fixed point of top Yukawa coupling suggests multi-TeV scale for vectorlike matter.

The model can reproduce the measured top quark mass for certain parameter choices.

Abstract

We use the IR fixed point predictions for gauge couplings and the top Yukawa coupling in the MSSM extended with vectorlike families to infer the scale of vectorlike matter and superpartners. We quote results for several extensions of the MSSM and present results in detail for the MSSM extended with one complete vectorlike family. We find that for a unified gauge coupling $\alpha_G > 0.3$ vectorlike matter or superpartners are expected within 1.7 TeV (2.5 TeV) based on all three gauge couplings being simultaneously within 1.5\% (5\%) from observed values. This range extends to about 4 TeV for $\alpha_G > 0.2$. We also find that in the scenario with two additional large Yukawa couplings of vectorlike quarks the IR fixed point value of the top Yukawa coupling independently points to a multi-TeV range for vectorlike matter and superpartners. Assuming a universal value for all large Yukawa couplings at the GUT scale, the measured top quark mass can be obtained from the IR fixed point for $\tan \beta \simeq 4$. The range expands to any $\tan \beta > 3$ for significant departures from the universality assumption. Considering that the Higgs boson mass also points to a multi-TeV range for superpartners in the MSSM, adding a complete vectorlike family at the same scale provides a compelling scenario where the values of gauge couplings and the top quark mass are understood as a consequence of the particle content of the model.