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

## Abstract

We use the IR fixed point predictions for gauge couplings and the top Yukawa coupling in the minimal supersymmetric model (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 α 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 α 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 grand unified theory scale, the measured top quark mass can be obtained from the IR fixed point for tan β ≃ 4 . The range expands to any tan β > 3 for significant departures from the universality assumption. Considering that the Higgs boson massmore »

- Authors:

- Publication Date:

- Research Org.:
- Indiana Univ., Bloomington, IN (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)

- OSTI Identifier:
- 1423928

- Alternate Identifier(s):
- OSTI ID: 1498843

- Grant/Contract Number:
- SC0010120

- Resource Type:
- Published Article

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 5; Journal ID: ISSN 2470-0010

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Dermíšek, Radovan, and McGinnis, Navin. Mass scale of vectorlike matter and superpartners from IR fixed point predictions of gauge and top Yukawa couplings. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.97.055009.
```

```
Dermíšek, Radovan, & McGinnis, Navin. Mass scale of vectorlike matter and superpartners from IR fixed point predictions of gauge and top Yukawa couplings. United States. doi:10.1103/PhysRevD.97.055009.
```

```
Dermíšek, Radovan, and McGinnis, Navin. Tue .
"Mass scale of vectorlike matter and superpartners from IR fixed point predictions of gauge and top Yukawa couplings". United States. doi:10.1103/PhysRevD.97.055009.
```

```
@article{osti_1423928,
```

title = {Mass scale of vectorlike matter and superpartners from IR fixed point predictions of gauge and top Yukawa couplings},

author = {Dermíšek, Radovan and McGinnis, Navin},

abstractNote = {We use the IR fixed point predictions for gauge couplings and the top Yukawa coupling in the minimal supersymmetric model (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 α 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 α 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 grand unified theory scale, the measured top quark mass can be obtained from the IR fixed point for tan β ≃ 4 . The range expands to any tan β > 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},

doi = {10.1103/PhysRevD.97.055009},

journal = {Physical Review D},

number = 5,

volume = 97,

place = {United States},

year = {2018},

month = {3}

}

DOI: 10.1103/PhysRevD.97.055009

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