# Tadpole-induced electroweak symmetry breaking and pNGB Higgs models

## Abstract

We investigate induced electroweak symmetry breaking (EWSB) in models in which the Higgs is a pseudo-Nambu-Goldstone boson (pNGB). In pNGB Higgs models, Higgs properties and precision electroweak measurements imply a hierarchy between the EWSB and global symmetry-breaking scales, $$v_H \ll f_H$$. When the pNGB potential is generated radiatively, this hierarchy requires fine-tuning to a degree of at least $$\sim v_H^2/f_H^2$$. We show that if Higgs EWSB is induced by a tadpole arising from an auxiliary sector at scale $$f_\Sigma \ll v_H$$, this tuning is significantly ameliorated or can even be removed. We present explicit examples both in Twin Higgs models and in Composite Higgs models based on $SO(5)/SO(4)$. For the Twin case, the result is a fully natural model with $$f_H \sim 1$$ TeV and the lightest colored top partners at 2 TeV. These models also have an appealing mechanism to generate the scales of the auxiliary sector and Higgs EWSB directly from the scale $$f_H$$, with a natural hierarchy $$f_\Sigma \ll v_H \ll f_H \sim{\rm TeV}$$. Finally, the framework predicts modified Higgs coupling as well as new Higgs and vector states at LHC13.

- Authors:

- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

- Publication Date:

- Research Org.:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- OSTI Identifier:
- 1289920

- Report Number(s):
- FERMILAB-PUB-16-076-T; arXiv:1603.03772

Journal ID: ISSN 1029-8479; 1427419

- Grant/Contract Number:
- AC02-07CH11359

- Resource Type:
- Journal Article: Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 3; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Beyond Standard Model; Higgs physics; technicolor and composite models

### Citation Formats

```
Harnik, Roni, Howe, Kiel, and Kearney, John.
```*Tadpole-induced electroweak symmetry breaking and pNGB Higgs models*. United States: N. p., 2017.
Web. doi:10.1007/JHEP03(2017)111.

```
Harnik, Roni, Howe, Kiel, & Kearney, John.
```*Tadpole-induced electroweak symmetry breaking and pNGB Higgs models*. United States. doi:10.1007/JHEP03(2017)111.

```
Harnik, Roni, Howe, Kiel, and Kearney, John. Wed .
"Tadpole-induced electroweak symmetry breaking and pNGB Higgs models". United States.
doi:10.1007/JHEP03(2017)111. https://www.osti.gov/servlets/purl/1289920.
```

```
@article{osti_1289920,
```

title = {Tadpole-induced electroweak symmetry breaking and pNGB Higgs models},

author = {Harnik, Roni and Howe, Kiel and Kearney, John},

abstractNote = {We investigate induced electroweak symmetry breaking (EWSB) in models in which the Higgs is a pseudo-Nambu-Goldstone boson (pNGB). In pNGB Higgs models, Higgs properties and precision electroweak measurements imply a hierarchy between the EWSB and global symmetry-breaking scales, $v_H \ll f_H$. When the pNGB potential is generated radiatively, this hierarchy requires fine-tuning to a degree of at least $\sim v_H^2/f_H^2$. We show that if Higgs EWSB is induced by a tadpole arising from an auxiliary sector at scale $f_\Sigma \ll v_H$, this tuning is significantly ameliorated or can even be removed. We present explicit examples both in Twin Higgs models and in Composite Higgs models based on $SO(5)/SO(4)$. For the Twin case, the result is a fully natural model with $f_H \sim 1$ TeV and the lightest colored top partners at 2 TeV. These models also have an appealing mechanism to generate the scales of the auxiliary sector and Higgs EWSB directly from the scale $f_H$, with a natural hierarchy $f_\Sigma \ll v_H \ll f_H \sim{\rm TeV}$. Finally, the framework predicts modified Higgs coupling as well as new Higgs and vector states at LHC13.},

doi = {10.1007/JHEP03(2017)111},

journal = {Journal of High Energy Physics (Online)},

number = 3,

volume = 2017,

place = {United States},

year = {Wed Mar 22 00:00:00 EDT 2017},

month = {Wed Mar 22 00:00:00 EDT 2017}

}

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