# Higgs Parity, strong CP and dark matter

## Abstract

An exact spacetime parity replicates the $$SU(2) \times U(1)$$ electroweak interaction, the Higgs boson $H$, and the matter of the Standard Model. This "Higgs Parity" and the mirror electroweak symmetry are spontaneously broken at scale $$v' = \left\langle{H'} \right\rangle \gg \left\langle{H}\right\rangle$$, yielding the Standard Model below $v'$ with a quartic coupling that essentially vanishes at $v'$: $$\lambda_{SM}(v') \sim 10^{-3}$$. The strong CP problem is solved as Higgs parity forces the masses of mirror quarks and ordinary quarks to have opposite phases. Dark matter is composed of mirror electrons, $e'$, stabilized by unbroken mirror electromagnetism. These interact with Standard Model particles via kinetic mixing between the photon and the mirror photon, which arises at four-loop level and is a firm prediction of the theory. Physics below $v'$, including the mass and interaction of $e'$ dark matter, is described by $$\textit{one fewer parameter}$$ than in the Standard Model. The allowed range of $$m_{e'}$$ is determined by uncertainties in $$(\alpha_s, m_t, m_h)$$, so that future precision measurements of these will be correlated with the direct detection rate of $e'$ dark matter, which, together with the neutron electric dipole moment, will probe the entire parameter space.

- Authors:

- Univ. of California, Berkeley, CA (United States). Dept. of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Theoretical Physics Group
- Univ. of California, Berkeley, CA (United States). Dept. of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Theoretical Physics Group; Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences

- Publication Date:

- Research Org.:
- Inst. for Advanced Study, Princeton, NJ (United States); Univ. of California, Berkeley, CA (United States)

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

- OSTI Identifier:
- 1596654

- Grant/Contract Number:
- SC0009988; AC02-05CH11231; PHY-1316783; PHY-1521446

- Resource Type:
- Accepted Manuscript

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

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 7; 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

### Citation Formats

```
Dunsky, David, Hall, Lawrence J., and Harigaya, Keisuke. Higgs Parity, strong CP and dark matter. United States: N. p., 2019.
Web. doi:10.1007/JHEP07(2019)016.
```

```
Dunsky, David, Hall, Lawrence J., & Harigaya, Keisuke. Higgs Parity, strong CP and dark matter. United States. doi:10.1007/JHEP07(2019)016.
```

```
Dunsky, David, Hall, Lawrence J., and Harigaya, Keisuke. Wed .
"Higgs Parity, strong CP and dark matter". United States. doi:10.1007/JHEP07(2019)016. https://www.osti.gov/servlets/purl/1596654.
```

```
@article{osti_1596654,
```

title = {Higgs Parity, strong CP and dark matter},

author = {Dunsky, David and Hall, Lawrence J. and Harigaya, Keisuke},

abstractNote = {An exact spacetime parity replicates the $SU(2) \times U(1)$ electroweak interaction, the Higgs boson $H$, and the matter of the Standard Model. This "Higgs Parity" and the mirror electroweak symmetry are spontaneously broken at scale $v' = \left\langle{H'} \right\rangle \gg \left\langle{H}\right\rangle$, yielding the Standard Model below $v'$ with a quartic coupling that essentially vanishes at $v'$: $\lambda_{SM}(v') \sim 10^{-3}$. The strong CP problem is solved as Higgs parity forces the masses of mirror quarks and ordinary quarks to have opposite phases. Dark matter is composed of mirror electrons, $e'$, stabilized by unbroken mirror electromagnetism. These interact with Standard Model particles via kinetic mixing between the photon and the mirror photon, which arises at four-loop level and is a firm prediction of the theory. Physics below $v'$, including the mass and interaction of $e'$ dark matter, is described by $\textit{one fewer parameter}$ than in the Standard Model. The allowed range of $m_{e'}$ is determined by uncertainties in $(\alpha_s, m_t, m_h)$, so that future precision measurements of these will be correlated with the direct detection rate of $e'$ dark matter, which, together with the neutron electric dipole moment, will probe the entire parameter space.},

doi = {10.1007/JHEP07(2019)016},

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

number = 7,

volume = 2019,

place = {United States},

year = {2019},

month = {7}

}

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