# The impact of two-loop effects on the scenario of MSSM Higgs alignment without decoupling

## Abstract

In multi-Higgs models, the properties of one neutral scalar state approximate those of the Standard Model (SM) Higgs boson in a limit where the corresponding scalar field is roughly aligned in field space with the scalar doublet vacuum expectation value. In a scenario of alignment without decoupling, a SM-like Higgs boson can be accompanied by additional scalar states whose masses are of a similar order of magnitude. In the Minimal Supersymmetric Standard Model (MSSM), alignment without decoupling can be achieved due to an accidental cancellation of tree-level and radiative loop-level effects. In this paper we assess the impact of the leading two-loop $\mathcal{O}\left({\alpha}_{s}{h}_{t}^{2}\right)$ corrections on the Higgs alignment condition in the MSSM. These corrections are sizable and important in the relevant regions of parameter space and furthermore give rise to solutions of the alignment condition that are not present in the approximate one-loop description. We provide a comprehensive numerical comparison of the alignment condition obtained in the approximate one-loop and two-loop approximations, and discuss its implications for phenomenologically viable regions of the MSSM parameter space.

- Authors:

- Publication Date:

- Research Org.:
- Univ. of California, Santa Cruz, CA (United States); Autonomous Univ. of Madrid (UAM) (Spain)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); Interministerial Commission of Science and Technology (CICYT) (Spain); State Research Agency (AEI) (Spain); Ministry of Science, Innovation and Universities (MICINN) (Spain); European Regional Development Fund (ERDF)

- OSTI Identifier:
- 1407451

- Alternate Identifier(s):
- OSTI ID: 1510214

- Grant/Contract Number:
- SC0010107; FPA 2013-40715-P; FPA2016-78022-P; FPA2016-78645-P; SEV-2016-0597; CSD2009-00064

- Resource Type:
- Published Article

- Journal Name:
- European Physical Journal. C, Particles and Fields

- Additional Journal Information:
- Journal Name: European Physical Journal. C, Particles and Fields Journal Volume: 77 Journal Issue: 11; Journal ID: ISSN 1434-6044

- Publisher:
- Springer Science + Business Media

- Country of Publication:
- Germany

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Haber, Howard E., Heinemeyer, Sven, and Stefaniak, Tim. The impact of two-loop effects on the scenario of MSSM Higgs alignment without decoupling. Germany: N. p., 2017.
Web. doi:10.1140/epjc/s10052-017-5243-5.
```

```
Haber, Howard E., Heinemeyer, Sven, & Stefaniak, Tim. The impact of two-loop effects on the scenario of MSSM Higgs alignment without decoupling. Germany. https://doi.org/10.1140/epjc/s10052-017-5243-5
```

```
Haber, Howard E., Heinemeyer, Sven, and Stefaniak, Tim. Mon .
"The impact of two-loop effects on the scenario of MSSM Higgs alignment without decoupling". Germany. https://doi.org/10.1140/epjc/s10052-017-5243-5.
```

```
@article{osti_1407451,
```

title = {The impact of two-loop effects on the scenario of MSSM Higgs alignment without decoupling},

author = {Haber, Howard E. and Heinemeyer, Sven and Stefaniak, Tim},

abstractNote = {In multi-Higgs models, the properties of one neutral scalar state approximate those of the Standard Model (SM) Higgs boson in a limit where the corresponding scalar field is roughly aligned in field space with the scalar doublet vacuum expectation value. In a scenario of alignment without decoupling, a SM-like Higgs boson can be accompanied by additional scalar states whose masses are of a similar order of magnitude. In the Minimal Supersymmetric Standard Model (MSSM), alignment without decoupling can be achieved due to an accidental cancellation of tree-level and radiative loop-level effects. In this paper we assess the impact of the leading two-loop O ( α s h t 2 ) corrections on the Higgs alignment condition in the MSSM. These corrections are sizable and important in the relevant regions of parameter space and furthermore give rise to solutions of the alignment condition that are not present in the approximate one-loop description. We provide a comprehensive numerical comparison of the alignment condition obtained in the approximate one-loop and two-loop approximations, and discuss its implications for phenomenologically viable regions of the MSSM parameter space.},

doi = {10.1140/epjc/s10052-017-5243-5},

journal = {European Physical Journal. C, Particles and Fields},

number = 11,

volume = 77,

place = {Germany},

year = {2017},

month = {11}

}

https://doi.org/10.1140/epjc/s10052-017-5243-5

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