# Landscape solution to the SUSY flavor and $CP$ problems

## Abstract

In a fertile patch of the string landscape which includes the minimal supersymmetric standard model (MSSM) as the low-energy effective theory, rather general arguments from Douglas suggest a power-law statistical selection of soft breaking terms $[{m}_{\mathrm{soft}}^{n}$ where $n=2{n}_{F}+{n}_{D}-1$ with ${n}_{F}$ the number of hidden sector $F$-supersymmetry (SUSY) breaking fields and ${n}_{D}$ the number of $D$-term SUSY breaking fields]. The statistical draw towards large soft terms must be tempered by requiring an appropriate breakdown of electroweak (EW) symmetry with no contributions to the weak scale larger than a factor 2–5 of its measured value, lest one violates the (anthropic) atomic principle. Such a simple picture of stringy naturalness generates a light Higgs boson with mass ${m}_{h}\simeq 125$ GeV with sparticles (other than higgsinos) typically beyond LHC reach. Then we expect first and second generation matter scalars to be drawn independently to the tens of TeV regime where the upper cutoff arises from two-loop renormalization group equation (RGE) terms that drive third generation soft masses towards tachyonic values. Since the upper bounds on ${m}_{0}(1,2)$ are the same for each generation, and flavor independent, then these will be drawn toward quasidegenerate values. This mechanism leads to a natural mixed decoupling/quasidegeneracy solution to the SUSY flavor problem and a decoupling solution to the SUSY $CP$ problem.

- Authors:

- Publication Date:

- Research Org.:
- Univ. of Oklahoma, Norman, OK (United States)

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

- OSTI Identifier:
- 1579463

- Alternate Identifier(s):
- OSTI ID: 1600545

- Report Number(s):
- arXiv:1910.00090

Journal ID: ISSN 2643-1564; PPRHAI; 033179

- Grant/Contract Number:
- SC0009956

- Resource Type:
- Published Article

- Journal Name:
- Physical Review Research

- Additional Journal Information:
- Journal Name: Physical Review Research Journal Volume: 1 Journal Issue: 3; Journal ID: ISSN 2643-1564

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; supersymmetry; string theory; flavor problem; CP

### Citation Formats

```
Baer, Howard, Barger, Vernon, and Sengupta, Dibyashree. Landscape solution to the SUSY flavor and CP problems. United States: N. p., 2019.
Web. https://doi.org/10.1103/PhysRevResearch.1.033179.
```

```
Baer, Howard, Barger, Vernon, & Sengupta, Dibyashree. Landscape solution to the SUSY flavor and CP problems. United States. https://doi.org/10.1103/PhysRevResearch.1.033179
```

```
Baer, Howard, Barger, Vernon, and Sengupta, Dibyashree. Sun .
"Landscape solution to the SUSY flavor and CP problems". United States. https://doi.org/10.1103/PhysRevResearch.1.033179.
```

```
@article{osti_1579463,
```

title = {Landscape solution to the SUSY flavor and CP problems},

author = {Baer, Howard and Barger, Vernon and Sengupta, Dibyashree},

abstractNote = {In a fertile patch of the string landscape which includes the minimal supersymmetric standard model (MSSM) as the low-energy effective theory, rather general arguments from Douglas suggest a power-law statistical selection of soft breaking terms [msoftn where n=2nF+nD-1 with nF the number of hidden sector F-supersymmetry (SUSY) breaking fields and nD the number of D-term SUSY breaking fields]. The statistical draw towards large soft terms must be tempered by requiring an appropriate breakdown of electroweak (EW) symmetry with no contributions to the weak scale larger than a factor 2–5 of its measured value, lest one violates the (anthropic) atomic principle. Such a simple picture of stringy naturalness generates a light Higgs boson with mass mh≃125 GeV with sparticles (other than higgsinos) typically beyond LHC reach. Then we expect first and second generation matter scalars to be drawn independently to the tens of TeV regime where the upper cutoff arises from two-loop renormalization group equation (RGE) terms that drive third generation soft masses towards tachyonic values. Since the upper bounds on m0(1,2) are the same for each generation, and flavor independent, then these will be drawn toward quasidegenerate values. This mechanism leads to a natural mixed decoupling/quasidegeneracy solution to the SUSY flavor problem and a decoupling solution to the SUSY CP problem.},

doi = {10.1103/PhysRevResearch.1.033179},

journal = {Physical Review Research},

number = 3,

volume = 1,

place = {United States},

year = {2019},

month = {12}

}

https://doi.org/10.1103/PhysRevResearch.1.033179

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