# Large Delta I = 3/2 Contributions to epsilon'/epsilon in Supersymmetry

## Abstract

We show that in supersymmetric extensions of the Standard Model gluino box diagrams can yield a large {Delta}I = 3/2 contribution to s {r_arrow} d{bar q}q FCNC processes, which may induce a sizable CP-violating contribution to the I = 2 isospin amplitude in K {r_arrow} {pi}{pi} decays. This contribution only requires moderate mass splitting between the right-handed squarks {tilde u}{sub R} and {tilde d}{sub R}, and persists for squark masses of order 1 TeV. Taking into account current bounds on Im {delta}{sub sd}{sup LL} from K-{bar K} mixing, the resulting contribution to {epsilon}{prime}/{epsilon} could be an order of magnitude larger than the measured value.

- Authors:

- Publication Date:

- Research Org.:
- Stanford Linear Accelerator Center, Menlo Park, CA (US)

- Sponsoring Org.:
- USDOE Office of Energy Research (ER) (US)

- OSTI Identifier:
- 10519

- Report Number(s):
- SLAC-PUB-8231

TRN: US0103579

- DOE Contract Number:
- AC03-76SF00515

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: PBD: 19 Aug 1999

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AMPLITUDES; DATA; ISOSPIN; STANDARD MODEL; SUPERSYMMETRY; CP INVARIANCE; KAONS; PIONS; DECAY; S QUARKS

### Citation Formats

```
Kagan, Alexander L.
```*Large Delta I = 3/2 Contributions to epsilon'/epsilon in Supersymmetry*. United States: N. p., 1999.
Web. doi:10.2172/10519.

```
Kagan, Alexander L.
```*Large Delta I = 3/2 Contributions to epsilon'/epsilon in Supersymmetry*. United States. doi:10.2172/10519.

```
Kagan, Alexander L. Thu .
"Large Delta I = 3/2 Contributions to epsilon'/epsilon in Supersymmetry". United States. doi:10.2172/10519. https://www.osti.gov/servlets/purl/10519.
```

```
@article{osti_10519,
```

title = {Large Delta I = 3/2 Contributions to epsilon'/epsilon in Supersymmetry},

author = {Kagan, Alexander L},

abstractNote = {We show that in supersymmetric extensions of the Standard Model gluino box diagrams can yield a large {Delta}I = 3/2 contribution to s {r_arrow} d{bar q}q FCNC processes, which may induce a sizable CP-violating contribution to the I = 2 isospin amplitude in K {r_arrow} {pi}{pi} decays. This contribution only requires moderate mass splitting between the right-handed squarks {tilde u}{sub R} and {tilde d}{sub R}, and persists for squark masses of order 1 TeV. Taking into account current bounds on Im {delta}{sub sd}{sup LL} from K-{bar K} mixing, the resulting contribution to {epsilon}{prime}/{epsilon} could be an order of magnitude larger than the measured value.},

doi = {10.2172/10519},

journal = {},

number = ,

volume = ,

place = {United States},

year = {1999},

month = {8}

}

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