# Penguin operators in nonresonant B{sup {minus}}{r_arrow}M{bar M}{pi}{sup {minus}}(M={pi}{sup {minus}},K{sup {minus}},K{sup 0}) decays

## Abstract

We investigate the contributions coming from the penguin operators in the nonresonant B{sup {minus}}{r_arrow}M{bar M}{pi}{sup {minus}}(M={pi}{sup {minus}},K{sup {minus}},K{sup 0}) decays. The effective Wilson coefficients of the strong penguin operators O{sub 4} and O{sub 6} are found to be relatively larger than those for other penguin operators. We calculate the contributions arising from the O{sub 4} and O{sub 6} operators in the nonresonant decays B{sup {minus}}{r_arrow}M{bar M}{pi}{sup {minus}}(M={pi}{sup {minus}},K{sup {minus}},{bar K}{sup 0}) using a model combining heavy quark symmetry and the chiral symmetry, developed previously. We find that the CKM-forbidden nonresonant B{sup {minus}}{r_arrow}K{sup 0}{bar K}{sup 0}{pi}{sup {minus}} decay occurs through the strong penguin operators. These penguin contributions affect the branching ratios for B{sup {minus}}{r_arrow}M{bar M}{pi}{sup {minus}}(M={pi}{sup {minus}},K{sup {minus}}) by only a few percent. The branching ratio for B{sup {minus}}{r_arrow}K{sup 0}{bar K}{sup 0}{pi}{sup {minus}} is estimated to be of the order 10{sup {minus}6}. {copyright} {ital 1999} {ital The American Physical Society}

- Authors:

- J. Stefan Institute, Jamova 39, P.O. Box 3000, 1001 Ljubljana (Slovenia)|[Department of Physics, University of Ljubljana, Jadranska 19, 1000 Ljubljana (Slovenia)
- Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208 (United States)
- Centre de Physique Theorique, Centre National de la Recherche Scientifique, UMR 7644, Ecole Polytechnique, F-91128 Palaiseau Cedex (France)

- Publication Date:

- OSTI Identifier:
- 365989

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review, D

- Additional Journal Information:
- Journal Volume: 60; Journal Issue: 5; Other Information: PBD: Sep 1999

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 66 PHYSICS; MATHEMATICAL OPERATORS; B MESONS; PIONS MINUS; KAONS MINUS; KAONS NEUTRAL; QUARKS; BRANCHING RATIO; HADRONIC PARTICLE DECAY; CHIRAL SYMMETRY

### Citation Formats

```
Fajfer, S., Oakes, R.J., and Pham, T.N.
```*Penguin operators in nonresonant B{sup {minus}}{r_arrow}M{bar M}{pi}{sup {minus}}(M={pi}{sup {minus}},K{sup {minus}},K{sup 0}) decays*. United States: N. p., 1999.
Web. doi:10.1103/PhysRevD.60.054029.

```
Fajfer, S., Oakes, R.J., & Pham, T.N.
```*Penguin operators in nonresonant B{sup {minus}}{r_arrow}M{bar M}{pi}{sup {minus}}(M={pi}{sup {minus}},K{sup {minus}},K{sup 0}) decays*. United States. doi:10.1103/PhysRevD.60.054029.

```
Fajfer, S., Oakes, R.J., and Pham, T.N. Wed .
"Penguin operators in nonresonant B{sup {minus}}{r_arrow}M{bar M}{pi}{sup {minus}}(M={pi}{sup {minus}},K{sup {minus}},K{sup 0}) decays". United States. doi:10.1103/PhysRevD.60.054029.
```

```
@article{osti_365989,
```

title = {Penguin operators in nonresonant B{sup {minus}}{r_arrow}M{bar M}{pi}{sup {minus}}(M={pi}{sup {minus}},K{sup {minus}},K{sup 0}) decays},

author = {Fajfer, S. and Oakes, R.J. and Pham, T.N.},

abstractNote = {We investigate the contributions coming from the penguin operators in the nonresonant B{sup {minus}}{r_arrow}M{bar M}{pi}{sup {minus}}(M={pi}{sup {minus}},K{sup {minus}},K{sup 0}) decays. The effective Wilson coefficients of the strong penguin operators O{sub 4} and O{sub 6} are found to be relatively larger than those for other penguin operators. We calculate the contributions arising from the O{sub 4} and O{sub 6} operators in the nonresonant decays B{sup {minus}}{r_arrow}M{bar M}{pi}{sup {minus}}(M={pi}{sup {minus}},K{sup {minus}},{bar K}{sup 0}) using a model combining heavy quark symmetry and the chiral symmetry, developed previously. We find that the CKM-forbidden nonresonant B{sup {minus}}{r_arrow}K{sup 0}{bar K}{sup 0}{pi}{sup {minus}} decay occurs through the strong penguin operators. These penguin contributions affect the branching ratios for B{sup {minus}}{r_arrow}M{bar M}{pi}{sup {minus}}(M={pi}{sup {minus}},K{sup {minus}}) by only a few percent. The branching ratio for B{sup {minus}}{r_arrow}K{sup 0}{bar K}{sup 0}{pi}{sup {minus}} is estimated to be of the order 10{sup {minus}6}. {copyright} {ital 1999} {ital The American Physical Society}},

doi = {10.1103/PhysRevD.60.054029},

journal = {Physical Review, D},

number = 5,

volume = 60,

place = {United States},

year = {1999},

month = {9}

}