# Lattice calculation of the decays [ital B][r arrow][ital K][sup *]+[gamma] and [ital B][sub [ital s]][r arrow][phi]+[gamma]

## Abstract

A lattice calculation of the form factors that determine the hadronization ratios,'' such as [ital R][sub [ital K]][sup *] and [ital R][sub [phi]], where [ital R][sub [ital K]][sup *][equivalent to][[Gamma]([ital B][r arrow][ital K][sup *][gamma])/[Gamma]([ital b][r arrow][ital s][gamma])], is presented in the quenched approximation. Lattice data shows strong evidence for the scaling law suggested by heavy quark symmetry for one of the form factors (i.e., [ital T][sub 2]). The data also gives strong support for the simple pole ansatz for the [ital q][sup 2] dependence of [ital T][sub 2] in the range of available [ital q][sup 2]. We thus find [ital T][sub 2](0)=0.10[plus minus]0.01[plus minus]0.03, yielding [ital R][sub [ital K]][sup *]=(6.0[plus minus]1.2[plus minus]3.4)%; we also find [ital R][sub [phi]]=(6.6[plus minus]1.3[plus minus]3.7)%.

- Authors:

- (Department of Physics, Washington University, St. Louis, Missouri 63130 (United States) Smithsonian Astrophysical Observatory, Cambridge, Massachusetts 02138 (United States) Department of Physics, Brookhaven National Laboratory, Upton, New York, 1197 3 (United States))

- Publication Date:

- OSTI Identifier:
- 5019226

- DOE Contract Number:
- AC02-76CH00016

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review Letters; (United States)

- Additional Journal Information:
- Journal Volume: 72:10; Journal ID: ISSN 0031-9007

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; B MESONS; RADIATIVE DECAY; LATTICE FIELD THEORY; STRANGE MESONS; STRANGEONIUM; FORM FACTORS; MOMENTUM TRANSFER; SCALING LAWS; BEAUTY PARTICLES; BOSONS; DECAY; ELEMENTARY PARTICLES; FIELD THEORIES; HADRONS; MESONS; PARTICLE DECAY; PARTICLE PROPERTIES; PSEUDOSCALAR MESONS; QUANTUM FIELD THEORY; QUARKONIUM; STRANGE PARTICLES; 662230* - Quantum Chromodynamics- (1992-); 662390 - Electromagnetic Processes & Properties- (1992-); 662420 - Properties of Mesons & Meson Resonances- (1992-)

### Citation Formats

```
Bernard, C., Hsieh, P., and Soni, A..
```*Lattice calculation of the decays [ital B][r arrow][ital K][sup *]+[gamma] and [ital B][sub [ital s]][r arrow][phi]+[gamma]*. United States: N. p., 1994.
Web. doi:10.1103/PhysRevLett.72.1402.

```
Bernard, C., Hsieh, P., & Soni, A..
```*Lattice calculation of the decays [ital B][r arrow][ital K][sup *]+[gamma] and [ital B][sub [ital s]][r arrow][phi]+[gamma]*. United States. doi:10.1103/PhysRevLett.72.1402.

```
Bernard, C., Hsieh, P., and Soni, A.. Mon .
"Lattice calculation of the decays [ital B][r arrow][ital K][sup *]+[gamma] and [ital B][sub [ital s]][r arrow][phi]+[gamma]". United States. doi:10.1103/PhysRevLett.72.1402.
```

```
@article{osti_5019226,
```

title = {Lattice calculation of the decays [ital B][r arrow][ital K][sup *]+[gamma] and [ital B][sub [ital s]][r arrow][phi]+[gamma]},

author = {Bernard, C. and Hsieh, P. and Soni, A.},

abstractNote = {A lattice calculation of the form factors that determine the hadronization ratios,'' such as [ital R][sub [ital K]][sup *] and [ital R][sub [phi]], where [ital R][sub [ital K]][sup *][equivalent to][[Gamma]([ital B][r arrow][ital K][sup *][gamma])/[Gamma]([ital b][r arrow][ital s][gamma])], is presented in the quenched approximation. Lattice data shows strong evidence for the scaling law suggested by heavy quark symmetry for one of the form factors (i.e., [ital T][sub 2]). The data also gives strong support for the simple pole ansatz for the [ital q][sup 2] dependence of [ital T][sub 2] in the range of available [ital q][sup 2]. We thus find [ital T][sub 2](0)=0.10[plus minus]0.01[plus minus]0.03, yielding [ital R][sub [ital K]][sup *]=(6.0[plus minus]1.2[plus minus]3.4)%; we also find [ital R][sub [phi]]=(6.6[plus minus]1.3[plus minus]3.7)%.},

doi = {10.1103/PhysRevLett.72.1402},

journal = {Physical Review Letters; (United States)},

issn = {0031-9007},

number = ,

volume = 72:10,

place = {United States},

year = {1994},

month = {3}

}