# Lattice calculation of SU(3) flavor breaking ratios in B{sup 0}-B{sup 0} mixing

## Abstract

We present an unquenched lattice calculation for the SU(3) flavor breaking ratios of the heavy-light decay constants and the {delta}B=2 matrix elements. The calculation was performed on 16{sup 3}x32 lattices with two dynamical flavors of domain-wall quarks and inverse lattice spacing 1/a=1.69(5) GeV. Heavy quarks were implemented using an improved lattice formulation of the static approximation. In the infinite heavy-quark mass limit we obtain f{sub B{sub s}}/f{sub B{sub d}}=1.29(4)(6), B{sub B{sub s}}/B{sub B{sub d}}=1.06(6)(4), {xi}=1.33(8)(8) where the first error is statistical and the second systematic.

- Authors:

- Physics Department, Columbia University, New York, New York 10027 (United States)

- Publication Date:

- OSTI Identifier:
- 20774445

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 72; Journal Issue: 11; Other Information: DOI: 10.1103/PhysRevD.72.114504; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; APPROXIMATIONS; B NEUTRAL MESONS; B QUARKS; C QUARKS; ERRORS; FLAVOR MODEL; GEV RANGE; LATTICE FIELD THEORY; MATRIX ELEMENTS; PARTICLE DECAY; REST MASS; SU-3 GROUPS; SYMMETRY BREAKING; T QUARKS

### Citation Formats

```
Gadiyak, Valeriya, and Loktik, Oleg.
```*Lattice calculation of SU(3) flavor breaking ratios in B{sup 0}-B{sup 0} mixing*. United States: N. p., 2005.
Web. doi:10.1103/PhysRevD.72.114504.

```
Gadiyak, Valeriya, & Loktik, Oleg.
```*Lattice calculation of SU(3) flavor breaking ratios in B{sup 0}-B{sup 0} mixing*. United States. doi:10.1103/PhysRevD.72.114504.

```
Gadiyak, Valeriya, and Loktik, Oleg. Thu .
"Lattice calculation of SU(3) flavor breaking ratios in B{sup 0}-B{sup 0} mixing". United States.
doi:10.1103/PhysRevD.72.114504.
```

```
@article{osti_20774445,
```

title = {Lattice calculation of SU(3) flavor breaking ratios in B{sup 0}-B{sup 0} mixing},

author = {Gadiyak, Valeriya and Loktik, Oleg},

abstractNote = {We present an unquenched lattice calculation for the SU(3) flavor breaking ratios of the heavy-light decay constants and the {delta}B=2 matrix elements. The calculation was performed on 16{sup 3}x32 lattices with two dynamical flavors of domain-wall quarks and inverse lattice spacing 1/a=1.69(5) GeV. Heavy quarks were implemented using an improved lattice formulation of the static approximation. In the infinite heavy-quark mass limit we obtain f{sub B{sub s}}/f{sub B{sub d}}=1.29(4)(6), B{sub B{sub s}}/B{sub B{sub d}}=1.06(6)(4), {xi}=1.33(8)(8) where the first error is statistical and the second systematic.},

doi = {10.1103/PhysRevD.72.114504},

journal = {Physical Review. D, Particles Fields},

number = 11,

volume = 72,

place = {United States},

year = {Thu Dec 01 00:00:00 EST 2005},

month = {Thu Dec 01 00:00:00 EST 2005}

}

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.