Lattice calculation of SU(3) flavor breaking ratios in B - anti-B 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 $16^3\times 32$ 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 $f_{B_s}/f_{B_d}=1.29(4)(6)$, $B_{B_s}/B_{B_d}=1.06(6)(4)$, $\xi =1.33(8)(8)$ where the first error is statistical and the second systematic.

Comments: 23 pages, 8 figures, RevTeX4; mentioned existence of 1/m_b corrections, minor changes improving readability