Lattice calculation of SU(3) flavor breaking ratios in B - anti-B mixing

TL;DR

This paper reports an unquenched lattice QCD calculation of SU(3) flavor breaking ratios in B meson mixing, providing precise ratios of decay constants and matrix elements relevant for flavor physics.

Contribution

The study introduces a new unquenched lattice calculation of SU(3) flavor breaking ratios using domain-wall quarks and improved static approximation, with detailed error analysis.

Findings

f_{B_s}/f_{B_d} = 1.29(4)(6)

B_{B_s}/B_{B_d} = 1.06(6)(4)

ξ = 1.33(8)(8)

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.