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We demonstrate a method for calculating the neutral B-meson decay constantsand mixing matrix elements in unquenched lattice QCD with domain-wall lightquarks and static b-quarks. Our computation is performed on the "2+1" flavorgauge configurations generated by the RBC and UKQCD Collaborations with alattice spacing of a approx 0.11 fm (a^-1 = 1.729 GeV) and a lattice spatialvolume of approximately (1.8 fm)^3. We simulate at three different light seaquark masses with pion masses down to approximately 430 MeV, and extrapolate tothe physical quark masses using a phenomenologically-motivated fit functionbased on next-to-leading order heavy-light meson SU(2) chiral perturbationtheory. For the b-quarks, we use an improved formulation of the Eichten-Hillaction with static link-smearing to increase the signal-to-noise ratio. We alsoimprove the heavy-light axial current used to compute the B-meson decayconstant to O(alpha_s p a) using one-loop lattice perturbation theory. Wepresent initial results for the SU(3)-breaking ratios f_{B_s}/f_{B_d} and xi =f_{B_s} sqrt{B_{B_s}}/f_{B_d} sqrt{B_{B_d}}, thereby demonstrating theviability of the method. For the ratio of decay constants, we findf_{B_s}/f_{B_d} = 1.15(12) and for the ratio of mixing matrix elements, we findxi = 1.13(12), where in both cases the errors reflect the combined statisticaland systematic uncertainties, including an estimate of the size of neglectedO(1/m_b) effects.

Neutral B-meson mixing from unquenched lattice QCD with domain-wall light quarks and static b-quarks