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

Autor: Albertus, Conrado, Aoki, Yasumichi, Boyle, Peter A., Christ, Norman H., Dumitrescu, Thomas T., Flynn, Jonathan M., Ishikawa, Tomomi, Izubuchi, Taku, Loktik, Oleg, Sachrajda, Christopher T., Soni, Amarjit, Van de Water, Ruth S., Wennekers, Jan, Witzel, Oliver
Rok vydání: 2010
Předmět:
Zdroj: Phys.Rev.D82:014505,2010
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevD.82.014505
Popis: We demonstrate a method for calculating the neutral B-meson decay constants and mixing matrix elements in unquenched lattice QCD with domain-wall light quarks and static b-quarks. Our computation is performed on the "2+1" flavor gauge configurations generated by the RBC and UKQCD Collaborations with a lattice spacing of a approx 0.11 fm (a^-1 = 1.729 GeV) and a lattice spatial volume of approximately (1.8 fm)^3. We simulate at three different light sea quark masses with pion masses down to approximately 430 MeV, and extrapolate to the physical quark masses using a phenomenologically-motivated fit function based on next-to-leading order heavy-light meson SU(2) chiral perturbation theory. For the b-quarks, we use an improved formulation of the Eichten-Hill action with static link-smearing to increase the signal-to-noise ratio. We also improve the heavy-light axial current used to compute the B-meson decay constant to O(alpha_s p a) using one-loop lattice perturbation theory. We present 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 the viability of the method. For the ratio of decay constants, we find f_{B_s}/f_{B_d} = 1.15(12) and for the ratio of mixing matrix elements, we find xi = 1.13(12), where in both cases the errors reflect the combined statistical and systematic uncertainties, including an estimate of the size of neglected O(1/m_b) effects.
Comment: 60 pages, 9 figures
Databáze: arXiv
Externí odkaz: