Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2009-02-11
Phys.Rev.D80:014503,2009
Physics
High Energy Physics
High Energy Physics - Lattice
12 pages, 10 postscript figures, version to appear in Phys.Rev.D. Two new figures, Fig.6 and Fig.10, added. Result on branchin
Scientific paper
10.1103/PhysRevD.80.014503
We study $B_d$ and $B_s$ mixing in unquenched lattice QCD employing the MILC collaboration gauge configurations that include u, d, and s sea quarks based on the improved staggered quark (AsqTad) action and a highly improved gluon action. We implement the valence light quarks also with the AsqTad action and use the nonrelativistic NRQCD action for the valence b quark. We calculate hadronic matrix elements necessary for extracting CKM matrix elements from experimental measurements of mass differences $\Delta M_d$ and $\Delta M_s$. We find $\xi = f_{B_s} \sqrt{\hat{B}_{B_s}} / f_{B_d} \sqrt{\hat{B}_{B_d}} = 1.258(33)$, $f_{B_d} \sqrt{\hat{B}_{B_d}} = 216(15)$ MeV and $f_{B_s} \sqrt{\hat{B}_{B_s}} = 266(18)$ MeV. We also update previous results for decay constants and obtain $f_{B_d} = 190(13)$ MeV, $f_{B_s} = 231(15)$ MeV and $f_{B_s}/f_{B_d} = 1.226(26)$. The new lattice results lead to updated values for the ratio of CKM matrix elements $|V_{td}|/|V_{ts}|$ and for the Standard Model prediction for $Br(B_s \rightarrow \mu^+ \mu^-)$ with reduced errors. We determine $|V_{td}|/|V_{ts}| = 0.214(1)(5)$ and $Br(B_s \rightarrow \mu^+ \mu^-) = 3.19(19) \times 10^{-9}$.
Davies Christine. T. H.
Gamiz Elvira
Lepage Peter G.
Shigemitsu Junko
Wingate Matthew
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