$B^0-\bar{B}^0$ mixing in quenched lattice QCD

Details $B^0-\bar{B}^0$ mixing in quenched lattice QCD $B^0-\bar{B}^0$ mixing in quenched lattice QCD

2002-08-22

arxiv.org/abs/hep-lat/0208038v2

Phys.Rev.D67:014506,2003

Physics

High Energy Physics

High Energy Physics - Lattice

56 pages, 15 figures, LaTeX2e with RevTeX4. Systematic error from excited states and reference added, typo corrected. Appearin

Scientific paper

10.1103/PhysRevD.67.014506

We present our results of lattice calculations of $B$ parameters, which parameterize $\Delta B$=2 transition amplitudes together with the leptonic decay constant. Calculations are made in the quenched approximation at $\beta$=5.7, 5.9, 6.0 and 6.1, using NRQCD action for heavy quark and the $O(a)$-improved Wilson action for light quark. The operators are perturbatively renormalized including the correction of $O(\alpha_s/(aM)^m)$ ($m\ge$0). We examine the scaling behavior of $B$ parameters, and discuss the systematic uncertainties based on the results with several different truncations of higher order terms in 1/M and $\alpha_s$ expansions. We find $B_{B_d}(m_b)=0.84(3)(5)$, $B_{B_s}/B_{B_d}=1.020(21)(^{+15}_{-16})(^{+5}_{-0})$ and $B_{S_s}(m_b)=0.85(1)(5)(^{+1}_{-0})$ in the quenched approximation. The errors represent statistical and systematic as well as the uncertainty in the determination of strange quark mass.

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