Measurement of the B0−Bˉ0B^0 -\bar{B}^0 mixing rate with B0(Bˉ0)→D∗∓π±B^0(\bar{B}^0) \to D^{*\mp} \pi^{\pm} partial reconstruction

We report a measurement of the $B^0-\bar{B}^0$ mixing parameter $\Delta m_d$ based on a $\rm 29.1~fb^{-1}$ sample of $\Upsilon (4S)$ resonance decays collected by the Belle detector at the KEKB asymmetric $e^+ e^-$ collider. We use events with a partially reconstructed $B^0(\bar{B}^0) \to D^{*\mp} \pi^{\pm}$ candidate and where the flavor of the accompanying $B$ meson is identified by the charge of the lepton from a $B^0(\bar{B}^0) \to X^{\mp} \ell^{\pm} \nu$ decay. The proper-time difference between the two $B$ mesons is determined from the distance between the two decay vertices. From a simultaneous fit to the proper-time distributions for the same-flavor ($B^0(\bar{B}^0)$, $\ell^{\pm}$) and opposite-flavor ($B^0(\bar{B}^0)$, $\ell^{\mp}$) event samples, we measure the mass difference between the two mass eigenstates of the neutral $B$ meson to be $\Delta m_d$= $(0.509 \pm 0.017~(\rm stat) \pm 0.020~(\rm syst))~ps^{-1}$.Comment: 16 pages, 14 figure

B^0-\bar{B}^0 mixing with quenched lattice NRQCD

We present our recent results for the B-parameters, which parameterize the \Delta B=2 transition amplitudes. Calculations are made in quenched QCD at \beta=5.7, 5.9, and 6.1, using NRQCD for heavy quark and the $O(a)$-improved action for light quark. The operators are perturbatively renormalized including corrections of O(\alpha_s/am_Q). We examine scaling behavior of the B-parameters in detail, and discuss the systematic uncertainties using scatter of results with different analysis procedures adopted. As a result, we find B_{B_d}(m_b)=0.84(2)(8), B_{B_s}/B_{B_d}=1.017(10)(^{+4}_{-0}) and B_{S_s}(m_b)=0.87(1)(9)(^{+1}_{-0}) in the quenched approximation.Comment: Lattice 2000 (Heavy Quark Physics), 4 pages, 4 eps-figures, Latex, typo correcte

Electroweak effects in the B0−Bˉ0B^0-{\bar B}^0 mixing

We compute analytically the complete electroweak two-loop corrections to the $B^0-{\bar B}^0$ mixing. These corrections fix the normalization of the electroweak coupling employed in the extraction of $|V_{td}|$ and reduce the theoretical uncertainty due to higher order electroweak effects from several percent to a few parts in a thousand. If the LO result is expressed in terms of $G_\mu$ or of the $\bar{MS}$ coupling $\hat{g}(M_Z)$, the two-loop corrections are $O(1$, the exact value depending on the mass of the Higgs boson. We discuss in detail the renormalization procedure and the scheme and scale dependence, and provide practical formulas for the numerical implementation of our results. We also consider the heavy top mass expansion and show that in the case at hand it converges very slowly.Comment: LaTeX, 29 pages, 6 postscript figures include

Two-Particle Correlations and B0Bˉ0B^0\bar{B}^0 Mixing

We study the EPR correlation implied by the entangled wavefunction of the $B^0\bar{B}^0$ pair created by the $\Upsilon$(4S) resonance. The analysis uses the basis provided by the mass eigenstates $B_1,B_2$ rather than the flavour states $B^0, \bar{B}^0$. Data on the inclusive dilepton charge ratio are close to the expectation of quantum mechanics, but nearly 8 standard deviations away from that of complete decoherence.Comment: 10 pages, Latex, no figure

B^0-\bar B^0 Mixing in Gauge-Higgs Unification

We discuss flavor mixing and resulting Flavor Changing Neutral Current (FCNC) in a five dimensional SU(3)_color \otimes SU(3) \otimes U'(1) gauge-Higgs unification. Flavor mixing is realized by the fact that the bulk and brane localized mass terms are not diagonalized simultaneously. As the concrete FCNC processes, we calculate the rate of B^0_d-\bar B^0_d mixing and B^0_s-\bar B^0_s mixing due to the exchange of non-zero Kaluza-Klein gluons at the tree level. We obtain a lower bound on the compactification scale of order O(TeV) by comparing our prediction on the mass difference of neutral B meson with the recent experimental data.Comment: 18 pages, 6 figures. arXiv admin note: substantial text overlap with arXiv:1103.5980 [hep-ph

Charge Asymmetry of Same-Sign Dileptons in B0B^0-Bˉ0\bar{B}^0 Mixing

We report a measurement of the charge asymmetry for same-sign dileptons in $B^0$-$\bar{B}^0$ mixing, $A_{\rm sl}$. The data were collected with the Belle detector at KEKB. Using a data sample of 78 fb$^{-1}$ recorded at the $\Upsilon(4S)$ resonance and 9 fb$^{-1}$ recorded at an energy 60 MeV below the resonance, we measure $A_{\rm sl} = (-1.1 \pm 7.9(\text{stat}) \pm 7.0(\text{sys}))\times 10^{-3}$.Comment: 21 pages, 9 figures, 3 tables, submitted to Physical Review

Factorization of the charge correlation function in B0Bˉ0B^0\bar B^0 oscillations

Extraction of the mass difference $\Delta m$ from $B^0\bar B^0$ oscillations involves tagging of bottom flavour at production and at decay. We show that the asymmetry between the unmixed and mixed events factorizes into two parts, one depending on the production-tag and the other on the decay-tag.Comment: 6 pages, Latex, no figure