5,364 research outputs found

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

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    We study the EPR correlation implied by the entangled wavefunction of the B0Bˉ0B^0\bar{B}^0 pair created by the Υ\Upsilon (4S) resonance. The analysis uses the basis provided by the mass eigenstates B1,B2B_1,B_2 rather than the flavour states B0,Bˉ0B^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

    CP-Violating Correlations between Lepton-Charge and Jet-Charge in Z -> b\bar b events

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    Correlations that signal direct CP violation in the bottom sector are suggested. They need data on ZbbˉZ\to b\bar b events which consist of a bottom hadron decay into an exclusive semileptonic channel hνh \ell \nu (where hh is a hadron), and the other bottom hadron decay into a multi-body final state that manifests as a jet in the opposite hemisphere.Comment: 10 pages, Latex, no figures, expanded versio

    Mutual Dependence: A Novel Method for Computing Dependencies Between Random Variables

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    In data science, it is often required to estimate dependencies between different data sources. These dependencies are typically calculated using Pearson's correlation, distance correlation, and/or mutual information. However, none of these measures satisfy all the Granger's axioms for an "ideal measure". One such ideal measure, proposed by Granger himself, calculates the Bhattacharyya distance between the joint probability density function (pdf) and the product of marginal pdfs. We call this measure the mutual dependence. However, to date this measure has not been directly computable from data. In this paper, we use our recently introduced maximum likelihood non-parametric estimator for band-limited pdfs, to compute the mutual dependence directly from the data. We construct the estimator of mutual dependence and compare its performance to standard measures (Pearson's and distance correlation) for different known pdfs by computing convergence rates, computational complexity, and the ability to capture nonlinear dependencies. Our mutual dependence estimator requires fewer samples to converge to theoretical values, is faster to compute, and captures more complex dependencies than standard measures

    Dilepton asymmetries at BB factories in search of ΔB=ΔQ\Delta B =- \Delta Q transitions

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    In order to detect the possible presence of ΔB=ΔQ\Delta B = - \Delta Q amplitudes in neutral BB meson decays, we consider the measurement of decay time asymmetries involving like-sign dilepton events at the BB factories.Comment: 5 pages, latex, no fig

    Searching for a Supersolid in Cold Atom Optical Lattices

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    We suggest a technique for the observation of a predicted supersolid phase in extended Bose-Hubbard models which are potentially realizable in cold atom optical lattice systems. In particular, we discuss important subtleties arising from the existence of the trapping potential which leads to an externally imposed (as opposed to spontaneous) breaking of translational invariance. We show, by carefully including the trapping potential in our theoretical formalism, that noise correlations could prove instrumental in identifying the supersolid and density wave phases. We also find that the noise correlation peak width scales inversely with the relative size of trapped Mott domains.Comment: 5 pages, 4 figure
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