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      Sensitivity of the squark flavor mixing to the CP violation of K, B0 and Bs mesons

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          Abstract

          We study the sensitivity of the squark flavor mixing to the CP violating phenomena of K, B0 and Bs mesons in the framework of the split-family scenario, where the first and second family squarks are very heavy, O(10)TeV, on the other hand, the third family squark masses are at O(1)TeV. In order to constrain the gluino-sbottom-quark mixing parameters, we input the experimental data of the CP violations of K, B0, and Bs mesons, that is ϵK, ϕd, and ϕs. The experimental upper bound of the chromo-EDM of the strange quark is also input. In addition, we take account of the observed values ΔMB0, ΔMBs, the CKM mixing |Vub|, and the branching ratio of bsγ. The allowed region of the mixing parameters are obtained as |δdL(dR)13|=00.01 and |δdL(dR)23|=00.04. By using these values, the deviations from the SM are estimated in the CP violations of the B0 and Bs decays. The deviation from the SM one is tiny in the CP asymmetries of B0ϕKS and B0ηK0 due to the chromo-EDM of the strange quark. On the other hand, the CP asymmetries Bsϕϕ and Bsϕη could be largely deviated from the SM predictions. We also predict the time dependent CP asymmetry of B0K0ˉK0 and the semi-leptonic CP asymmetries of B0μX and BsμX. We expect those precise measurements at Belle II, which will provide us interesting tests for the squark flavor mixing.

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          Correlations among new CP violating effects in Delta F = 2 observables

          We point out that the observed CP violation in Bd - bar{Bd} mixing, taking into account the measured ratio Delta Md / Delta Ms, the recently improved lattice value of the non-perturbative parameter BK and an additional effective suppression factor kappa_epsilon ~= 0.92 in epsilon_K neglected sofar in most analyses, may be insufficient to describe the measured value of epsilon_K within the Standard Model (SM), thus hinting at new CP violating contributions to the K - bar{K} and/or Bd - bar{Bd} systems. Furthermore, assuming that Delta Md / Delta Ms is SM-like, the signs and the magnitudes of new physics effects in epsilon_K and in the CP asymmetries S_{psi Ks} and S_{psi phi} may turn out to be correlated. For example, in a scenario with new CP-phases in Bd and Bs mixings being approximately equal and negative, a common new phase ~= - 5 degrees could remove the tension between epsilon_K and S_{psi Ks} present in the SM and simultaneously accommodate, at least partly, the recent claim of S_{psi phi} being much larger than the SM expectation. We emphasize the importance of precise determinations of Vcb, BK, FK and xi_s, to which the parameter epsilon_K and its correlation with the CP violation in the Bd - bar{Bd} system are very sensitive.
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            Natural SUSY and Kaon Mixing in view of recent results from Lattice QCD

            Lattice results are available for Delta S=2 matrix elements for the first time in full QCD, which improve considerably the status of hadronic uncertainties in K-Kbar mixing with respect to earlier phenomenological studies. Using an average of the ETMC and RBC results, we analyze epsilonK in Natural SUSY. This scenario arises as a consistent BSM framework after the latest results from the LHC. The analysis is improved with respect to previous studies including next-to-leading order matching conditions of order (alpha_s)^3. We derive new bounds for SUSY mass insertions in the scenario with a light third generation and study the implications for squark and gluino masses, compared with direct searches at the LHC. Assuming natural values for the flavor violating SUSY couplings of both chiralities, we find that the sbottom must be heavier than 3 TeV for a gluino mass up to 10 TeV. In this scenario no natural values for squark and gluino masses can satisfy the flavor bounds.
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              Triangle Relation of Dark Matter, EDM and CP Violation in B0 Mixing in a Supersymmetric Q6 Model

              We consider a recently proposed supersymmetric model based on the discrete Q6 family group.Because of the family symmetry and spontaneous CP violation the electric dipole moment (EDM), the CP violation in the mixing of the neural mesons and the dark matter mass m_DM are closely related. This triangle relation is controlled by the size of the mu parameters. Loop effects can give rise to large contributions to the soft mass insertions, and we find that the model allows a large CP violation in the B0 system. Its size is comparable with the recent experimental observations at D0 and CDF, and it could be observed at LHCb in the first years. If the parameter space is constrained by the neutron EDM, and flavor changing neutral currents and CP violations in K0 as well as B0 mixing, the triangle relation yields the following bound on the dark matter candidate: 0.12 TeV < m_DM < 0.33 TeV, which is directly observable at LHC. We also compute a_sl^s - a_sl^d, which is observable at LHCb, where a_sl^s(d) is the semi-leptonic CP asymmetryfor the B_s(d) system.
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                Author and article information

                Journal
                01 July 2013
                2013-07-09
                Article
                10.1016/j.physletb.2013.09.051
                1307.0374
                0d0adfe5-d968-457c-97f2-5256fd3d967d

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                23 pages, 10 figures; v2: references are added, minor modification. arXiv admin note: text overlap with arXiv:1212.6486
                hep-ph hep-ex

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