24,577 research outputs found

    Discretized normal approximation by Stein's method

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    We prove a general theorem to bound the total variation distance between the distribution of an integer valued random variable of interest and an appropriate discretized normal distribution. We apply the theorem to 2-runs in a sequence of i.i.d. Bernoulli random variables, the number of vertices with a given degree in the Erd\"{o}s-R\'{e}nyi random graph, and the uniform multinomial occupancy model.Comment: Published in at http://dx.doi.org/10.3150/13-BEJ527 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm

    Study of the heavy CP-even Higgs with mass 125 GeV in two-Higgs-doublet models at the LHC and ILC

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    We assume that the 125 GeV Higgs discovered at the LHC is the heavy CP-even Higgs of the two-Higgs-doublet models, and examine the parameter space in the Type-I, Type-II, Lepton-specific and Flipped models allowed by the latest Higgs signal data, the relevant experimental and theoretical constraints. Further, we show the projected limits on tan⁑β\tan\beta, sin⁑(Ξ²βˆ’Ξ±)\sin(\beta-\alpha), HffΛ‰Hf\bar{f} and HVVHVV couplings from the future measurements of the 125 GeV Higgs at the LHC and ILC, including the LHC with integrated luminosity of 300 fbβˆ’1^{-1} (LHC-300 fbβˆ’1^{-1}) and 3000 fbβˆ’1^{-1} (LHC-3000 fbβˆ’1^{-1}) as well as the ILC at s=250\sqrt{s}=250 GeV (ILC-250 GeV), s=500\sqrt{s}=500 GeV (ILC-500 GeV) and s=1000\sqrt{s}=1000 GeV (ILC-1000 GeV). Assuming that the future Higgs signal data have no deviation from the SM expectation, the LHC-300 fbβˆ’1^{-1}, LHC-3000 fbβˆ’1^{-1} and ILC-1000 GeV can exclude the wrong-sign Yukawa coupling regions of the Type-II, Flipped and Lepton-specific models at the 2Οƒ2\sigma level, respectively. The future experiments at the LHC and ILC will constrain the Higgs couplings to be very close to SM values, especially for the HVVHVV coupling.Comment: 22 pages, 3 tables, 6 figures. Version accepted for publication in JHE

    A simplified 2HDM with a scalar dark matter and the galactic center gamma-ray excess

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    Due to the strong constrain from the LUX experiment, the scalar portal dark matter can not generally explain a gamma-ray excess in the galactic center by the annihilation of dark matter into bbΛ‰b\bar{b}. With the motivation of eliminating the tension, we add a scalar dark matter to the aligned two-Higgs-doublet model, and focus on a simplified scenario, which has two main characteristics: (i) The heavy CP-even Higgs is the discovered 125 GeV Higgs boson, which has the same couplings to the gauge bosons and fermions as the SM Higgs. (ii) Only the light CP-even Higgs mediates the dark matter interactions with SM particles, which has no couplings to WWWW and ZZZZ, but the independent couplings to the up-type quarks, down-type quarks and charged leptons. We find that the tension between SSβ†’bbΛ‰_{SS\to b\bar{b}} and the constraint from LUX induced by the scalar portal dark matter can go away for the isospin-violating dark matter-nucleon coupling with βˆ’1.0<fn/fp<0.7-1.0< f^n/f^p<0.7, and the constraints from the Higgs search experiments and the relic density of Planck are also satisfied.Comment: 12 pages, 3 figures, 1 table; reference adde
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