435 research outputs found

    Precise Vacuum Stability Bound in the Standard Model

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    In the standard model, a lower bound to the Higgs mass (for a given top quark mass) exists if one requires that the standard model vacuum be stable. This bound is calculated as precisely as possible, including the most recent values of the gauge couplings, corrected two-loop beta functions and radiative corrections to the Higgs and top masses. In addition to being somewhat more precise, this work differs from previous calculations in that the bounds are given in terms of the poles of the Higgs and top quark propagators, rather than ''the MS-bar top quark mass''. This difference can be as large as 6-10 GeV for the top mass, which corresponds to as much as 15 GeV for the Higgs mass lower bound. Concentrating on the top quark mass region from 130 to 150 GeV, I find that for αs=0.117\alpha_s=0.117, mH>75GeV+1.64(mt−140GeV). m_H > 75 {\rm GeV} + 1.64 (m_t - 140 {\rm GeV}). This result increases (decreases) by 3 GeV if the strong coupling decreases (increases) by 0.007, and is accurate to 2 GeV. If one allows for the standard model vacuum to be unstable, then weaker bounds can be obtained.Comment: 9 pages, WM-93-108, in Plain Tex, phyzzx macropackage added at the beginnin

    Random attractors for a class of stochastic partial differential equations driven by general additive noise

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    The existence of random attractors for a large class of stochastic partial differential equations (SPDE) driven by general additive noise is established. The main results are applied to various types of SPDE, as e.g. stochastic reaction-diffusion equations, the stochastic pp-Laplace equation and stochastic porous media equations. Besides classical Brownian motion, we also include space-time fractional Brownian Motion and space-time L\'evy noise as admissible random perturbations. Moreover, cases where the attractor consists of a single point are considered and bounds for the speed of attraction are obtained.Comment: 30 page

    Random attractors for degenerate stochastic partial differential equations

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    We prove the existence of random attractors for a large class of degenerate stochastic partial differential equations (SPDE) perturbed by joint additive Wiener noise and real, linear multiplicative Brownian noise, assuming only the standard assumptions of the variational approach to SPDE with compact embeddings in the associated Gelfand triple. This allows spatially much rougher noise than in known results. The approach is based on a construction of strictly stationary solutions to related strongly monotone SPDE. Applications include stochastic generalized porous media equations, stochastic generalized degenerate p-Laplace equations and stochastic reaction diffusion equations. For perturbed, degenerate p-Laplace equations we prove that the deterministic, infinite dimensional attractor collapses to a single random point if enough noise is added.Comment: 34 pages; The final publication is available at http://link.springer.com/article/10.1007%2Fs10884-013-9294-

    Settling into an Increasingly Hostile World: The Rapidly Closing “Recruitment Window” for Corals

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    Free space is necessary for larval recruitment in all marine benthic communities. Settling corals, with limited energy to invest in competitive interactions, are particularly vulnerable during settlement into well-developed coral reef communities. This situation may be exacerbated for corals settling into coral-depauperate reefs where succession in nursery microhabitats moves rapidly toward heterotrophic organisms inhospitable to settling corals. To study effects of benthic organisms (at millimeter to centimeter scales) on newly settled corals and their survivorship we deployed terra-cotta coral settlement plates at 10 m depth on the Mesoamerican Barrier Reef in Belize and monitored them for 38 mo. During the second and third years, annual recruitment rates declined by over 50% from the previous year. Invertebrate crusts (primarily sponges) were absent at the start of the experiment but increased in abundance annually from 39, 60, to 73% of the plate undersides by year three. Subsequently, substrates hospitable to coral recruitment, including crustose coralline algae, biofilmed terra-cotta and polychaete tubes, declined. With succession, substrates upon which spat settled shifted toward organisms inimical to survivorship. Over 50% of spat mortality was due to overgrowth by sponges alone. This result suggests that when a disturbance creates primary substrate a “recruitment window” for settling corals exists from approximately 9 to 14 mo following the disturbance. During the window, early-succession, facilitating species are most abundant. The window closes as organisms hostile to coral settlement and survivorship overgrow nursery microhabitats
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