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Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/142921/1/hep29806_am.pdfhttps://deepblue.lib.umich.edu/bitstream/2027.42/142921/2/hep29806.pd

The Hilbert basis method for D-flat directions and the superpotential

We discuss, using the Hilbert basis method, how to efficiently construct a complete basis for D-flat directions in supersymmetric Abelian and non-Abelian gauge theories. We extend the method to discrete (R and non-R) symmetries. This facilitates the construction of a basis of all superpotential terms in a theory with given symmetries.Comment: 11 pages; a related mathematica code can be found at http://einrichtungen.ph.tum.de/T30e/codes/NonAbelianHilbert

A risk score to predict the development of hepatic encephalopathy in a populationâ based cohort of patients with cirrhosis

Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/146442/1/hep29628_am.pdfhttps://deepblue.lib.umich.edu/bitstream/2027.42/146442/2/hep29628-sup-0001-suppinfo.pdfhttps://deepblue.lib.umich.edu/bitstream/2027.42/146442/3/hep29628.pd

Neutralino Dark Matter in Mirage Mediation

We study the phenomenology of neutralino dark matter (DM) in mirage mediation scenario of supersymmetry breaking which results from the moduli stabilization in some string/brane models. Depending upon the model parameters, especially the anomaly to modulus mediation ratio determined by the moduli stabilization mechanism, the nature of the lightest supersymmetric particle (LSP) changes from Bino-like neutralino to Higgsino-like one via Bino-Higgsino mixing region. For the Bino-like LSP, the standard thermal production mechanism can give a right amount of relic DM density through the stop/stau-neutralino coannihilation or the pseudo-scalar Higgs resonance process. We also examine the prospect of direct and indirect DM detection in various parameter regions of mirage mediation. Neutralino DM in galactic halo might be detected by near future direct detection experiments in the case of Bino-Higgsino mixed LSP. The gamma ray flux from Galactic Center might be detectable also if the DM density profile takes a cuspy shape.Comment: One reference adde

Einsam(er) seit der Coronapandemie: Wer ist besonders betroffen? – psychologische Befunde aus Deutschland

Hintergrund: Soziale Isolation ist ein Risikofaktor für Einsamkeit und damit für gesundheitliche Beeinträchtigungen. Veränderungen im Zusammenhang mit der Coronapandemie in Deutschland gilt es besser zu verstehen. Fragestellung: Ziel der Studie war es, Einsamkeit und assoziierte Faktoren vor und während der Coronapandemie in Deutschland systematisch zu untersuchen. Die Fragestellungen waren: 1. Wie einsam fühlen sich Menschen vor und während der Coronapandemie? 2. Wie viele Menschen fühlen sich seit Beginn der Coronapandemie einsamer? 3. Wie viele Menschen berichten über gesundheitliche Belastungen während der Coronapandemie? Material und Methoden: Im Jahr 2019 (vor der Coronapandemie) wurden 1003 und im Jahr 2020 (während der Coronapandemie) 1050 Erwachsene online befragt (51 % Frauen; 18-90 Jahre). Ergebnisse: Es fühlten sich 10,8 % vs. 26,6 % der Befragten vor bzw. seit der Coronapandemie mehrfach pro Woche oder täglich einsam. Alleinlebende, Frauen und Jüngere fühlten sich häufiger einsam. Seit der Coronapandemie fühlten sich 30,8 % einsamer, v. a. Jüngere. Von starken gesundheitlichen Belastungen berichteten 18,9 %, dies hing mit jüngerem Alter, verschiedenen Sorgen/Ängsten und Einsamkeit zusammen. Diskussion: Die höhere Ausprägung der Einsamkeit und Sorgen während der Coronapandemie sollte bei verhaltensbezogenen Maßnahmen zur Prävention der psychischen und körperlichen Beeinträchtigungen sowie behördlichen Maßnahmen berücksichtigt werden. Jüngere Menschen und Alleinlebende könnten profitieren, indem sie zu gezielten Bewältigungsstrategien (z. B. angemessener Nutzung digitaler Medien) ermutigt werden

Gravitino Dark Matter and Cosmological Constraints

The gravitino is a promising candidate for cold dark matter. We study cosmological constraints on scenarios in which the gravitino is the lightest supersymmetric particle and a charged slepton the next-to-lightest supersymmetric particle (NLSP). We obtain new results for the hadronic nucleosynthesis bounds by computing the 4-body decay of the NLSP slepton into the gravitino, the associated lepton, and a quark-antiquark pair. The bounds from the observed dark matter density are refined by taking into account gravitinos from both late NLSP decays and thermal scattering in the early Universe. We examine the present free-streaming velocity of gravitino dark matter and the limits from observations and simulations of cosmic structures. Assuming that the NLSP sleptons freeze out with a thermal abundance before their decay, we derive new bounds on the slepton and gravitino masses. The implications of the constraints for cosmology and collider phenomenology are discussed and the potential insights from future experiments are outlined. We propose a set of benchmark scenarios with gravitino dark matter and long-lived charged NLSP sleptons and describe prospects for the Large Hadron Collider and the International Linear Collider.Comment: 51 pages, 20 figures, revised version matches published version (results unchanged, JHEP style used, figures replaced with new high-quality figures, typos corrected, references added

Maximal Temperature in Flux Compactifications

Thermal corrections have an important effect on moduli stabilization leading to the existence of a maximal temperature, beyond which the compact dimensions decompactify. In this note, we discuss generality of our earlier analysis and apply it to the case of flux compactifications. The maximal temperature is again found to be controlled by the supersymmetry breaking scale, T_{crit} \sim \sqrt{m_{3/2} M_P}.Comment: 10 pages, 10 figures. v2:comment and references adde

Flux Compactifications: Stability and Implications for Cosmology

We study the dynamics of the size of an extra-dimensional manifold stabilised by fluxes. Inspecting the potential for the 4D field associated with this size (the radion), we obtain the conditions under which it can be stabilised and show that stable compactifications on hyperbolic manifolds necessarily have a negative four-dimensional cosmological constant, in contradiction with experimental observations. Assuming compactification on a positively curved (spherical) manifold we find that the radion has a mass of the order of the compactification scale, M_c, and Planck suppressed couplings. We also show that the model becomes unstable and the extra dimensions decompactify when the four-dimensional curvature is higher than a maximum value. This in particular sets an upper bound on the scale of inflation in these models: V_max \sim M_c^2 M_P^2, independently of whether the radion or other field is responsible for inflation. We comment on other possible contributions to the radion potential as well as finite temperature effects and their impact on the bounds obtained.Comment: 16 pages, 1 figure, LaTeX; v2: typos fixed and references adde

Extended Smoothed Boundary Method for Solving Partial Differential Equations with General Boundary Conditions on Complex Boundaries

In this article, we describe an approach for solving partial differential equations with general boundary conditions imposed on arbitrarily shaped boundaries. A continuous function, the domain parameter, is used to modify the original differential equations such that the equations are solved in the region where a domain parameter takes a specified value while boundary conditions are imposed on the region where the value of the domain parameter varies smoothly across a short distance. The mathematical derivations are straightforward and generically applicable to a wide variety of partial differential equations. To demonstrate the general applicability of the approach, we provide four examples herein: (1) the diffusion equation with both Neumann and Dirichlet boundary conditions; (2) the diffusion equation with both surface diffusion and reaction; (3) the mechanical equilibrium equation; and (4) the equation for phase transformation with the presence of additional boundaries. The solutions for several of these cases are validated against corresponding analytical and semi-analytical solutions. The potential of the approach is demonstrated with five applications: surface-reaction-diffusion kinetics with a complex geometry, Kirkendall-effect-induced deformation, thermal stress in a complex geometry, phase transformations affected by substrate surfaces, and a self-propelled droplet.Comment: This document is the revised version of arXiv:0912.1288v