Fuzzy Dark Matter candidates from string theory

String theory has been claimed to give rise to natural fuzzy dark matter candidates in the form of ultralight axions. In this paper we revisit this claim by a detailed study of how moduli stabilisation affects the masses and decay constants of different axion fields which arise in type IIB flux compactifications. We find that obtaining a considerable contribution to the observed dark matter abundance without tuning the axion initial misalignment angle is not a generic feature of 4D string models since it requires a mild violation of the Sf ≲ MP bound, where S is the instanton action and f the axion decay constant. Our analysis singles out C4-axions, C2-axions and thraxions as the best candidates to realise fuzzy dark matter in string theory. For all these ultralight axions we provide predictions which can be confronted with present and forthcoming observations

Model for quantitative tip-enhanced spectroscopy and the extraction of nanoscale-resolved optical constants

Near-field infrared spectroscopy by elastic scattering of light from a probe tip resolves optical contrasts in materials at dramatically sub-wavelength scales across a broad energy range, with the demonstrated capacity for chemical identification at the nanoscale. However, current models of probe-sample near-field interactions still cannot provide a sufficiently quantitatively interpretation of measured near-field contrasts, especially in the case of materials supporting strong surface phonons. We present a model of near-field spectroscopy derived from basic principles and verified by finite-element simulations, demonstrating superb predictive agreement both with tunable quantum cascade laser near-field spectroscopy of SiO$_2$ thin films and with newly presented nanoscale Fourier transform infrared (nanoFTIR) spectroscopy of crystalline SiC. We discuss the role of probe geometry, field retardation, and surface mode dispersion in shaping the measured near-field response. This treatment enables a route to quantitatively determine nano-resolved optical constants, as we demonstrate by inverting newly presented nanoFTIR spectra of an SiO$_2$ thin film into the frequency dependent dielectric function of its mid-infrared optical phonon. Our formalism further enables tip-enhanced spectroscopy as a potent diagnostic tool for quantitative nano-scale spectroscopy.Comment: 19 pages, 9 figure

The joint effects of water and sanitation on diarrhoeal disease: a multicountry analysis of the Demographic and Health Surveys

ObjectivesTo assess whether the joint effects of water and sanitation infrastructure, are acting antagonistically (redundant services preventing the same cases of diarrhoeal disease), independently, or synergistically; and to assess how these effects vary by country and over time.MethodsWe used data from 217 Demographic and Health Surveys conducted in 74 countries between 1986 and 2013. We used modified Poisson regression to assess the impact of water and sanitation infrastructure on the prevalence of diarrhoea among children under 5.ResultsThe impact of water and sanitation varied across surveys, and adjusting for socio‐economic status drove these estimates towards the null. Sanitation had a greater effect than water infrastructure when all 217 surveys were pooled; however, the impact of sanitation diminished over time. Based on survey data from the past 10 years, we saw no evidence for benefits in improving drinking water or sanitation alone, but we estimated a 6% reduction of both combined (prevalence ratio = 0.94, 95% confidence limit 0.91–0.98).ConclusionsWater and sanitation interventions should be combined to maximise the number of cases of diarrhoeal disease prevented in children under 5. Further research should identify the sources of variability seen between countries and across time. These national surveys likely include substantial measurement error in the categorisation of water and sanitation, making it difficult to interpret the roles of other pathways.ObjectifsEvaluer les effets conjoints des infrastructures de l'eau et d'assainissement afin de voir si elles sont des services redondants prévenant les mêmes cas de maladies diarrhéiques, si elles agissent indépendamment ou en synergie et d’évaluer comment ces effets varient selon les pays et au fil du temps.MéthodesNous avons utilisé les données de 217 enquêtes démographiques et santé menées dans 90 pays entre 1986 et 2013. Nous avons utilisé la régression de Poisson modifiée pour évaluer l'impact des infrastructures de l'eau et d'assainissement sur la prévalence de la diarrhée chez les enfants de moins de cinq ans.RésultatsL'impact de l'eau et de l'assainissement variait dans toutes les enquêtes et l'ajustement pour le statut socioéconomique conduisait ces estimations vers le néant. L'assainissement avait un effet plus important que l'infrastructure de l'eau lorsque toutes les 217 enquêtes ont été poolées. Toutefois, l'impact de l'assainissement a diminué au fil du temps. Basé sur des données d'enquêtes des dix dernières années, nous n'avons vu aucune preuve pour les bénéfices de l'amélioration de l'eau potable ou de l'assainissement seuls, mais nous avons estimé une réduction de 6% pour la combinaison des deux (rapport de prévalence = 0,94; IC95%: 0,91 à 0,98).ConclusionsLes interventions sur l'eau et l'assainissement devraient être combinées pour maximiser le nombre de cas de maladies diarrhéiques prévenus chez les enfants de moins de cinq ans. Des recherches supplémentaires devraient identifier les sources de variabilité observées entre les pays et dans le temps. Ces enquêtes nationales comportent probablement une erreur importante de mesure dans la catégorisation de l'eau et de l'assainissement, ce qui rend difficile l'interprétation des rôles des autres voies.ObjetivosEvaluar el efecto conjunto del agua e infraestructura sanitaria, y determinar si son servicios redundantes que previenen los mismos casos de enfermedad diarreica, actúan de forma independiente o actúan de forma sinérgica; y evaluar como dichos efectos varían según el país y a lo largo del tiempo.MétodosHemos utilizado los datos de 217 Censos Demográficos y de Salud realizados en 90 países entre 1986 y 2013. Hemos realizado una regresión de Poisson modificada para evaluar el impacto del agua y de la infraestructura sanitaria sobre la prevalencia de la diarrea en niños menores de cinco años.ResultadosEl impacto del agua y del saneamiento variaba a lo largo de los censos, y el ajustar según el estatus socioeconómico llevaba los resultados a cero. El saneamiento tenía un mayor efecto que la infraestructura para el agua si se agrupaban los 217 censos; sin embargo, el impacto del saneamiento disminuía a lo largo del tiempo. Basado en los datos censales de los últimos diez años, no encontramos evidencia de los beneficios de la mejora del agua para consumo o del saneamiento por sí solos, pero hemos estimado una reducción del 6% de las dos intervenciones combinadas (tasa de prevalencia = 0.94, IC 95% 0.91‐0.98).ConclusionesLas intervenciones en el agua o el saneamiento deberían combinarse para maximizar el número de casos de enfermedad diarréica prevenidas en niños menores de cinco años. Estudios futuros deberían identificar las fuentes de variabilidad observada entre países y a lo largo del tiempo. Es posible que los censos nacionales incluyan un error sustancial en la medición de las categorías de agua y saneamiento, lo cual complica la determinación del papel de vías alternativas.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/110633/1/tmi12441.pd

A Phase Transition between Small and Large Field Models of Inflation

We show that models of inflection point inflation exhibit a phase transition from a region in parameter space where they are of large field type to a region where they are of small field type. The phase transition is between a universal behavior, with respect to the initial condition, at the large field region and non-universal behavior at the small field region. The order parameter is the number of e-foldings. We find integer critical exponents at the transition between the two phases.Comment: 21 pages, 8 figure

X-Ray Diffuse Scattering Study on Ionic-Pair Displacement Correlations in Relaxor Lead Magnesium Niobate

Ionic-pair equal-time displacement correlations in relaxor lead magnesium niobate, $Pb(Mg_{1/3}Nb_{2/3})O_{3}$, have been investigated at room temperature in terms of an x-ray diffuse scattering technique. Functions of the distinct correlations have been determined quantitatively. The results show the significantly strong rhombohedral-polar correlations regarding Pb-O, Mg/Nb-O, and O-O' pairs. Their spatial distribution forms an ellipse or a sphere with the radii of 30-80$\AA$. This observation of local structure in the system proves precursory presence of the polar microregions in the paraelectric state which leads to the dielectric dispersion.Comment: 11 pages, 3 figure

A 2.75-Approximation Algorithm for the Unconstrained Traveling Tournament Problem

A 2.75-approximation algorithm is proposed for the unconstrained traveling tournament problem, which is a variant of the traveling tournament problem. For the unconstrained traveling tournament problem, this is the first proposal of an approximation algorithm with a constant approximation ratio. In addition, the proposed algorithm yields a solution that meets both the no-repeater and mirrored constraints. Computational experiments show that the algorithm generates solutions of good quality.Comment: 12 pages, 1 figur

Gravity Waves and Linear Inflation from Axion Monodromy

Wrapped branes in string compactifications introduce a monodromy that extends the field range of individual closed-string axions to beyond the Planck scale. Furthermore, approximate shift symmetries of the system naturally control corrections to the axion potential. This suggests a general mechanism for chaotic inflation driven by monodromy-extended closed-string axions. We systematically analyze this possibility and show that the mechanism is compatible with moduli stabilization and can be realized in many types of compactifications, including warped Calabi-Yau manifolds and more general Ricci-curved spaces. In this broad class of models, the potential is linear in the canonical inflaton field, predicting a tensor to scalar ratio r=0.07 accessible to upcoming cosmic microwave background (CMB) observations.Comment: pdfLaTeX, 40+1 pages, 4 figure

Fine tuning and the ratio of tensor to scalar density fluctuations from cosmological inflation

The form of the inflationary potential is severely restricted if one requires that it be natural in the technical sense, i.e. terms of unrelated origin are not required to be correlated. We determine the constraints on observables that are implied in such natural inflationary models, in particular on $r$, the ratio of tensor to scalar perturbations. We find that the naturalness constraint does not require $r$ to be lare enough to be detectable by the forthcoming searches for B-mode polarisation in CMB maps. We show also that the value of $r$ is a sensitive discriminator between inflationary models.Comment: 8 pages LaTeX; clarifications and a reference added; to appear in JCA