Quasi-Topological Ricci Polynomial Gravities

Quasi-topological terms in gravity can be viewed as those that give no contribution to the equations of motion for a special subclass of metric ans\"atze. They therefore play no r\^ole in constructing these solutions, but can affect the general perturbations. We consider Einstein gravity extended with Ricci tensor polynomial invariants, which admits Einstein metrics with appropriate effective cosmological constants as its vacuum solutions. We construct three types of quasi-topological gravities. The first type is for the most general static metrics with spherical, toroidal or hyperbolic isometries. The second type is for the special static metrics where $g_{tt} g_{rr}$ is constant. The third type is the linearized quasi-topological gravities on the Einstein metrics. We construct and classify results that are either dependent on or independent of dimensions, up to the tenth order. We then consider a subset of these three types and obtain Lovelock-like quasi-topological gravities, that are independent of the dimensions. The linearized gravities on Einstein metrics on all dimensions are simply Einstein and hence ghost free. The theories become quasi-topological on static metrics in one specific dimension, but non-trivial in others. We also focus on the quasi-topological Ricci cubic invariant in four dimensions as a specific example to study its effect on holography, including shear viscosity, thermoelectric DC conductivities and butterfly velocity. In particular, we find that the holographic diffusivity bounds can be violated by the quasi-topological terms, which can induce an extra massive mode that yields a butterfly velocity unbound above.Comment: Latex, 56 pages, discussion on shear viscosity revise

SU(3)FSU(3)_{F} Gauge Family Model and New Symmetry Breaking Scale From FCNC Processes

Based on the $SU(3)_{F}$ gauge family symmetry model which was proposed to explain the observed mass and mixing pattern of neutrinos, we investigate the symmetry breaking, the mixing pattern in quark and lepton sectors, and the contribution of the new gauge bosons to some flavour changing neutral currents (FCNC) processes at low energy. With the current data of the mass differences in the neutral pseudo-scalar $P^{0}-\bar{P}^{0}$ systems, we find that the $SU(3)_{F}$ symmetry breaking scale can be as low as 300TeV and the mass of the lightest gauge boson be about $100$TeV. Other FCNC processes, such as the lepton flavour number violation process $\mu^{-}\rightarrow e^{-}e^{+}e^{-}$ and the semi-leptonic rare decay $K\rightarrow \pi \bar{\nu} \nu$, contain contributions via the new gauge bosons exchanging. With the constrains got from $P^0-\bar{P}^0$ system, we estimate that the contribution of the new physics is around $10^{-16}$, far below the current experimental bounds.Comment: 3figure

Exploring the development of localization of county image construction in Anhui Province under the perspective of media fusion

The research is financed by Social Science Project of Anhui Provincial Education Department - Key Project- SK2021A0015. Abstract With the unprecedented attention paid to the construction of county-level integrated media centres, the importance of building and disseminating the image of counties has been overlooked. This paper focuses on the practice of county-level integrated media centres in Anhui Province, and explores the development of localised county image construction in the context of media fusion, so as to help county-level integrated media centres effectively integrate into the ecological cycle of county development and further improve the communication and marketing of county images. Keywords: county image building, county integrated media centre, media image DOI: 10.7176/NMMC/104-09 Publication date: June 30th 2023

W±H∓W^{\pm}H^{\mp} associated production at LHC in the general 2HDM with Spontaneous CP Violation

Spontaneous CP violation motivates the introduction of two Higgs doublets in the electroweak theory. Such a simple extension of the standard model has three neutral Higgs bosons and a pair charged Higgs, especially it leads to rich CP-violating sources including the induced Kobayashi-Maskawa CP-violating phase, the mixing of the neutral Higgs bosons due to the CP-odd Higgs and the effective complex Yukawa couplings of the charged and neutral Higgs bosons. Within this model, we present the production of a charged Higgs boson in association with a W boson at the LHC, and calculate in detail the cross section and the transverse momentum distribution of the associated W boson.Comment: 16 pages, 6 figures, omitted 3 figures, motivations for Type III 2HDM with SCPV is emphasized, to be published in PR

STATISTICAL METHODS FOR BRAIN IMAGING GENOMICS

Brain Imaging genetic studies examine genetic basis of brain images to better understand the genetic impact on behavior and disease phenotypes. Methods for identifying genetic associations with voxelwise brain imaging data have evolved from parallel analysis on each voxel to incorporating spatial smoothness and correlation to increase statistical detection power. Challenges still exist on the joint analysis of imaging data and genetic data, including imperfect alignment of affected regions and registration error, low signal to noise ratio in high-dimensional data, complex relationships, high computation complexity, and between-study heterogeneity. To address these issues, the following methods are proposed.First, to deal with imperfect alignment and registration error in brain imaging data, we proposed a region-based functional genome-wide association detection method, which also reduces computation burden as compared to standard voxelwise methods. The method summarizes regional voxelwise measurements into density curves. The non-parametric ball covariance test is then used to detect association between the log-quantile transformed regional densities and genetic markers. We compared the ball covariance test with other state-of-the-art methods on simulated datasets and demonstrate good sensitivity and specificity of our method. Second, we combined functional partial least squares with distance correlation to reduce computation burden of high dimensional data and allow flexible characterization of the imaging-genetic relationship. Third, given imaging-genetic data from more than one studies, we theoretically compared the ensembled learner and merged learner in the prediction problem, where learners are trained using the multivariate varying coefficient model and multi-study data are assumed to come from a mixed model, where the mixed effect represents inter-study heterogeneity.Doctor of Philosoph

3,6-Dichloro-N-(4,6-dichloro­pyrimidin-2-yl)picolinamide

In the title compound, C10H4Cl4N4O, the pyridine and pyrimidine rings are nearly perpendicular to each other, the dihedral angle between them being 86.60 (10)°. In the crystal structure, the N and O atoms in the amide group are involved in inter­molecular hydrogen bonds, forming a one-dimensional chain along the c axis