The study of the extended Higgs boson sector within 2HDM model

Consideration of the latest experimental data on the searches for extended sector of Higgs bosons produced at the LHC at a center-of-mass energy of 13 TeV, allows for computer modeling of the properties of supersymmetric particles within 2HDM model. The experimental restrictions on model parameters accounted in FeynHiggs code that is implemented in SusHi program, gave us the possibility to calculate the cross sections and branching fractions for three mechanisms of production and decay of Higgs bosons: 1) pp$\rightarrow H\rightarrow\tau\tau$, 2) pp$\rightarrow A\rightarrow Zh\rightarrow llbb$, 3) pp$\rightarrow H\rightarrow hh\rightarrow bb\tau\tau$ at a center-of-mass energy of 14 TeV. The considered computer modelling make it possible to draw conclusions about the need to take into account the b-associated production process of Higgs bosons for fermionic decay channel at large values of tan$\beta$. Differential cross sections with respect to the Higgs transverse momentum $p_t$ and pseudorapidity $\eta$ are calculated and the peculiarities of the kinematics of the Higgs boson decay products are recognized.Comment: 18 pages, 14 figures, presented at XV Conference of High energy physics, Kharkov, 21-24 March, 201

Magnetic charge and ordering in kagome spin ice

We present a numerical study of magnetic ordering in spin ice on kagome, a two-dimensional lattice of corner-sharing triangles. The magnet has six ground states and the ordering occurs in two stages, as one might expect for a six-state clock model. In spin ice with short-range interactions up to second neighbors, there is an intermediate critical phase separated from the paramagnetic and ordered phases by Kosterlitz-Thouless transitions. In dipolar spin ice, the intermediate phase has long-range order of staggered magnetic charges. The high and low-temperature phase transitions are of the Ising and 3-state Potts universality classes, respectively. Freeze-out of defects in the charge order produces a very large spin correlation length in the intermediate phase. As a result of that, the lower-temperature transition appears to be of the Kosterlitz-Thouless type.Comment: 20 pages, 12 figures, accepted version with minor change

Low-temperature magnetism in the honeycomb systems SrLn2O4

Recent progress in the understanding of the complex magnetic properties of the family of rare-earth strontium oxides, SrLn2O4, is reviewed. These compounds consisting of hexagons and triangles are affected by geometrical frustration and therefore exhibit its characteristic features, such as a significant reduction of magnetic ordering temperatures and complex phase diagrams in an applied field. Some of the observed features appear to be rather remarkable even in the context of the unusual behavior associated with geometrically frustrated magnetic systems. Of particular interest is the coexistence at the lowest temperature of different magnetic structures (exhibiting either long or short-range order) characterized by different propagation vectors in materials without significant chemical or structural disorder.Comment: Review Articl

ДІАГНОСТИЧНИЙ ПОТЕНЦІАЛ НЕВЕРБАЛЬНИХ ЗАСОБІВ СПІЛКУВАННЯ У ДОСЛІДЖЕННІ «ПОЗИТИВНИХ ЦІННОСТЕЙ» ТА ТЕМНИХ РИС ОСОБИСТОСТІ

The paper presents theoretical substantiation and empirical data revealing the differences  in  the  nonverbal  means  of  communication  in  persons  who  stick  to  the  positive values, on the one side, and possess Dark Triad traits, – on the other. The data can be of interest for implicit diagnostics of personality.Рассмотрено теоретическое обоснование и эмпирические данные, касающихся различий в использовании невербальных средств общения при наличии отличий по показателям позитивных ценностей и чертам Тёмной Триады. Данные представляют интерес для решения задач имплицитной диагностики личности.Наведено теоретичне обґрунтування та емпіричні дані щодо розбіжностей у застосуванні невербальних засобів комунікації за наявності у суб’єктів відмінностей у показниках позитивних цінностей, з одного боку, та рис Темної Тріади, – з іншого. Дані становлять інтерес для вирішення завдань імпліцитної діагностики особистості

Changing the Paradigm of the Economic Science under Innovative Development

Objective: to analyze the evolution of the economic science paradigm aimed at forming a system paradigm that allows changing the style of scientific thinking, generating system solutions, in particular, in the field of transformation of labor potential relative to the demands of the digital economy.Methods: the main method of research is the method of unity of the historical and the logical in relation to the evolution of the economic system, scientific views and principles that characterize it, as well as the principle of methodological system, which allows forming an idea of the modern economic system as a multidimensional object.Results: the article briefly examines the evolutionary stages of the economics paradigm; it is revealed that innovative development as an objective process of changing the environment causes the modernization of key subsystems, actualizing the application of a system paradigm that allows linking and presenting an adequate interpretation of emerging facts, events, and phenomena characteristic of the modern realities of the digital economy. The need to expand the innovative potential of labor resources, observed at all stages of the reproduction process, rethinking of the role of labor and its main components puts forward the requirements for its qualitative modernization. The symbiosis of labor relations with cultural, mental and other subsystems, forming the foundations of labor consciousness and the construction of labor behavior, is considered to be an essential argument for expanding research based on a systematic approach. In this regard, scientific and applied developments aimed at the formation of mobile institutional mechanisms and structures, like institutional interaction centers focused on the development of labor potential and its harmonious improvement, enable to expand the range of the used mechanisms, setting them a vector that meets the needs of society.Scientific novelty: based on a systematic approach, a characteristic of new institutional structures is proposed, which is related to social partnership and allows solving the problem of adaptation of labor potential to the demands of the digital economy.Practical significance: the main provisions and conclusions of the article can be used in scientific and pedagogical activities for the formation of institutional centers of interaction