Korean Institute of Architects

We consider the possibility that the weakly interacting massive particles produced from the evaporation of primordial black hole can explain both the relic density of dark matter and the baryon asymmetry of the Universe, through their annihilation which violate B and CP-symmetry. We find that the primordial black hole with mass less than 107g is a good candidate as an source of TeV dark matter with the total annihilation cross section 〈σaυ〉 ≲ 10-7 GeV-2 and the B-violating scattering cross section 〈σaυ〉 ≲ 2 × 10-9 GeV-2. This large annihilation cross section of dark matter in this model would make it available to search them in the indirect search for dark matter such as gamma-ray or neutrino observations.

We investigate the construction of four-family =1 supersymmetric Pati–Salam models from Type IIA T6/Z2×Z2 orientifold with intersecting D6-branes. Utilizing the deterministic algorithm introduced in He W, Li T and Sun R (2021 arXiv: hep-th/2112.09632), we obtain 274 types of models with three rectangular tori and distinct gauge coupling relations at string scale, while 6 types of models with two rectangular tori and one tilted torus. In both cases, there exists a class of models with gauge coupling unification at string scale. In particular, for the models with two rectangular tori, one tilted torus and gauge coupling unification, the gaugino condensations are allowed, and thus supersymmetry breaking and moduli stabilization are possible for further phenomenological study.

In this article, we deal with stabilities of several functional equations in n-Banach spaces. For a surjective mapping f into a n-Banach space, we prove the generalized Hyers–Ulam stabilities of the cubic functional equation and the quartic functional equation for f in n-Banach spaces.

The physics of the solar dark matter (DM) that are captured and thermalise through the DM-nucleon interaction has been extensively studied. In this work, we consider the leptophilic DM scenario where the DM particles interact exclusively with the electrons through the axial-vector coupling. We investigate relevant phenomenologies in the Sun, including its capture, evaporation and thermalisation, and we calculate the equilibrium distribution using the Monte Carlo methods, rather than adopting a semi-analytic approximation. Based on the analysis, we then determine the minimum testable mass for which the DM-electron coupling strength can be probed via the neutrino observation. Compared to the case of the DM-nucleon interaction, it turns out that minimum detectable mass of the DM-electron interaction is roughly 1 GeV smaller, and a cross section about two orders of magnitude larger is required for the saturation of the annihilation signal.

In this paper, we discuss and calculate the electroweak parameters $R_l$, $A_l$, and $N_{\nu}^l$ in a model that combine inverse seesaw with the scotogenic model. Dark matter relic density is also considered. Due to the stringent constraint from the ATLAS experimental data, it is difficult to detect the loop effect on $R_l$, $A_l$ in this model considering both the theoretical and future experimental uncertainties. However, $N_{\nu}^l$ can sometimes become large enough for the future experiments to verify.

As a number of support programmes for competence improvement are provided to small and medium enterprises (SMEs) in Korea, it is recommended that these enterprises collaborate with each other. However, without information about other enterprises in the industry that they belong to or are planning to enter, many SMEs f ind it diff icult to look for partners that they can collaborate with. This article focuses on extracting a list of enterprises in a supply chain of a specif ic industry through a business information database and a Korean trademark rights database. Also, it focuses on suggesting a methodology that would show a list of actual deals made between enterprises found through a business deal database. Through these, it becomes possible for SMEs to have knowledge about other enterprises and their previous deals in a supply chain or a system of a specif ic industry. SMEs will thus be able to build a suitable business plan based on such information. Moreover, this article will be helpful for policymakers as it will help them understand the system and characteristics of the industry and come up with a suitable programme for the industry that can support SMEs.

In this paper, we introduce and study natural notions of local continuity/boundedness of super-potentials on $${\mathbb {P}}^k$$ . Next, we prove an equidistribution theorem of positive closed (p, p)-currents of $${\mathbb {P}}^k$$ , whose super-potentials are continuous/bounded near an invariant analytic subset, for holomorphic endomorphisms of $${\mathbb {P}}^k$$ . We also consider the case of regular polynomial automorphisms of $$\mathbb C^k$$ .

Natural Next-to-Minimal Supersymmetric Standard Model (nNMSSM) is featured by predicting one CP-even Higgs boson satisfying $m_{h_1} \lesssim 120 \,{\rm GeV}$ and Higgsinos lighter than about 300 GeV, and consequently the cross section for DM-nucleon scattering in this scenario is usually quite large. We study the diphoton signal of the light Higgs boson in nNMSSM by considering the tight constraints from the latest LUX and PandaX-II experiments, and we conclude that the optimal value of the signal rate at 8 TeV LHC is greatly reduced in comparison with earlier predictions. For example, previous studies indicated that the rate may exceed $120 \,{\rm fb}$ for $m_{h_1} \simeq 80 \,{\rm GeV}$, while it is at most $25 \,{\rm fb}$ if the lightest neutralino in the scenario is fully responsible for the measured DM relic density. We also investigate the case of $m_{h_1} \simeq 98 \,{\rm GeV}$ which is hinted by the excesses of the LEP analysis on $Z \bar{b} b$ signal and the CMS analysis on the diphoton signal. We conclude that nNMSSM can explain simultaneously the excesses at $1\sigma$ level without violating any known constraints.