Renormalization Group in 2+ϵ2+\epsilon Dimensions and ϵ→2\epsilon\to2: A simple model analysis

Using a simple solvable model, i.e., Higgs--Yukawa system with an infinite number of flavors, we explicitly demonstrate how a dimensional continuation of the $\beta$ function in two dimensional MS scheme {\it fails\/} to reproduce the correct behavior of the $\beta$ function in four dimensions. The mapping between coupling constants in two dimensional MS scheme and a conventional scheme in the cutoff regularization, in which the dimensional continuation of the $\beta$ function is smooth, becomes singular when the dimension of spacetime approaches to four. The existence of a non-trivial fixed point in $2+\epsilon$ dimensions continued to four dimensions $\epsilon\to2$ in the two dimensional MS scheme is spurious and the asymptotic safety cannot be imposed to this model in four dimensions.Comment: 15 pages, PHYZZX. English is improved, some references are adde

An alternative gauged U(1)RU(1)_R symmetric model in light of the CDF II WW boson mass anomaly

We consider an explanation of CDF II W bosom mass anomaly by $Z-Z'$ mixing with $U(1)_R$ gauge symmetry under which right-handed fermions are charged. It is found that $U(1)_R$ is preferred to be leptophobic to accommodate the anomaly while avoiding other experimental constraints. In such a case we require extra charged leptons to cancel quantum anomalies and the SM charged leptons get masses via interactions with the extra ones. These interactions also induce muon $g-2$ and lepton flavor violations. We discuss muon $g-2$, possible flavor constraints, neutrino mass generation via inverse seesaw mechanism, and collider physics regarding $Z'$ production for parameter space explaining the W boson mass anomaly.Comment: 22 pages, 3 figures, 2 tables; version accepted for publication in Physical Review

Neutrino Mass Model and Dark Matter with Y=0Y=0 Inert Triplet Scalar

We study a one-loop induced neutrino mass model with an inert isospin triplet scalar field of $Y=0$ and heavier Majorana right-handed fermions. We show numerical analysis of neutrino oscillation and lepton flavor violations and demonstrate our allowed regions in cases of normal and inverted hierarchies. Then, we move on to the discussion of dark matter (DM) candidates to satisfy the relic density where we have two candidates; fermionic DM (FDM) and bosonic DM (BDM). And, we classify four cases NH+FDM, NH+BDM, IH+FDM, IH+BDM and search for each of the allowed points in the model.Comment: 15 pages, 6 figures, two table

IEEE 802.11n Physical Layer Implementation on Field Programmable Gate Array

Register transfer level (RTL) development is a time cost step that requires high diligence and fidelity to get the valid interpretation of abstraction function of digital circuit. In this research, we introduce and prove that Model-Based Design Process (MBDP) is an effective and efficient way to develop a RTL complex system such as wireless communication. Using MBDP flow, we interpret, develop, and verify the physical layer RTL of a new standard that ratified on the end 2009, i.e. IEEE 802.11n wireless local area network (WLAN). The result of this research is a prototyping FPGA StratixII EP2S180 that has properly worked as a 2x2 MIMO WLAN with maximum throughput 144 Mbps.

40Ar-39Ar analyses of Juvinas fragments

Three fragments of the Juvinas (eucrite) taken from the main mass with a size of about 30cm were analyzed by the ^Ar-^Ar method in order to examine differences of secondary thermal effects. The brecciated matrix shows a scattered pattern in the ^Ar-^Ar age spectrum, indicating excess ^Ar in the higher temperature fractions. Two other fragments show no definite plateau ages but indicate similar age patterns. A probable disturbance event (s) around 4-4.1 Ga is indicated in the 975-1050℃ fractions. Thus, Juvinas shows evidence of secondary thermal events, probably due to impacts

A CONSIDERATION OF QUANTITATIVE EVALUATION OF DEXTERITY IN SPORTS EXERCISE

The aim of this study was to quantitatively evaluate dexterity on athletic motions. Subjects were three skilled and three non-skilled weight lifters. They performed power clean that is a strength-training motion. We measured trajectories of joints by using motion capture system, and calculated joint torque according to dynamical equations using only kinematic data. In order to evaluate the strength of stretch reflex and that of proprioceptive feedbacks, we employed curve fitting with the recursive least squares method in our proposed torque model that includes a term caused by stretch reflex and feedback terms with respect to the COP and COM position. The results show that the calculated coefficients reflect some dexterous behavior of skilled motions

Neutrinophilic DM annihilation in a model with U(1)Lμ−Lτ×U(1)HU(1)_{L_\mu-L_\tau} \times U(1)_{H} gauge symmetry

We propose a model with two different extra $U(1)$ gauge symmetries; muon minus tauon symmetry $U(1)_{{L_\mu}-L_{\tau}}$ and hidden symmetry $U(1)_H$. Then, we explain muon anomalous magnetic moment, semi-leptonic decays $b\to s\ell\bar\ell$, and dark matter. In particular, we find an intriguing dark matter candidate to be verified by Hyper-Kamiokande and JUNO in the future that request neutrinophilic DM with rather light dark matter mass$\sim{\cal O}(10)$ MeV.Comment: 23 pages, 6 figures, 2 table