Anomaly for Model Building

A simple algorithm to calculate the group theory factor entering in anomalies at four and six dimensions for SU(N) and SO(N) groups in terms of the Casimir invariants of their subgroups is presented. Explicit examples of some of the lower dimensional representations of $SU(n), n \leq 5$ and SO(10) groups are presented, which could be used for model building in four and six dimensions.Comment: 9 page

Economic Impacts of Bus Rapid Transit in Southeast Michigan

In recent years, Bus Rapid Transit (BRT) has generated great interest across the United States. There are more than 20 BRT systems in existence, and more are in the planning stage (including in Detroit). Within the next few years, BRT will be planned and implemented phase by phase in various parts of Southeast Michigan. The purpose of this study is to develop a framework to identify probable economic impacts of BRT in Southeast Michigan. Taxable real estate values, injury and fatal crash data, and selected demographics of BRT users, including employment sector, age group, median income, and daily vehicle miles traveled were reviewed to identify Southeast Michigan’s current and future trends. The project team also performed shift-share analysis using Cleveland and Kansas City data to determine the BRT-advantaged age group. The authors recommended a number of action items to attract choice riders and gratify riders who must rely on BRT, such as tax incentives, branding, guaranteed levels of service, etc. Based on the literature review and analysis of existing BRT-related data by the project team, BRT-advantaged job sectors and age groups within the Southeast Michigan region were identified. BRT will be implemented in phases. This will affect the amount, type, and timing of investments in BRT. Considering this uncertainty, the potential economic impacts as a function of type and amount of investment were discussed. It is to be noted that in order to achieve the projected results, the BRT system must be planned, designed, and implemented based on the unique attributes of the Southeast Michigan region rather than by copying a system that has achieved success in another region

About the Mixing and CP Violation in Neutrino System

Suppose the geometrical explaination to the weak CP phase in quark sector is also valid for neutrinos, the mixing and CP violation in neutrino system are discussed. We find a larger $J_{CP}$ than $3\times 10^{-3}$ implys the large-mixing solution for solar neutrino problem. In case of bi-maximal mixing, we predict relative large CP violation with $J_{CP}$ larger than $10^{-3}$ in neutrino system, except the third mixing angle approachs to 0 or $\pi/2$ very closely.Comment: Latex File, 9 pages with 2 EPS figures, Commun. Theor. Phys. in press. A notes and some references are added or renewe

Muon g-2 and Implications for Supersymmetry

A brief review is given of the implications of the recent Brookhaven result on the muon anomaly ($a_{\mu}$) for supersymmetry. We focus mainly on the implications of the recent results for the minimal supergravity unified model. We show that the observed difference implies the existence of sparticles most of which should become observable at the Large Hadron Collider. Further, as foreseen in works prior to the Brookhaven experiment the sign of the difference between experimental prediction of $a_{\mu}$ and its Standard Model value determines the sign of the Higgs mixing parameter $\mu$. The $\mu$ sign has important implications for the direct detection of dark matter. Implications of the Brookhaven result for other low energy phenomena are also discussed.Comment: Based on Invited Plenary talk at the IIIrd International Conference on Non-Accelerator New Physics, Dubna, Russia, June 19-23, 2001. 18 pages, Latex including five figure

Predictive model for dark matter, dark energy, neutrino masses and leptogenesis at the TeV scale

We propose a new mechanism of TeV scale leptogenesis where the chemical potential of right-handed electron is passed on to the $B-L$ asymmetry of the Universe in the presence of sphalerons. The model has the virtue that the origin of neutrino masses are independent of the scale of leptogenesis. As a result, the model could be extended to explain {\it dark matter, dark energy, neutrino masses and leptogenesis at the TeV scale}. The most attractive feature of this model is that it predicts a few hundred GeV triplet Higgs scalar that can be tested at LHC or ILC.Comment: 5 pages (revtex), double column, 2 eps figures, journal version. To appear in Phys. ReV.

DYNAMICS OF COAL AND LIMESTONE EXTRACTION IN MEGHALAYA: A COMPARATIVE ANALYSIS

Coal and limestone are the two important natural resources abundant in Meghalaya. These two minerals have been extracted substantially during last few decades and have been contributing significantly to the employment and income in the state. But the rising extraction over time has raised concern about the sustainability of the progress of the area as the extraction has been going on not for any kind of local industrial development where employment may be generated further and progress would be accelerated. These are mined only to export and earn money without much value addition. Hence an attempt is made to comparatively study the nature of extraction of these two valuable resources and their future possible consequences with respect to the development of the state.extraction of nonrenewable resources, sustainability