Phenomenological aspects of spontaneous compactification of higher dimensional d is greater than 4 Gauge theories

Abstract

The search for a unified theory of all fundamental particles and their interactions, has been the eternal dream of particle physicists since long. The underlying theoretical concept is beautifully accumulated in the Standard Model (SM), an elegant model of particle physics. However due to certain crucial issues and challenges of SM, beyond Standard Model (BSM) theories are becoming popular. At present, there are three pillars of BSM theories namely: Grand Unification, supersymmetry, and extra dimensions. With the advent of superstring theory as the theory of everything, it is believed that higher dimensional theories (and#119863;gt4), may be the ultimate theory of which the present four-dimensional world is the reminiscent. Four-dimensional physics can be retrieved by compactifying the extra dimensions. Hence search for suitable GUTs, in the effective four dimensions is essential to interpret the ongoing experimental observations at the collider. In the present thesis we explore the prospect of higher dimensional GUTs, specifically the exceptional gauge theory and#119864;8 in and#119863;=10, and aim to study the phenomenological aspects of the effective four-dimensional and#119864;6 models. The phenomenology of and#119864;6 GUT models with or without supersymmetry, has been investigated taking into account the effect of renormalization group analysis, the threshold and the gravitational corrections, which may emerge as a result of compactification. The thesis is based on the following Chapters. In Chapter-I, we give a brief discussion on the salient features of the Standard Model, its extension and the conventional Grand Unified Theories including the role of supersymmetry. Further with reference to higher dimensional theory, a brief description about various compactification schemes for constructing suitable GUT models is given. newline