Abstract
We discuss the history of the extra dimensions hypothesis and the physics and phenomenology of models with large extra dimensions with an emphasis on the Randall- Sundrum (RS) model with two branes. We argue that the Standard Model extension based on the RS model with two branes is phenomenologically acceptable only if the inter-brane distance is stabilized. Within such an extension of the Standard Model, we study the influence of the infinite Kaluza-Klein (KK) towers of the bulk fields on collider processes. In particular, we discuss the modification of the scalar sector of the theory, the Higgs-radion mixing due to the coupling of the Higgs boson to the radion and its KK tower, and the experimental restrictions on the mass of the radion-dominated states.
Highlights
The hypothesis about the existence of extra space-time dimensions is discussed in theoretical physics for more than a century
There is a good reason to believe that this hypothesis grew from the ideas formulated by Bernhard Riemann in his famous lecture "On the Hypotheses which lie at the Bases of Geometry" [1]
The first attempt to construct a physical theory in a space-time with extra dimensions was made by Gunnar Nordström in 1914 in his work "On the possibility of unifying the electromagnetic and the gravitational fields" [2], where he tried to unify a relativistic scalar gravity theory, which he was developing at that time, with electrodynamics
Summary
The hypothesis about the existence of extra space-time dimensions is discussed in theoretical physics for more than a century. There is a good reason to believe that this hypothesis grew from the ideas formulated by Bernhard Riemann in his famous lecture "On the Hypotheses which lie at the Bases of Geometry" [1] In this lecture Riemann formulated the notion of n-dimensional space and suggested that the space-time geometry at microscopic distances may be very different from the macroscopic one. The first attempt to construct a physical theory in a space-time with extra dimensions was made by Gunnar Nordström in 1914 in his work "On the possibility of unifying the electromagnetic and the gravitational fields" [2], where he tried to unify a relativistic scalar gravity theory, which he was developing at that time, with electrodynamics. The idea of extra dimensions was abandoned for five years to be rediscovered by Theodor Kaluza and implemented in the framework of Einstein’s general theory of relativity
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