Abstract
Abstract In this work we focus on various phenomenological aspects of the lightest even tiers, (2, 0) and (0, 2), in models based on a Real Projective Plane in 6 dimensions. We discuss the spectrum of the levels due to loop corrections, and the limit when the two radii are equal, in which case the two levels mix with each other and a new basis is defined. We also discuss the dependence of the spectrum on the ratio of the two radii. These results are essential to understand the phenomenology of the model at colliders (LHC) and to predict the relic abundance of Dark Matter. Finally, we estimate the bounds on the radius from resonant decays of the even tiers at the LHC, showing that they can be in the 600 GeV range after the complete analysis of the 2011 data.
Highlights
A compelling evidence of new physics has been around since 80 years: it is confirmed in a wide range of observations, from astrophysical observations of the rotation curves in galaxies, through weak gravitational lensing and the Cosmic Microwave Background fluctuations, up to simulations of the galaxy formations in the early Universe, that we need a large amount of Dark Matter in the Universe
A common ground is the presence of a discrete symmetry that stabilises the Dark Matter particle and prevents or strongly suppresses decays to SM states: such symmetry is usually added ad hoc, and in the best cases is accidental or it carries along other benefits for the model
Due to the large interest given to supersymmetric models, many of these signatures have not been thoroughly explored
Summary
We will consider a quantum field theory defined on a d dimensional flat manifold chosen to be the direct product of the standard four-dimensional Minkowski space-time M4 and a d − 4-dimensional orbifold. Our aim is to consider orbifolds without fixed points. Imposing by hand that the localised interactions on the two fixed points are equal, a KK parity can be obtained: the mirror symmetry is not a good symmetry because the two chiralities of massive fermions would have opposite parity, it is equivalent to a translation y → y + πR combined with the Z2 symmetry that defines the orbifold This scenario has been studied in the literature [10], and it was the first example of Dark Matter in extra dimensions: the symmetry is imposed ad hoc and it is broken, for instance by bulk mass terms for the fermions which control the localisation of the massless zero modes. Among all possible descriptions of the real projective plane that are topologically equivalent spaces, we choose the simplest case with flat bulk metric: the spherical projective plane has been considered in [11], and it leads to a completely different phenomenology
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