Even tiers and resonances on the Real Projective Plane

TL;DR

This paper analyzes the phenomenology of lightest even tiers in 6D models on a Real Projective Plane, focusing on spectrum corrections, mixing, and collider constraints relevant for dark matter and LHC searches.

Contribution

It provides a detailed analysis of the spectrum, mixing, and collider bounds of even tiers in 6D models on a Real Projective Plane, including loop corrections and radius ratio effects.

Findings

Resonant decay bounds on the radius can reach 600 GeV.

Spectrum and mixing depend on the ratio of the two radii.

LHC data constrains the model parameters.

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.