Abstract

Minimal universal extra dimensions (mUED) is often thought to predict that the lightest Kaluza-Klein particle (LKP) is the Kaluza-Klein gauge boson ${B}^{1}$, leading to conventional missing energy signals at colliders and weakly interacting massive particle (WIMP) dark matter. In fact, the implications of mUED are far richer: the ${B}^{1}$, charged Higgs boson ${H}^{\ifmmode\pm\else\textpm\fi{}1}$, and graviton ${G}^{1}$ are all possible LKPs, leading to many different phases with distinct signatures. Considering the complete phase diagram, we find predictions for charged or neutral particles with decay lengths of microns to tens of meters; WIMP, superWIMP, or charged relic particles; metastable particles with lifetimes of the order of or in excess of the age of the Universe; and scenarios combining two or more of these phenomena. In the cosmologically preferred region, the Higgs boson mass is between 180 and 245 GeV, the LKP mass is between 810 and 1400 GeV, and the maximal splitting between first Kaluza-Klein modes is less than 320 GeV. This region predicts a variety of exotic collider signals, such as slow charged particles, displaced vertices, tracks with nonvanishing impact parameters, track kinks, and even vanishing charged tracks, all of which provide early discovery possibilities at the Large Hadron Collider.

Highlights

  • The idea that there may be extra spatial dimensions is an old one, going back at least as far as the work of Kaluza andKlein in the 1920’s [1]

  • universal extra dimensions (UED), all particles propagate in flat, compact extra dimensions of size 1018 m or smaller

  • In this study we consider minimal UED in which there is one extra dimension of size R compactified on an S1 =Z2 orbifold, where Z2 is the action y ! y, with y the coordinate of the extra dimension

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Summary

INTRODUCTION

The idea that there may be extra spatial dimensions is an old one, going back at least as far as the work of Kaluza and. Studies of UED focused on the line in model parameter space defined by mh 120 GeV [4] and neglected the existence of the KK graviton G1 [5,6] Given these assumptions, for R1 * 250 GeV, the LKP is the hypercharge gauge boson B1 , and these studies focused on missing energy signals at colliders and weakly interacting massive particle (WIMP) dark matter for cosmology. We begin by excluding the graviton G1 from consideration and define phases to be regions with distinct standard model (NLKP, LKP) pairs With this classification, we explore the collider physics of mUED in Sec. III, and find that long-lived particles with macroscopic decay lengths at colliders are common in the full parameter space. Our conventions and notations are collected in the appendix, along with Feynman rules and other technical details helpful for determining decay widths

MASS SPECTRUM AND PHASE DIAGRAM
LONG-LIVED PARTICLES AT COLLIDERS lR L
COSMOLOGICAL CONSTRAINTS
Diffuse photon flux
WIMP thermal relic density
SUMMARY AND LHC SIGNALS
Notation and approximations
M2 m21
Two-body gravitational decays
GeV 7 M 2 1
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