Abstract

We explore the possibility that Dark Matter is the lightest hadron made of two stable color octet Dirac fermions ${\cal Q}$. The cosmological DM abundance is reproduced for $M_{\cal Q}\approx 12.5$ TeV, compatibly with direct searches (the Rayleigh cross section, suppressed by $1/M_{\cal Q}^6$, is close to present bounds), indirect searches (enhanced by ${\cal Q}{\cal Q}+\bar{\cal Q}\bar{\cal Q}\to {\cal Q}\bar{\cal Q}+{\cal Q}\bar{\cal Q}$ recombination), and with collider searches (where ${\cal Q}$ manifests as tracks, pair produced via QCD). Hybrid hadrons, made of $\cal Q$ and of SM quarks and gluons, have large QCD cross sections, and do not reach underground detectors. Their cosmological abundance is $10^5$ times smaller than DM, such that their unusual signals seem compatible with bounds. Those in the Earth and stars sank to their centers; the Earth crust and meteorites later accumulate a secondary abundance, although their present abundance depends on nuclear and geological properties that we cannot compute from first principles.

Highlights

  • Many models of particle dark matter (DM) have been proposed; one common feature is that DM is a new neutral and uncolored particle

  • We explore the possibility that dark matter (DM) is the lightest hadron made of two stable color octet Dirac fermions Q

  • For example the measured pp cross section corresponds to c ≈ 10. While this expectation is solid at energies of order ΛQCD, at lower temperatures the cross section might be drastically suppressed if the residual van der Waals-like force has a repulsive component, which prevents the particles coming close enough

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Summary

INTRODUCTION

Many models of particle dark matter (DM) have been proposed; one common feature is that DM is a new neutral and uncolored particle. The quorn-onlyum hadrons made of Q only (QQ if Q ∼ 8, and QQQ if Q ∼ 3) are acceptable DM candidates, as they have a small Bohr-like radius a ∼ 1=α3MQ This scenario is believed to be excluded because it predicts other hybrid hadrons where Q binds with SM quarks q or gluons g. Such hybrids, Qqq, QQq, Qq (if Q ∼ 3) and Qg, Qqq 0 (if Q ∼ 8), have size of order 1=ΛQCD and thereby cross sections of order σQCD ∼ 1=Λ2QCD, can be charged, and are subject to strong bounds.

THE MODEL We consider the following extension of the SM1:
Confinement
Eigenvalues in a linear plus Coulombian potential
10 TeV2 1
Decay rates of excited bound states
Cross section for formation of a loose QQ bound state
Cross section for formation of an unbreakable QQ bound state
COSMOLOGICAL RELIC DENSITIES
Q eq2 Q n
Nucleodark synthesis
SIGNALS OF RELIC HYBRID HADRON
Direct detection of hybrid hadrons
10 TeV MQ π
Searches for accumulated hybrid hadrons
Abundance of hybrid hadrons in the Earth
Abundance of hybrid hadrons in meteorites
10 TeV MSIMP
Direct detection of DM
20 TeV6 MDM
Indirect detection of DM
Collider signals of DM
CONCLUSIONS
10 TeV ΛQCD ðB4Þ
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