Abstract

We carry out a detailed study of the confinement phase transition in a dark sector with a $SU(N)$ gauge group and a single generation of dark heavy quark. We focus on heavy enough quarks such that their abundance freezes out before the phase transition and the phase transition is of first-order. We find that during this phase transition the quarks are trapped inside contracting pockets of the deconfined phase and are compressed enough to interact at a significant rate, giving rise to a second stage of annihilation that can dramatically change the resulting dark matter abundance. As a result, the dark matter can be heavier than the often-quoted unitarity bound of $\sim100~$TeV. Our findings are almost completely independent of the details of the portal between the dark sector and the Standard Model. We comment briefly on possible signals of such a sector. Our main findings are summarized in a companion letter, while here we provide further details on different parts of the calculation.

Highlights

  • The cosmic abundance of dark matter (DM) is comparable to the abundance of Standard Model (SM) particles up to an Oð1Þ factor [1]

  • We find a dramatic suppression in the final abundance thanks to this phenomenon, which points to much heavier dark matter parameter space than was previously thought

  • We assumed that the dark sector under study is a confining SUð3Þ gauge theory with a single generation of heavy fermions; we assumed a portal exists between the sectors that keeps them in kinetic equilibrium and allows the glueballs and mesons to decay to the SM

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Summary

INTRODUCTION

The cosmic abundance of dark matter (DM) is comparable to the abundance of Standard Model (SM) particles up to an Oð1Þ factor [1]. [44,45,46,47],1 but the effects of the phase transition on the relic abundance of dark matter in confining dark sector models are mostly unexplored, with the exception of a recent study of dark sectors with only light quarks (mq ≤ Λ) [51]. This model allows the DM candidate to be heavier than the perturbative unitarity bound on weakly interacting massive particles (WIMPs), despite being thermal Since this second stage of annihilation is controlled by the dynamics within the dark sector and not the interaction between the dark sector and SM, our results are largely independent of the portal to the SM. For a more condensed discussion than what follows, see the companion paper Ref. [57]

QUALITATIVE OVERVIEW OF COSMOLOGY
Preconfinement epoch
Bubble dynamics
Heavy quarks during the phase transition
Quark pressure on the wall
BOLTZMANN EQUATIONS DURING COMPRESSION
Ingredients of the Boltzmann equations
R vq þ vw vw
N1ðRiÞ
Analytic approximation
Effect of quark pressure and summary of assumptions
Results and discussion
Extensions of our analysis
POTENTIAL EXPERIMENTAL SIGNALS
CONCLUSION
Standard thermodynamics
First half of the phase transition
Second half of the phase transition
Effect of quark pressure
CN α π m2q σ0 CN α3
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