Temperature Power Law of Equilibrium Heavy Particle Density

Abstract

A standard calculation of the energy density of heavy stable particles that may pair-annihilate into light particles making up thermal medium is performed to second order of coupling, using the technique of thermal field theory. At very low temperatures a power law of temperature is derived for the energy density of the heavy particle. This is in sharp contrast to the exponentially suppressed contribution estimated from the ideal gas distribution function. The result supports a previous dynamical calculation based on the Hartree approximation, and implies that the relic abundance of dark matter particles is enhanced compared to that based on the Boltzmann equation.

arXiv comment12 pages, LATEX file with 6 PS figures

References in corpus (7)

• Supersymmetric Dark Matter
• Quantum Dissipation and Decay in Medium
• Prolonged Decay and CP-asymmetry
• Quantum Dissipation in Open Harmonic Systems: Operator Solution
• Quantum Kinetic Equation and Cosmic Pair Annihilation
• Quantum Kinetic Equations and Dark Matter Abundances Reconsidered
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Cited by in corpus (9)

• Effective Field Theory out of Equilibrium: Brownian quantum fields
• Particle abundance in a thermal plasma: quantum kinetics vs. Boltzmann equation
• Power Law in Hadron Production
• New Kinetic Equation for Pair-annihilating Particles: Generalization of the Boltzmann Equation
• Time evolution in linear response: Boltzmann equations and beyond
• Finite Temperature Corrections to Relic Density Calculations
• Thermal Abundances of Heavy Particles
• Power-suppressed Thermal Effects from Heavy Particles
• Boltzmann Suppression of Interacting Heavy Particles