Seminar

seminar

Self-consistent Calculation of the Sommerfeld Enhancement

  • PLACE Seminar Hall, 4th bldg

The annihilation cross section of the dark matter is one of the most important quantity for the phenomenology of the dark matter. If the dark matter couples with a light force carrier, non-perturbative resummation is required in non-relativistic regime due to so-called Sommerfeld enhancement. A commonly used formula of this cross section is a product of the hard (short-range) scattering cross section and the enhancement factor which is calculated by dark matter two-body wave function. However, it is known that this formula violates the unitarity bound for small velocity if there is zero energy bound state. In this talk, I will discuss the calculation of the dark matter annihilation cross section in non-relativistic quantum mechanics. In our framework, both short-range and long-range effect is treated in a non-perturbative way, and the cross section satisfies the unitarity bound.


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