TH BSM Forum

Self-consistent Calculation of the Sommerfeld Enhancement

by Ryosuke Sato

Europe/Zurich
4-3-006 - TH Conference Room (CERN)

4-3-006 - TH Conference Room

CERN

100
Show room on map
Description

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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