Einstein-Cartan Portal to Dark Matter. (arXiv:2008.11686v1 [hep-ph])
<a href="http://arxiv.org/find/hep-ph/1/au:+Shaposhnikov_M/0/1/0/all/0/1">Mikhail Shaposhnikov</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Shkerin_A/0/1/0/all/0/1">Andrey Shkerin</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Timiryasov_I/0/1/0/all/0/1">Inar Timiryasov</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Zell_S/0/1/0/all/0/1">Sebastian Zell</a>
It is well-known since the works of Utiyama and Kibble that the gravitational
force can be obtained by gauging the Lorentz group, which puts gravity on the
same footing as the Standard Model fields. The resulting theory —
Einstein-Cartan gravity — inevitably contains a four-fermion interaction that
originates from torsion associated with spin degrees of freedom. We show that
this interaction leads to a novel universal mechanism for producing singlet
fermions in the Early Universe. These fermions can play the role of dark matter
particles. The mechanism is operative in a large range of dark matter particle
masses: from a few keV up to $sim 10^8~$GeV. We discuss potential
observational consequences of keV-scale dark matter produced this way, in
particular for right-handed neutrinos. We conclude that a determination of the
primordial dark matter momentum distribution might be able to shed light on the
gravity-induced fermionic interactions.
It is well-known since the works of Utiyama and Kibble that the gravitational
force can be obtained by gauging the Lorentz group, which puts gravity on the
same footing as the Standard Model fields. The resulting theory —
Einstein-Cartan gravity — inevitably contains a four-fermion interaction that
originates from torsion associated with spin degrees of freedom. We show that
this interaction leads to a novel universal mechanism for producing singlet
fermions in the Early Universe. These fermions can play the role of dark matter
particles. The mechanism is operative in a large range of dark matter particle
masses: from a few keV up to $sim 10^8~$GeV. We discuss potential
observational consequences of keV-scale dark matter produced this way, in
particular for right-handed neutrinos. We conclude that a determination of the
primordial dark matter momentum distribution might be able to shed light on the
gravity-induced fermionic interactions.
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