Spacetime Deformation Effect on the Early Universe and the PTOLEMY Experiment

Abstract

Using a fully-fledged formulation of gauge field theory deformed by the spacetime noncommutativity, we study its impact on relic neutrino direct detection, as proposed recently by the PTOLEMY experiment. The noncommutative background tends to influence the propagating neutrinos by providing them with a tree-level vector-like coupling to photons, enabling thus otherwise right-handed (RH) neutrinos to be thermally produced in the early universe. Such a new component in the universe's background radiation has been switched today to the almost fully active sea of non-relativistic neutrinos, exerting consequently some impact on the capture on tritium at PTOLEMY. The peculiarities of our nonperturbative approach tend to reflect in the cosmology as well, upon the appearances of the coupling temperature, above which RH neutrinos stay permanently decoupled from thermal environment. This entails the maximal scale of noncommutativity as well, being of order of $10^{-4}{M}_{Pl}$, above which there is no impact whatsoever on the capture rates at PTOLEMY. The latter represents an exceptional upper bound on the scale of noncommutativity coming from phenomenology.

7 pages, 3 figures, version to be published in Phys. Lett. B

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Cited by in corpus (9)

• Sterile Neutrino Dark Matter
• Gravitational clustering of cosmic relic neutrinos in the Milky Way
• Nonassociative Snyder phi4 Quantum Field Theory
• Light-by-Light Scattering and Spacetime Noncommutativity
• UV/IR Mixing in Nonassociative Snyder phi^4 Theory
• Seiberg-Witten map Invariant Scatterings
• Inferring the covariant $\Theta$-exact noncommutative coupling in the top quark pair production at linear colliders
• Inferring type and scale of noncommutativity from the PTOLEMY experiment
• Revisiting NCQED and scattering amplitudes