A cosmological lower bound on the neutron electric dipole moment

Physics

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Scientific paper

We argue that in a wide class of grand unified theories diagrams similar to those generating baryon number in the early universe also contribute to renormalization of the CP-violating θ parameter of QCD and hence to the neutron electric dipole moment dn. We then use the apparent baryon-to-photon ratio (nB/nγ) >~ 1.3 × 10-10 to deduce an order-of-magnitude lower bound on the neutron electric dipole moment: dn >~ 3 × 10-28 e cm. Conversely the present experimental upper limit on dn implies (nB/nγ) <~ 6 × 10-7. We find as a corollary that there is not much scope for entropy generation after the creation of the baryon-antibaryon asymmetry in the very early universe.

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