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Title: Cosmological baryon and lepton number in the presence of electroweak fermion-number violation

Technical Report ·
OSTI ID:6576758

In the presence of rapid fermion-number violation due to nonperturbative electroweak effects certain relations between the baryon number of the Universe and the lepton numbers of the Universe are predicted. In some cases the electron-neutrino asymmetry is exactly specified in terms of the baryon asymmetry. Without introducing new particles, beyond the usual quarks and leptons, it is necessary that the Universe possess a nonzero value of B - L prior to the epoch of fermion-number violation if baryon and lepton asymmetries are to survive. Contrary to intuition, even though electroweak processes violate B + L, a nonzero value of B + L persists after the epoch of rapid fermion-number violation. If the standard model is extended to include lepton-number violation, for example through Majorana neutrino masses, then electroweak processes will reduce the baryon number to zero even in the presence of an initial B - L unless 20 M{sub L} approximately greater than the square root of (T{sub B - L} m{sub P1}) where M{sub L} sets the scale of lepton number violation and T{sub B - L} is the temperature at which a B - L asymmetry is produced. In many models this implies that neutrinos must be so light that they cannot contribute appreciably to the mass density of the Universe.

Research Organization:
Chicago Univ., IL (USA)
OSTI ID:
6576758
Report Number(s):
N-90-24123; NASA-CR-186609; NAS-1.26:186609; FERMILAB-PUB-90/49-A; EFI-90-33; TRN: 91-010600
Country of Publication:
United States
Language:
English