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

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

Mar 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cbln.rept.....h&link_type=abstract

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Mathematics

Baryons, Cosmology, Leptons, Mathematical Models, Universe, Weak Interactions (Field Theory), Asymmetry, Broken Symmetry, Neutrinos, Phase Transformations, Quarks

Scientific paper

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.

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