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

Nov 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phrvd..42.3344h&link_type=abstract

Physical Review D (Particles and Fields), Volume 42, Issue 10, 15 November 1990, pp.3344-3349

Physics

377

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 20ML>~ √TB-LmPl where ML sets the scale of lepton-number violation and TB-L is the temperature at which a B-L asymmetry is produced. In some 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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