Large Mixing Angles From Many Right-Handed Neutrinos
2012 (English)In: Physical Review D, ISSN 1550-7998, Vol. 85, no 5, 053007- p.Article in journal (Refereed) Published
A beautiful understanding of the smallness of the neutrino masses may be obtained via the seesaw mechanism, whereby one takes advantage of the key qualitative distinction between the neutrinos and the other fermions: right-handed neutrinos are gauge singlets, and may therefore have large Majorana masses. The standard seesaw mechanism, however, does not address the apparent lack of hierarchy in the neutrino masses compared to the quarks and charged leptons, nor the large leptonic mixing angles compared to the small angles of the Cabibbo-Kobayashi-Maskawa matrix. In this paper, we will show that the singlet nature of the right-handed neutrinos may be taken advantage of in one further way in order to solve these remaining problems: Unlike particles with gauge interactions, whose numbers are constrained by anomaly cancellation, the number of gauge singlet particles is essentially undetermined. If large numbers of gauge singlet fermions are present at high energies-as is suggested, for example, by various string constructions-then the effective low-energy neutrino mass matrix may be determined as a sum over many distinct Yukawa couplings, with the largest ones being the most important. This can reduce hierarchy, and lead to large mixing angles. Assuming a statistical distribution of fundamental parameters, we will show that this scenario leads to a good fit to low-energy phenomenology, with only a few qualitative assumptions guided by the known quark and lepton masses. The scenario leads to predictions of a normal hierarchy for the neutrino masses, and a value for the vertical bar m(ee)vertical bar mass matrix element of about 1-6 meV.
Place, publisher, year, edition, pages
2012. Vol. 85, no 5, 053007- p.
Research subject Physics with specialization in Elementary Particle Physics
IdentifiersURN: urn:nbn:se:uu:diva-170263DOI: 10.1103/PhysRevD.85.053007ISI: 000301973000003OAI: oai:DiVA.org:uu-170263DiVA: diva2:508821