Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-11-29
Physics
High Energy Physics
High Energy Physics - Phenomenology
22 pages, 7 figures; v2: rare bug in diagonalization algorithm corrected- little quantitative impact on results
Scientific paper
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 CKM 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 |m_ee| mass matrix element of about 1-6 meV.
Feldstein Brian
Klemm William
No associations
LandOfFree
Large Mixing Angles From Many Right-Handed Neutrinos does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Large Mixing Angles From Many Right-Handed Neutrinos, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Large Mixing Angles From Many Right-Handed Neutrinos will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-14794