Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-12-25
Physics
High Energy Physics
High Energy Physics - Phenomenology
6 pages
Scientific paper
Most of what is known about neutrino masses and mixings results from studies of oscillation phenomena. We focus on those neutrino properties that are not amenable to such studies: $\Sigma $, the sum of the absolute values of the neutrino masses; $m_\beta $, the effective mass of the electron neutrino; and $m_{\beta\beta} $, the parameter governing neutrinoless double beta decay. Each of these is the subject of ongoing experimental or observational studies. Here we deduce constraints on these observables resulting from any one of six {\it ad hoc\} hypotheses that involve the three complex mass parameters $m_i$: (1) Their product or (2) sum vanishes; (3) Their absolute values, like those of charged leptons or quarks of either charge, do not form a triangle; (4) The $e$-$e$ entry of the neutrino mass matrix vanishes; (5) Both the $\mu$-$\mu$ and $\tau$-$\tau$ entries vanish; (6) All three diagonal entries are equal in magnitude. The title of this note reflects the lack of any theoretical basis for any of these simple assertions.
No associations
LandOfFree
Playing with Neutrino Masses 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 Playing with Neutrino Masses, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Playing with Neutrino Masses will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-269792