Neutrino mass patterns, WMAP, and Neutrinoless double beta decay

Abstract

Based on the observed neutrino mass-square differences and mixings, we derive a few general patterns for the neutrino mass matrix in the flavor basis, which can correctly describe the atmospheric and solar neutrino data. Upon the most recent result on the absolute neutrino mass bound from WMAP, we can rule out a large portion of the parameter space that claimed by the positive signal in the Heidelberg-Moscow $0\nu \beta \beta$ experiment. In the case when one of the majorana phases is $\pi$, the effective neutrino mass obtained is inconsistent with the claim.

8 pages, references corrected

References in corpus (4)

• First Results from KamLAND: Evidence for Reactor Anti-Neutrino Disappearance
• Indications of Neutrino Oscillation in a 250 km Long-baseline Experiment
• Constraining neutrino oscillation parameters with current solar and atmospheric data
• Three-flavor solar neutrino oscillations with terrestrial neutrino constraints

Cited by in corpus (5)

• The Majorana Neutrinoless Double-Beta Decay Experiment
• Neutrino masses from beta decays after KamLAND and WMAP (Updated including the NC enhanced SNO data)
• Impact of CP phases on neutrinoless double beta decay
• Invisible decays of Higgs and other mesons in models with singlet neutrinos in large extra dimensions
• Protecting the primordial baryon asymmetry in the seesaw model compatible with WMAP and KamLAND