Kaus, Peter and Meshkov, Sydney (2003) Neutrino Mass Matrix and Hierarchy. In: Short Distance Behavior of Fundamental Interations. AIP Conference Proceedings. No.672. American Institute of Physics , Melville, NY, pp. 117125. ISBN 073540139X. http://resolver.caltech.edu/CaltechAUTHORS:20111025160109747

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Abstract
We build a model to describe neutrinos based on strict hierarchy, incorporating as much as possible, the latest known data, for Δ_sol and Δ_atm and for the mixing angles determined from neutrino oscillation experiments, including that from KamLAND. Since the hierarchy assumption is a statement about mass ratios, it lets us obtain all three neutrino masses. We obtain a mass matrix, M_ν and a mixing matrix, U, where both M_ν and U are given in terms of powers of Λ, the analog of the Cabibbo angle λ in the Wolfenstein representation, and two parameters, ρ and k, each of order one. The expansion parameter, Λ, is defined by Λ^2 = m_2/m_3 = √(Δ_sol/Δ_atm) ≈ 0.16, and ρ expresses our ignorance of the lightest neutrino mass m_l, (m_1 = ρ(Λ^4)m_3), while k scales s_13 to the experimental upper limit, s_13 = k(Λ^2)≈ 0.16k. These matrices are similar in structure to those for the quark and lepton families, but with Λ about 1.6 times larger than the λ for the quarks and charged leptons. The upper limit for the effective neutrino mass in double βdecay experiments is 4 × 10^(–3)eV if s_13 = 0 and 6 × 10^(–3)eV if s_13 is maximal. The model, which is fairly unique, given the hierarchy assumption and the data, is compared to supersymmetric extension and texture zero models of mass generation.
Item Type:  Book Section  

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Additional Information:  © 2003 American Institute of Physics. Issue Date: 20 June 2003. We thank the Aspen Center for Physics, where this work started, for its hospitality and stimulating atmosphere.  
Subject Keywords:  neutrino mass; neutrino oscillations; elementary particle weak interactions; eigenvalues and eigenfunctions; CP invariance; mass differences  
Classification Code:  PACS: 14.60.Pq; 12.15.Ff  
Record Number:  CaltechAUTHORS:20111025160109747  
Persistent URL:  http://resolver.caltech.edu/CaltechAUTHORS:20111025160109747  
Official Citation:  Neutrino Mass Matrix and Hierarchy Peter Kaus and Sydney Meshkov, AIP Conf. Proc. 672, 117 (2003), DOI:10.1063/1.1594399  
Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided.  
ID Code:  27427  
Collection:  CaltechAUTHORS  
Deposited By:  Jason Perez  
Deposited On:  26 Oct 2011 22:31  
Last Modified:  26 Dec 2012 14:19 
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