Modified Zee mass matrix with zero-sum condition

3 Neutrino Masses with “ Zero Sum ” Condition

Neutrino Masses with “Zero Sum ” Condition: mν1 + mν2 + mν3

Viability of bimaximal solution of the Zee mass matrix

We know Le −Lμ −Lτ symmetry gives m1 = m2 >> m3 pattern in Zee model. ∆m⊙ emerges from a small breaking of this symmetry. Because this symmetry is broken very weakly θ⊙ does not deviate much from tan θ⊙ = 1 which is its value in the symmetric limit. This gives a mismatch with LMA solution where mixing is large but not exactly maximal. We confront this property of Zee mass matrix by phenomenolog...

Is the Zee model neutrino mass matrix ruled out ?

A very economic model of generating small neutrino masses is the Zee model. This model has been studied extensively in the literature with most of the studies concentrated on the simplest version of the model where all diagonal entries in the mass matrix are zero. SNO, and KamLAND data disfavor this simple version, but only when one also combines information from atmospheric and K2K data, can o...

Monochromatic and Zero-Sum Sets of Nondecreasing Modified Diameter

Let m be a positive integer whose smallest prime divisor is denoted by p, and let Zm denote the cyclic group of residues modulo m. For a set B = {x1, x2, . . . , xm} of m integers satisfying x1 < x2 < · · · < xm, and an integer j satisfying 2 ≤ j ≤ m, define gj(B) = xj − x1. Furthermore, define fj(m, 2) (define fj(m, Zm)) to be the least integer N such that for every coloring ∆ : {1, . . . ,N} ...