Analysis of three-neutrino oscillations in the full mixing angle space

D. C. Latimer; D. J. Ernst

paper

Analysis of three-neutrino oscillations in the full mixing angle space

arXiv:nucl-th/0404059

Abstract

We use a model, with no CP violation, of the world's neutrino oscillation data, excluding the LSND experiments, and search the full parameter space ( $0 \leq θ_{12} \leq π /2$ ; $- π /2 \leq θ_{13} \leq π /2$ ; and 0\leqθ_{23} \le π/2 $) f or t h e b es t f i t v a l u eso f t h e mi x in g an g l es an d ma ss - s q u a r e dd i f f er e n ces . W e f in d t ha tt h e mi x in g an g l e$ θ_{13} $i s b o u n d e d b y$ -0.15<θ_{13}<0.20 $w i t hanab so l u t e minim u ma t$ θ_{13}=0.12 $an d a l oc a l minim u ma t$ -0.04 $. T h e im p or t an ceo f t h e n e g a t i v e$ θ_{13} $r e g i o nan d t hi ss t r u c t u r e in t h ec hi - s q u a r es p a ce ha s h er e t o f or e b ee n o v er l oo k e d b ec a u se t h e f a c t or i z a t i o na pp r o x ima t i o n co mm o n l y e m pl oy e d y i e l d sosc i l l a t i o n p r o babi l i t i es t ha t a r e a f u n c t i o n o f$ \sin^2θ_{13}$.

4 pages, 3 figures