Fixed Points in the Evolution of Neutrino Mixings
نویسندگان
چکیده
We derive the renormalization group equations for the neutrino masses and mixing angles in explicit form and discuss the possible classes of their solutions. We identify fixed points in the equations for mixing angles, which can be reached during the evolution for several mass patterns and give sin 2θsol = sin 2 2θatm sin 2 θ3/(sin 2 θatm cos 2 θ3 + sin 2 θ3) , consistently with the present experimental information. Further experimental test of this relation is of crucial interest. Moreover, we discuss the stability of quantum corrections to neutrino mass squared differences. Several interesting mass patterns show stability in the presence of fixed point solutions for the angles. a) Theory Division, CERN, Geneva, Switzerland b) Institute of Theoretical Physics, Warsaw University, Poland CERN-TH/99-269 IFT-99/22 October 1999
منابع مشابه
Solving fractional evolution problem in Colombeau algebra by mean generalized fixed point
The present paper is devoted to the existence and uniqueness result of the fractional evolution equation $D^{q}_c u(t)=g(t,u(t))=Au(t)+f(t)$ for the real $qin (0,1)$ with the initial value $u(0)=u_{0}intilde{R}$, where $tilde{R}$ is the set of all generalized real numbers and $A$ is an operator defined from $mathcal G$ into itself. Here the Caputo fractional derivative $D^{q}_c$ is used i...
متن کاملLarge Neutrino Mixing from Renormalization Group Evolution
The renormalization group evolution equation for two neutrino mixing is known to exhibit nontrivial fixed point structure corresponding to maximal mixing at the weak scale. The presence of the fixed point provides a natural explanation of the observed maximal mixing of νμ − ντ if the νμ and ντ are [email protected] [email protected] [email protected] [email protected]...
متن کاملAstrophysical Implications of Neutrino Mass and Mixings
Astrophysical implications of neutrino mass and mixings are discussed. The status of solar and atmospheric neutrino problems, and recent developments concerning nuclear physics input to solar models and solar opacities are reviewed. Implications of neutrino mass and mixings in supernova dynamics are explored. The effects of supernova density fluctuations in neutrino propagation is described.
متن کاملQuantum corrections to the effective neutrino mass operator in 5D MSSM
We discuss in detail a five-dimensional Minimal Supersymmetric Standard Model compactified on S/Z2 extended by the effective Majorana neutrino mass operator. We study the evolution of neutrino masses and mixings. Masses and angles, in particular the atmospheric mixing angle θ23, can be significantly lowered at high energies with respect to their value at low energy.
متن کاملar X iv : h ep - p h / 03 03 15 0 v 1 1 8 M ar 2 00 3 BA - 03 - 04 Neutrino Democracy And Other Phenomenology From 5 D SO ( 10 )
We present a five dimensional supersymmetric SO(10) model compactified on an orbifold S/Z2 ×Z ′ 2. The gauge symmetry G422 ≡ SU(4)c×SU(2)L×SU(2)R, realized on one of the fixed points (branes), is spontaneously broken to the MSSM via the higgs mechanism. Employing a flavor U(1) symmetry and suitably extending the ’matter’ sector enables us to understand large mixings in the neutrino sector via a...
متن کامل