Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-04-27
Phys.Rev.D76:096005,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
29 pages, 4 figures, revtex4. Minor changes in the Introduction, references added. Final version to be published in Phys. Rev.
Scientific paper
10.1103/PhysRevD.76.096005
Symmetry-based ideas, such as the quark-lepton complementarity (QLC) principle and the tri-bimaximal mixing (TBM) scheme, have been proposed to explain the observed mixing pattern of neutrinos. We argue that such symmetry relations need to be imposed at a high scale $\Lambda \sim 10^{12}$ GeV characterizing the large masses of right-handed neutrinos required to implement the seesaw mechanism. For nonhierarchical neutrinos, renormalisation group evolution down to a laboratory energy scale $\lambda \sim 10^3$ GeV tends to radiatively break these symmetries at a significant level and spoil the mixing pattern predicted by them. However, for Majorana neutrinos, suitable constraints on the extra phases $\alpha_{2,3}$ enable the retention of those high scale mixing patterns at laboratory energies. We examine this issue within the Minimal Supersymmetric Standard Model (MSSM) and demonstrate the fact posited above for two versions of QLC and two versions of TBM. The appropriate constraints are worked out for all these four cases. Specifically, a preference for $\alpha_2 \approx \pi$ (i.e. $m_1 \approx -m_2$) emerges in each case. We also show how a future accurate measurement of $\theta_{13}$ may enable some discrimination among these four cases in spite of renormalization group evolution.
Dighe Amol
Goswami Srubabati
Roy Probir
No associations
LandOfFree
Radiatively broken symmetries of nonhierarchical neutrinos does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Radiatively broken symmetries of nonhierarchical neutrinos, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Radiatively broken symmetries of nonhierarchical neutrinos will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-677466