Radiative Magnification of Neutrino Mixings in Split Supersymmetry

Abstract

Radiative corrections to neutrino mixings in seesaw models depend on the nature of new physics between the weak and the GUT-seesaw scales and can be taken into account using the renormalization group equations. This new physics effect becomes particularly important for models with quasi-degenerate neutrino masses where small neutrino mixings at the seesaw scale can get magnified by radiative renormalization effects alone to match observations. This mechanism of radiative magnification which provides a simple understanding of why lepton mixings are so different from quark mixings was demonstrated by us for the standard supersymmetry scenario where the particle spectrum becomes supersymmetric above the weak scale. In this paper, we examine this phenomenon in split supersymmetry scenarios and find that the mechanism works also for this scenario provided the SUSY scale is at least 2-3 orders below the GUT-seesaw scale and one has larger values of $\tan \beta$.

11 pages and 5 figures, references updated and better figures included

References in corpus (6)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Aspects of Split Supersymmetry
• Running Neutrino Mass Parameters in See-Saw Scenarios
• Dark Matter in the Finely Tuned Minimal Supersymmetric Standard Model
• Hierarchically Split Supersymmetry with Fayet-Iliopoulos D-terms in String Theory
• Threshold Effects on Quasi-degenerate Neutrinos with High-scale Mixing Unification

Cited by in corpus (16)

• Minimal SO(10) splits supersymmetry
• Intermediate left-right gauge symmetry, unification of couplings and fermion masses in SUSY $SO(10)\times S_4$
• Neutrino Mixings and Leptonic CP Violation from CKM Matrix and Majorana Phases
• Running of Low-Energy Neutrino Masses, Mixing Angles and CP Violation
• High Scale Mixing Unification for Dirac Neutrinos
• New mechanism for Type-II seesaw dominance in SO(10) with low-mass Z-prime, RH neutrinos, and verifiable LFV, LNV, and proton decay
• Grand Unification of Flavor Mixings
• Precise predictions for Dirac neutrino mixing
• Predictions from High Scale Mixing Unification Hypothesis
• High scale mixing relations as a natural explanation for large neutrino mixing
• Purely Triplet Seesaw and Leptogenesis within Cosmological Bound, Dark Matter and Vacuum Stability
• Unification Predictions With or Without Supersymmetry
• Predictions From High Scale Mixing Unification Hypothesis
• Majorana phases in high-scale mixings unification hypotheses
• SU(5) unification of two triplet seesaw and leptogenesis with dark matter and vacuum stability
• Can Leptonic Mixing Matrix have a Wolfenstein Form?