Can a measurement of theta-13 tell us about quark-lepton unification ?

Details Can a measurement of theta-13 tell us about quark-lepton unification ? Can a measurement of theta-13 tell us about quark-lepton unification ?

2005-04-16

arxiv.org/abs/hep-ph/0504138v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages; 4 figures; Invited talk at Neutrino 2005 (Neutrino Telescope Workshop) in Venice, March, 2005

Scientific paper

We argue that a high precision measurement of the neutrino mixing parameter $\theta_{13}$, within a three neutrino seesaw framework can throw important light on the question of whether the quarks and leptons unify into a single matter at high scales. Based on a number of examples, we conclude that a value of $\theta_{13} \leq {\frac{\Delta m^2_{\odot}}{\Delta m^2_A}}\simeq 0.04$ would require at the minimum a pure leptonic interchange symmetry between $\mu$ and $\tau$ generations for its natural theoretical understanding and will disfavor a quark-lepton unification type theory such as those based on $SU(4)_c$ or SO(10) whereas a bigger value would leave open the possibility of quark lepton unification.

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