What if is very small ? C.S. Lam, McGill/UBC/TRIUMF Hep-ph/0104116 [PLB 507(2001)214] hep-ph/0503159 [PRD 71(2005)093001] hep-ph/0508008.

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Presentation transcript:

What if is very small ? C.S. Lam, McGill/UBC/TRIUMF Hep-ph/ [PLB 507(2001)214] hep-ph/ [PRD 71(2005)093001] hep-ph/

Introduction Standard Model works extremely well, but… Standard Model works extremely well, but… 1. it assumes neutrinos to be massless (X) 2. it can accommodate but not explain fermion masses 3. it does not answer Rabi’s old question An elucidation of these questions may point us a way to how the SM should be extended An elucidation of these questions may point us a way to how the SM should be extended Horizontal symmetry Horizontal symmetry

Neutrino acts weird, maybe it is trying to tell us something ……. Neutrino acts weird, maybe it is trying to tell us something ……. I come into this business with a certain skepticism regarding standard ideologies, and have a penchant to looking for something really different. This is based on the notion that neutrinos are behaving very differently from the quarks and charged leptons in two respects: very large mixings, and relatively small mass splittings. (J.D. Bjorken)

Neutrinos masses and mixings quark Neutrino masses are tiny, mixings are very unlike quarks Is it trying to tell us something special about neutrinos?

neutrinos quarks

Neutrinos have masses, and they mix Horizontal symmetry

Left-Handed 2-3 Symmetry

2-3 symmetry

2-3 symmetry for left-handed neutrinos neutrino masses tiny: seesaw mechanism

Seesaw Mechanism seesaw row

Double Protection with Right-Handed 2-3 Symmetry seesaw suggests

rowcolumn even when one of the two symmetries is broken

Summary 2-3 symmetry for left-handed neutrinos With seesaw mechanism Double protection from right-handed 2-3 symmetry

Other Work on 2-3 Symmetry Mohapatra, Nasri, Yu: hep-ph/ , , Mohapatra, Nasri, Yu: hep-ph/ , , Grimus, Lavoura, et al: hep-ph/ , , , , , Grimus, Lavoura, et al: hep-ph/ , , , , , Koide et al: hep-ph/ , ; Matsuda and Nishiura: hep-ph/ Koide et al: hep-ph/ , ; Matsuda and Nishiura: hep-ph/ Datta, O’Donnell: hep-ph/ Datta, O’Donnell: hep-ph/

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