Theory Seminar

DATE: 2009-06-30 11:00 -
PLACE: Kenkyu Honkan 2F RM 220
TITLE: Family Gauge Symmetry as an Origin of Koide's Mass Formula and Charged Lepton Spectrum
CONTACT: SAKURAI, Kazuki/sakurai AT post.kek.jp
SPEAKER: Dr. Yukinari Sumino  (Tohoku U.)
LANGUAGE: English
ABSTRACT: Koide's mass formula is an empirical relation among the charged lepton masses which holds with a striking precision. Recently we have proposed mechanisms to explain origins of the charged lepton spectrum as well as Koide's mass formula, on the basis of $U(3) imes O(3)$ family gauge symmetry. In this talk, I review the basic ideas of these mechanisms. We adopt a known scenario, in which the charged lepton spectrum is determined by the vacuum expectation value of a scalar field that takes values on 3-by-3 matrix. Within this scenario, we propose a mechanism, in which the radiative correction induced by $U(3)$ family gauge interaction cancels the QED radiative correction to Koide's mass formula. We consider $SU(9) imes U(1)$ symmetry broken down to $U(3) imes O(3)$ symmetry. This leads to a model which predicts Koide's mass formula and the charged lepton spectrum consistent with the experimental values, by largely avoiding fine tuning of parameters. These are discussed within an effective theory. Radiative corrections as well as other corrections to Koide's mass formula have been taken into account. Referenceˇ§ Phys. Lett. B671 477-480 (2009); JHEP 05 075-1 - 075-43 (2009)

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