Neutrino Masses Without Seesaw Mechanism in a SUSY SU(5) Model With Additional 5ˉL′+5L′\bar{5}'_L+5'_L

A radiatively-induced neutrino mass matrix with a simple structure is proposed on the basis of an SU(5) SUSY GUT model with R-parity violation. The model has matter fields $\bar{5}'_{L}+5'_{L}$ in addition to the ordinary matter fields $\bar{5}_{L}+10_{L}$ and Higgs fields $H_u+\bar{H}_d$. The R-parity violating terms are given by $\bar{5}_{L} \bar{5}_{L} 10_{L}$, while the Yukawa interactions are given by $\bar{H}_d \bar{5}'_{L} 10_{L}$. Since the matter fields $\bar{5}'_L$ and $\bar{5}_L$ are different from each other at the unification scale, the R-parity violation effects at a low energy scale appear only through the $\bar{5}'_L \leftrightarrow \bar{5}_{L}$ mixings. In order to make this R-parity violation effect harmless for proton decay, a discrete symmetry Z_3 and a triplet-doublet splitting mechanism analogous to the Higgs sector are assumed.Comment: 4 pages, 1 figure, talk at ICHEP2004, to appear in Proceeding

Another Formula for the Charged Lepton Masses

A charged lepton mass formula $(m_e +m_\mu + m_\tau)/(\sqrt{m_e}+\sqrt{m_\mu} + \sqrt{m_\tau})^2 =2/3$ is well-known. Since we can, in general, have two relations for three quantities, we may also expect another relation for the charged lepton masses. Then, the relation will be expressed by a form of $\sqrt{m_e m_\mu m_\tau}/(\sqrt{m_e}+\sqrt{m_\mu} + \sqrt{m_\tau})^3$. According to this conjecture, a scalar potential model is speculated.Comment: 5 pages, no figure; a typo in Eq.(7) correcte

Perturbative renormalization of multi-channel Kondo-type models

The poor man's scaling is extended to higher order by the use of the open-shell Rayleigh-Schroedinger perturbation theory. A generalized Kondo-type model with the SU(n) times SU(m) symmetry is proposed and renormalized to the third order. It is shown that the model has both local Fermi-liquid and non-Fermi-liquid fixed points, and that the latter becomes unstable in the special case of n=m=2. Possible relevance of the model to the newly found phase IV in Ce_{x}La_{1-x}B_6 is discussed.Comment: 14 pages, 10 Postscript figure

The Earth's figure axis determined from the polar motion data

The polar motion data is analyzed to obtain accurate position of the figure axis referred to the Earth-fixed frame. The variation of the figure axis should be the basic object to which the geophysical events are linked. By the method of rigid dynamics, the relation between the rotational and the figure axes is derived. The polar motion is the motion of the rotational axis on the Earth's surface and therefore the exact position of the figure axis on the surface at each moment is obtained from the polar motion. Since the accuracy of the recent data for the polar motion is very high, the obtained position of the figure axis is considered to keep good quality. As an average for a long duration of time, the obtained figure axis exhibits stable annual and semi-annual variations while it has no component with the period of the Chandler wobble. Besides this general feature, it shows different patterns from year to year as well as small irregularities with shorter periods, most of which are considered to be significant but not attributed to the observational errors. Further, a simple model is introduced for the cause of the seasonal variation of the figure axis. The model explains both the variation of the figure axis obtained above and that of the rotational speed which is so far known

On the rank functions of H\mathcal{H}-matroids

The notion of $\mathcal{H}$-matroids was introduced by U. Faigle and S. Fujishige in 2009 as a general model for matroids and the greedy algorithm. They gave a characterization of $\mathcal{H}$-matroids by the greedy algorithm. In this note, we give a characterization of some $\mathcal{H}$-matroids by rank functions.Comment: 6 page