Renormalization Group Effects on the Mass Relation Predicted by the Standard Model with Generalized Covariant Derivatives

Renormalization group analysis is made on the relation $m_{\rm H} \simeq \sqrt{2}m_t$ for masses of the top quark and the Higgs boson, which is predicted by the standard model based on generalized covariant derivatives with gauge and Higgs fields. This relation is a low energy manifestation of a tree level constraint which holds among the quartic Higgs self-coupling constant and the Yukawa coupling constants at a certain high energy scale $\mu_0$. With the renormalization group equation at one-loop level, the evolution of the constraint is calculated from $\mu_0$ down to the low energy region around the observed top quark mass. The result of analysis shows that the Higgs boson mass is in $m_t \lesssim m_{\rm H} \lesssim \sqrt{2}m_t$ for a wide range of the energy scale $\mu_0 \gtrsim m_t$ and it approaches to 177 GeV ($\approx m_t$) for large values of $\mu_0$.Comment: 13 pages, LaTeX, no figure

A Phenomenological Formula for KM Matrix

We propose a phenomenological formula relating the Kobayashi-Maskawa matrix $V_{KM}$ and quark masses in a form $(m_d,\ m_s,\ m_b)\propto (m_u,\ m_c,\ m_t)V_{KM}$. The formula agrees with experimental data well and has an interesting geometric picture. The origin of such a formula is discussed in the standard model.Comment: 9 pages, LaTeX, no figure

実学者上田作之丞の旅

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三浦梅園の思考のはじまり

一 「人心不同如面」と「人心不異如面」 / 二 大同と好尚 / 三 専門性批判 / 四 恕―人倫の世界と天地の学 / 五 気のはたらき / 六 陰陽の表

霊空光謙の噂

一　夜船玄譚 / 二　即心念仏 / 三　妙祐往生伝 / 四　遊蕩 / 五　延命十句観音

妙は唯その人に存す : 妙幢浄慧ノート

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