We construct extended technicolor (ETC) models that can produce the largesplitting between the masses of the $t$ and $b$ quarks without necessarilyexcessive contributions to the $\rho$ parameter or to neutral flavor-changingprocesses. These models make use of two different ETC gauge groups, such thatleft- and right-handed components of charge $Q=2/3$ quarks transform under thesame ETC group, while left- and right-handed components of charge -1/3 quarksand charged leptons transform under different ETC groups. The models therebysuppress the masses $m_b$ and $m_\tau$ relative to $m_t$, and $m_s$ and $m_\mu$relative to $m_c$ because the masses of the $Q=-1/3$ quarks and charged leptonsrequire mixing between the two ETC groups, while the masses of the $Q=2/3$quarks do not. A related source of the differences between these masssplittings is the effect of the two hierarchies of breaking scales of the twoETC groups. We analyze a particular model of this type in some detail. Althoughwe find that this model tends to suppress the masses of the first twogenerations of down-type quarks and charged leptons too much, it gives usefulinsights into the properties of theories with more than one ETC group.
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机译:我们构建了扩展的彩色(ETC)模型,该模型可以在$ t $和$ b $夸克的质量之间产生较大的分离,而不必对$ \ rho $参数或中性的变味过程做出过多的贡献。这些模型利用两个不同的ETC量规组,例如,电荷$ Q = 2/3 $的夸克的左手和右手分量在同一ETC组下转换,而电荷-1/3夸克的左手和右手分量带电荷的轻子在不同的ETC组下转化。这些模型因此抑制了相对于$ m_t $的质量$ m_b $和$ m_ \ tau $,以及相对于$ m_c $的质量$ m_s $和$ m_ \ mu $,因为$ Q = -1 / 3 $的夸克和带电的轻子需要两个ETC组之间的混合,而$ Q = 2/3 $夸克的质量则不需要。这些质量分裂之间差异的一个相关来源是两个ETC组的分解尺度的两个层次的影响。我们将详细分析这种类型的特定模型。尽管我们发现该模型倾向于过多地抑制前两代下降型夸克和带电轻子的质量,但它为具有多个ETC组的理论性质提供了有用的见解。
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