Supersymmetric grand unified theories: Two-loop evolution of gauge and Yukawa couplings.
Supersymmetric grand unified theories: Two-loop evolution of gauge and Yukawa couplings.
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DOI：
10.1103/physrevd.47.1093
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发表时间：
1992-09
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影响因子：
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通讯作者：
V. Barger;M. Berger;P. Ohmann
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文献类型：
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作者：
V. Barger;M. Berger;P. Ohmann
本文对超对称大统一模型中的规范统一和汤川统一进行了数值研究，并在大统一尺度下考察了费米子质量的定量含义。用[alpha][sub 1]积分重整化群方程（[ital M][sub [ital Z]]）和[alpha][sub 2]（[ital M][sub [ital Z]]）作为输入，我们发现[alpha][sub 3]（[ital M][sub [ital Z]]）[congruent]0.111（0.122）对于[ital M][sub SUSY]=[ital m][sub [ital t]]和[alpha][sub 3]（[ital M][sub [ital Z]]）[全等]0.106（0.116）对于[ital M][sub SUSY]=1 TeV在一圈（两圈）阶。在演化过程中包括[ital B]和[tau] Yukawa耦合，我们发现Yukawa统一的上限为[ital m][sub [ital t]][approx lt]200 GeV.对于给定的[ital m][sub [ital t]][约lt]175 GeV，[beta]有两个解：一个是tan[beta][gt][ital m][sub [ital t]]/[ital m][sub [ital B]]，另一个是sin[beta][congruent]0.78（[ital m][sub [ital t]]/150 GeV）。以统一尺度下的质量矩阵为例，我们得到顶夸克质量的下限为[alpha][sub [ital t]][approx gt]150（115）GeV，（[ital M][sub [ital Z]]）=0.11（0.12），以及如果[alpha][sub 3]（[ital M][sub [ital Z]]）=0.11，则超对称参数tan[beta]的上限[约lt]50。对夸克混合元的演化也作了评价。
We make a numerical study of guage and Yukawa unification in supersymmetric grand unified models and examine the quantitative implications of fermion mass [ital Ansa]$[ital iuml]---[ital tze] at the grand unified scale. Integrating the renormalization group equations with [alpha][sub 1]([ital M][sub [ital Z]]) and [alpha][sub 2]([ital M][sub [ital Z]]) as inputs, we find [alpha][sub 3]([ital M][sub [ital Z]])[congruent]0.111(0.122) for [ital M][sub SUSY]=[ital m][sub [ital t]] and [alpha][sub 3]([ital M][sub [ital Z]])[congruent]0.106(0.116) for [ital M][sub SUSY]=1 TeV at one-loop (two-loop) order. Including [ital b] and [tau] Yukawa couplings in the evolution, we find an upper limit of [ital m][sub [ital t]][approx lt]200 GeV from Yukawa unification. For given [ital m][sub [ital t]][approx lt]175 GeV, there are two solutions for [beta]: one with tan[beta][gt][ital m][sub [ital t]]/[ital m][sub [ital b]], and one with sin[beta][congruent]0.78([ital m][sub [ital t]]/150 GeV). Taking a popular [ital Ansatz] for the mass matrices at the unified scale, we obtain a lower limit on the top-quark mass of [ital m][sub [ital t]][approx gt]150(115) GeV for [alpha][sub 3]([ital M][sub [ital Z]])=0.11(0.12) and an upper limit on the supersymmetry parameter tan[beta][approx lt]50 if [alpha][sub 3]([ital M][sub [ital Z]])=0.11. The evolution of the quark mixing elements is also evaluated.