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arXiv 0710.3945hep-ph
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新的极小超对称GUT的钉扎

Pinning down the New Minimal Supersymmetric GUT

Charanjit S. Aulakh

摘要:

我们表明,通用的$ {\bf{10\oplus 120\oplus {\bar {126}}}}$适合费米子质量和混合,使用真正的超势耦合,但复杂的“希格斯分数”导致复杂的汤川耦合在有效的MSSM,\emph{overdetermine}(通过一个额外的约束)的超势参数的新的最小超对称SO(10)大统一理论\cite{nmsgut}。因此,在输入$\tanβ$的情况下,应该通过从匪SGUT超势的23个参数生成24个通用拟合参数来正确地进行拟合。每个数值拟合然后\emph{fully specifies}的参数的NMSGUT。分析其所有的影响,模只有剩余的不确定性的超对称性破缺参数,现在是可行的。因此,由于规范统一的尺度和费米子质量的拟合对规范统一的参数的可提取的共同依赖性,在规范统一的尺度和费米子质量的拟合之间提供了对抗的可能性。如果当“确凿的证据”发现超对称性和质子衰变发生时,他们会发现NMSGUT完全容易被证伪。

英文摘要:

We show that generic $ {\bf{10\oplus 120\oplus {\bar {126}}}}$ fits of fermion masses and mixings, using real superpotential couplings but with complex `Higgs fractions' leading to complex yukawa couplings in the effective MSSM, \emph{overdetermine}(by one extra constraint) the superpotential parameters of the New Minimal Supersymmetric SO(10) GUT\cite{nmsgut}. Therefore fits should properly be done by generating the 24 generic fit parameters from the 23 parameters of the NMSGUT superpotential, given $\tanβ$ as input. Each numerical fit then \emph{fully specifies} the parameters of the NMSGUT. An analysis of all its implications, modulo only the residual uncertainty of supersymmetry breaking parameters, is now feasible. Thus the NMSGUT offers the possibility of a confrontation between the scale of gauge unification and the fit to fermion masses due to their extractable common dependence on the NMSGUT parameters. If and when `smoking gun' discoveries of Supersymmetry and Proton decay occur they will find the NMSGUT fully vulnerable to falsification.

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