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arXiv 0807.0917hep-phastro-ph.CO
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新的极小超对称GUT:谱、RG分析和费米子拟合

The New Minimal Supersymmetric GUT : Spectra, RG analysis and Fermion Fits

Charanjit S. Aulakh, Sumit K. Garg

摘要:

基于${\bf{210\oplus 10\oplus 120\oplus 126\oplus {\bar {126}}}}$ Higgs系统的超对称SO(10)大统一理论为低能R宇称精确MSSM的出现提供了一个最小框架,并为观测到的中微子质量和混合角提供了一个可行的超对称跷跷板解释。我们提出了MSSM分解的超势不变量,树级轻荷费米子有效Yukawa耦合,温伯格中微子质量产生算符,和$d=5,ΔB=ΔL \neq 0$有效超势的大统一理论参数的公式。我们用它们来确定适合的18个可用的费米子质量混合数据的超势参数的NSSGUT和SUGRY(NUHM)型软超对称性破缺参数($\{m_{\tilde f},m_{1/2},A_0,M^2_{H,\bar H}\} $)在MSSM单圈统一尺度$M_X^0=10^{16.33} $ GeV指定。我们的拟合与电弱对称性破缺和统一约束是兼容的,并在leptogenesis相关的范围内产生右手中微子质量:$10^8-10^{13} $ GeV。匹配SM数据需要通过大的$\tanβ$驱动的阈值校正和特征软Susy破缺谱来降低MSSM中的奇异和下夸克Yukawas。Susy谱具有轻的纯Bino LSP、重的奇异Higgs(inos)和大的$ μ,A_0,M_{H,\bar{H}}$参数$\sim 100$ TeV。典型的第三代超费米子比前两代多\emph{heavier}。斯迈子通常是最轻的带电sfermion,因此提供了一个Bino-CDM共湮灭通道。获得的参数集被用来计算B违规率被发现是一般快得多($\sim 10^{-28}\, yr^{-1}$)比目前的实验限制。改进,可以允许可接受的B违规率确定。

英文摘要:

The supersymmetric SO(10) GUT based on the ${\bf{210\oplus 10\oplus 120\oplus 126\oplus {\bar {126}}}}$ Higgs system provides a minimal framework for the emergence of the R-parity exact MSSM at low energies and a viable supersymmetric seesaw explanation for the observed neutrino masses and mixing angles. We present formulae for MSSM decomposition of the superpotential invariants, tree level light charged fermion effective Yukawa couplings, Weinberg neutrino mass generation operator, and the $d=5,ΔB=ΔL \neq 0$ effective superpotential in terms of GUT parameters. We use them to determine fits of the 18 available fermion mass-mixing data in terms of the superpotential parameters of the NMSGUT and SUGRY(NUHM) type soft supersymmetry breaking parameters ($\{m_{\tilde f},m_{1/2},A_0,M^2_{H,\bar H}\} $) specified at the MSSM one loop unification scale $M_X^0=10^{16.33} $ GeV. Our fits are compatible with electroweak symmetry breaking and Unification constraints and yield right-handed neutrino masses in the leptogenesis relevant range : $10^8-10^{13} $ GeV. Matching the SM data requires lowering the strange and down quark Yukawas in the MSSM via large $\tanβ$ driven threshold corrections and characteristic soft Susy breaking spectra. The Susy spectra have light pure Bino LSP, heavy exotic Higgs(inos) and large $ μ,A_0,M_{H,\bar{H}}$ parameters $\sim 100$ TeV. Typically third generation sfermions are much \emph{heavier} than the first two generations. The smuon is often the lightest charged sfermion thus offering a Bino-CDM co-annihilation channel. The parameter sets obtained are used to calculate B violation rates which are found to be generically much faster($\sim 10^{-28}\, yr^{-1}$) than the current experimental limits. Improvements which may allow acceptable B violation rates are identified.

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