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arXiv 0902.4644hep-ph
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夸克和轻子质量比的新GUT预言与唯象学

New GUT predictions for quark and lepton mass ratios confronted with phenomenology

Stefan Antusch, Martin Spinrath

摘要:

从大统一理论对称性破缺的群论因素可以导致夸克和轻子质量(或汤川耦合)在统一尺度的比例的预测。由于超对称(SUSY)阈值校正的可行性,这种预测可以强烈依赖于超对称参数。对于三个常见的最小超对称性破坏的异常,规范和重力调解的情况下,我们调查的大统一体的比例$m_e/m_d$,$m_μ/m_s$,$y_τ/y_b$和$y_t/y_b$被允许时,从电弱精密观测,$B$物理,$(g-2)_μ$,从直接搜索以及可选的,从观察到的暗物质密度的约束的质量限制被考虑在内。我们推导出可能的新的预测的大统一体规模的质量比,并比较它们与现象学允许的范围。我们发现,新的GUT规模的预测,如$m_μ/m_s = 9/2$或6和$y_τ/y_b = 3/2$或2往往有利于普遍存在的关系相比,$m_μ/m_s = 3$或$y_τ/y_b =1$。他们是可行的特征超对称性的情况下,测试在欧洲核子研究中心的大型强子对撞机和未来的对撞机。

英文摘要:

Group theoretical factors from GUT symmetry breaking can lead to predictions for the ratios of quark and lepton masses (or Yukawa couplings) at the unification scale. Due to supersymmetric (SUSY) threshold corrections the viability of such predictions can depend strongly on the SUSY parameters. For three common minimal SUSY breaking scenarios with anomaly, gauge and gravity mediation we investigate which GUT scale ratios $m_e/m_d$, $m_μ/m_s$, $y_τ/y_b$ and $y_t/y_b$ are allowed when phenomenological constraints from electroweak precision observables, $B$ physics, $(g-2)_μ$, mass-limits on sparticles from direct searches as well as, optionally, constraints from the observed dark matter density are taken into account. We derive possible new predictions for the GUT scale mass ratios and compare them with the phenomenologically allowed ranges. We find that new GUT scale predictions such as $m_μ/m_s = 9/2$ or 6 and $y_τ/y_b = 3/2$ or 2 are often favoured compared to the ubiquitous relations $m_μ/m_s = 3$ or $y_τ/y_b =1$. They are viable for characteristic SUSY scenarios, testable at the CERN LHC and future colliders.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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