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arXiv 1202.4528hep-ph
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夸克/轻子质量和混合的S_3不变模型中的Higgs势

Higgs potential in S_3 invariant model for quark/lepton mass and mixing

Tadayuki Teshima

摘要:

我们分析了S_3单重态和二重态Higgs的S_3不变Higgs势。我们从这个S_3不变的Higgs势得到了一个关系式(|v_1| / |v_2|)^2=-sin 2 phi_2/sin 2 phi_1,其中v_1,v_2和phi_1,phi_2分别是S_3二重态Higgs的真空位动量和相位。我们在研究S_3不变量Yukawa相互作用中夸克/轻子质量和混合时得到的结果:|v_1| / |v_2| =0.207,φ_1 =-74.9deg和φ_2 =0.74deg,可以很好地满足这个关系。进而得到了关系式v_S ~ v_D=sqrt{ |v_1| ^2 + |v_2| ^2}= 174 GeV,从而使Higgs与顶夸克g_{H_Stt} =m_t/v_S的耦合强度与标准值相差2倍sqrt{2}.介绍了在树级产生S_3二重态Higgs、FCNC。稀有衰变μ ^-到e^-e^+e^-、K^0_L到μ ^+μ^-等的预测分支比,由FCNC诱导的,充分低于目前的实验上限。

英文摘要:

We analyzed the S_3 invariant Higgs potential with S_3 singlet and doublet Higgs. We obtained a relation (|v_1|/|v_2|)^2=-sin2phi_2/sin2phi_1 from this S_3 invariant Higgs potential, where v_1, v_2 and phi_1, phi_2 are vacuum pectation values and phases of S_3 doublet Higgs, respectively. This relation could be satisfied exactly by the results |v_1|/ |v_2|=0.207, phi_1=-74.9deg and phi_2=0.74deg obtained from the previous our work analyzing the quark/lepton mass and mixing in S_3 invariant Yukawa interaction. Furthermore, the relation v_S ~ v_D=sqrt{|v_1|^2+|v_2|^2}=174GeV is obtained and then the coupling strength of Higgs to top quark g_{H_Stt}=m_t/v_S is altered as by a factor sqrt{2} from the standard value. Introduced the S_3 doublet Higgs, FCNC are produced in tree level. Predicted branching ratios for rare decays mu^- to e^-e^+e^-, K^0_L to mu^+μ^- etc., induced by the FCNC are sufficiently below the present experimental upper bounds.

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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