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A generalized left-right symmetric model with two higgs bi-doublets

A generalized left-right symmetric model with two higgs bi-doublets. Yun-Jie Huo, Li -ming Wang, Yue-Liang Wu, in preparition. Wang Li-Ming ITP of CAS S ep . 20, 2008 Jinan. Contents. Minimal L-R model Problems & Motivation The generalized model & Solution Numerical results Conclusion.

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A generalized left-right symmetric model with two higgs bi-doublets

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  1. A generalized left-right symmetric model with two higgs bi-doublets Yun-Jie Huo, Li-ming Wang, Yue-Liang Wu, in preparition Wang Li-Ming ITP of CAS Sep. 20, 2008 Jinan

  2. Contents • Minimal L-R model • Problems & Motivation • The generalized model & Solution • Numerical results • Conclusion CPS 2008 Particle Physics & Field Theory & Cosmology

  3. Motivation • Parity restoration • SPV & SCPV • Small neutrino mass • TeV physics CPS 2008 Particle Physics & Field Theory & Cosmology

  4. L-R gauge symmetry L-R discrete symmetry Gauge sector Fermion Sector Fermion-Gauge CPS 2008 Particle Physics & Field Theory & Cosmology

  5. Higgs sector Higgs-Gauge Higgs-Fermion CPS 2008 Particle Physics & Field Theory & Cosmology

  6. Parity transformation CP conservation Manifest: k_1,k_2 real, Quasi manifest: k_1,k_2 real, ♣ Pseudo manifest: More general case ... CPS 2008 Particle Physics & Field Theory & Cosmology

  7. Higgs potential ECPV VEV see-saw: Fine tuning: CPS 2008 Particle Physics & Field Theory & Cosmology

  8. Neutrino mass Type II Seesaw TeV Physics VEV Seesaw Puzzle Unnaturalness? CPS 2008 Particle Physics & Field Theory & Cosmology

  9. Quark mass & calculable CKM phases inputs 12 equations 6 real parameters 6 CKM phases inputs LR and SCPV Powerful Prediction ! CPS 2008 Particle Physics & Field Theory & Cosmology

  10. Kaon mixing & FCNC CPS 2008 Particle Physics & Field Theory & Cosmology

  11. Problems in the minimal model (summary) no phenomenology serious fine-tuning • VEV see-saw unnaturalness no SCPV • SCPV fine-tuning & large FCNC phen. bound on RH scale: • FCNC wrong decoupling limit: theoretical inconsistence P. Ball, etal., Nucl. Phys. B 572 3–35 (2000) CPS 2008 Particle Physics & Field Theory & Cosmology

  12. Comments • All thes problems result from the strong constraints of LR symmetries on the structure of the theory： vacuum hierarchy, calculable CKM phases,etc. • An effective solution to these problems works under generalized Higgs sector and/or Fermion Yukawa sector. • One can abandon SCPV to relax the vacuum minimazation and have free Yukawa, like that in SM. • Or, one can preserve SCPV by enlarging the Higgs sector for more flexible higgs potential and Fermion mixings. NPB, 802, 247 (2008); PRD 76, 091301 (2007) our choice CPS 2008 Particle Physics & Field Theory & Cosmology

  13. Our solution Generalized Higgs sector: Generalized Yukawa: Generalized potential and VMC new term CPS 2008 Particle Physics & Field Theory & Cosmology

  14. Save SCPV: terms cancell with each other (fine-tuning) which indicates: Resolve VEV see-saw: Global U(1) symmetry O. Khasanoy, etal., PRD 65, 053007 (2002);K. Kiers, etal., PRD 73, 033009 (2006) Naturalness? CPS 2008 Particle Physics & Field Theory & Cosmology

  15. Higgs spectrum in the two-bidoublets model 2HDM neutral: 3(l)+7(h); charged: 1(l)+3(h); doubly-charged: 1(l)+1(h) CPS 2008 Particle Physics & Field Theory & Cosmology

  16. e.g. Take 1 TeV 1 1 GeV 1 10 TeV 0.1 GeV 0.1 10 TeV 0.01 GeV Mass spectrum in the two bi-doublets L-R model 10TeV 2HDM 5TeV 3TeV 200GeV 80GeV CPS 2008 Particle Physics & Field Theory & Cosmology

  17. Numerical results Zhou and Wu, arXiv:0709.0042 M_W' coulld be 600 GeV M_H^+ ~ 150-300 GeV M_h^0 ~ 200 GeV Global U(1) family symmetry Contribution to Kaon mass difference in two bi-doublets model with M_W' fixed at 600 GeV. CPS 2008 Particle Physics & Field Theory & Cosmology

  18. Conclusion & Remarks • The minimal L-R model suffer serious inconsistence. Saving the model needs generalized higgs sector and fermion Yukawa sector. • We preserve SCPV in the two-bidoublets model, which resembles 2HDM in the FCNC part. • The model has no difficulty in realizing SCPV and can solve the VEV see-saw problem by new U(1) symmetry. • We emphersize the importance of the hierarchy v_L<<k_2,w_2<<k_1,w_1<<v_R. • The model reduces to 2HDM in the decoupling limit, with 3 neutral light higgs and 1 pair of light charged higgs bosons. CPS 2008 Particle Physics & Field Theory & Cosmology

  19. Thank you !

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