1. Light pseudoscalar η and a in Simplest Little Higgs model (SLHm) and Next-to-Minimal SuperSymmetric Model (NMSSM) 2010. 8. 11 Jubin Park LHC Physics Workshop at Korea, 10-12, August 2010 Konkuk University, Seoul

2. 2010 LHC Physics Workshop at Korea, Jubin Park Collaboration with Kang Young Lee, C.S.KIM The work is in progress now. This talk is mainly based on K. Cheung, J. Song - PRD76,035007 K. Cheung, J. Song, P. Tseng and Q. Yan - PRD78,2008 R. Dermisek, J. F. Gunion and B. McElart - RD76,2007 F. Domingo, U. Ellwanger, E. Fullana, C. Hugonie and M. Sanchis-Lozano - JHEP 01(2009)061

3. From Florian Domingo’s talk, Recontre de Moriond 2010 2010 LHC Physics Workshop at Korea, Jubin Park

5. Light pseudoscalar η in Simplest Little Higgs model (SLHm)

6. Gauge groups and scalar particles in SLHm UV completion ??? Sigma model cut-off Scale EW symmetry breaking scale SM massive W and Z bosons EW U(1) SU(2) ⅹ U(1) Massive Heavy gauge bosons W’ and Z’, Y,Y’ SM Higgs Global Sym. Gauge Sym. Non-linear sigma fields 2010 LHC Physics Workshop at Korea, Jubin Park 10 = 5 + (4 + 1)

7. Two non-linear sigma fields Two VEVs Ratio between two VEVs !!! Non-linear sigma fields and global symmetry breaking. 2010 LHC Physics Workshop at Korea, Jubin Park

8. Kinetic terms and gauge symmetry. g is equal to SM SU(2)w coupling. Heavy gauge bosons 2010 LHC Physics Workshop at Korea, Jubin Park

9. Kinetic Lagrangian 2010 LHC Physics Workshop at Korea, Jubin Park

11. Mu term 2010 LHC Physics Workshop at Korea, Jubin Park

12. Yukawa terms and mixing 2010 LHC Physics Workshop at Korea, Jubin Park

13. Masses for fermions including heavy quarks (T,D,S) 2010 LHC Physics Workshop at Korea, Jubin Park

14. Yukawa terms of eta particle and Yukawa couplings. 2010 LHC Physics Workshop at Korea, Jubin Park

15. Supersymmetry models 2010 LHC Physics Workshop at Korea, Jubin Park

16. About supersymmetric models (MSSM vs NMSSM) 1.In MSSM there must be two Higgs doublets (Hu,Hd) because I. the Yukawa terms which consist of only one Higgs doublet and matter field break explictly SUSY. II. By SUSY, if we introduce only one Higgs field then its superpartner causes the anomaly of given gauge group. 2.In MSSM, 2010 LHC Physics Workshop at Korea, Jubin Park

17. However, 3. From many studies and precise experiments, It is well known that the valid space of parameters are very narrow so that we need to modify or extend the MSSM. 4. Roughly speaking, Next-to-Minimal Supersymmetric Standard Model (NMSSM) appears because of mu term and axion problem. and axion problem. 2010 LHC Physics Workshop at Korea, Jubin Park

18. 5. What are new ingredients of NMSSM? 2010 LHC Physics Workshop at Korea, Jubin Park

19. Brief summary of known facts of NMSSM 2010 LHC Physics Workshop at Korea, Jubin Park

20. Yukawa terms of a particle and Yukawa couplings in NMSSM. 2010 LHC Physics Workshop at Korea, Jubin Park

21. Decay widths of eta in SLHm 2010 LHC Physics Workshop at Korea, Jubin Park η

22. Decay widths of a particle in NMSSM. For up type quarks For down type quarks 2010 LHC Physics Workshop at Korea, Jubin Park

23. Comparison of the ratios between decay widths of eta in SLHm and a in NMSSM I. X to f anti-f 2010 LHC Physics Workshop at Korea, Jubin Park

24. II. X to gamma gamma 2010 LHC Physics Workshop at Korea, Jubin Park

28. Summary 1.We calculated various decay widths of pseudo scalar particles eta and a. 2.We find there are some differences between ratios of decay widths of eta and a. 3.In the decay to two gammas we can also expect that there is a difference due to different couplings for each eta and a in triangle loop diagrams. 4.Since NMSSM has complicated correlations among parameters, we had better use NMHDECAY program package to study the ratios. 5.Now the program coding and running are in progress. 2010 LHC Physics Workshop at Korea, Jubin Park