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

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, 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

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

Light pseudoscalar η in Simplest Little Higgs model (SLHm)

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)

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

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

Kinetic Lagrangian 2010 LHC Physics Workshop at Korea, Jubin Park

Mu term 2010 LHC Physics Workshop at Korea, Jubin Park

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

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

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

Supersymmetry models 2010 LHC Physics Workshop at Korea, Jubin Park

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

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 LHC Physics Workshop at Korea, Jubin Park

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

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

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

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

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

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

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

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 LHC Physics Workshop at Korea, Jubin Park