Muon g-2 vs LHC (and ILC) in Supersymmetric Models

Congratulations!!! 2012. July 4 2013. October 8 R. Brout (1928-2011)

0.3 0.2 0.1-1.0-0.5 0.5 1.0-0.1-0.2

= 1 2 p 2 G F ' (174 GeV) 2 0.3 0.2 0.1-1.0-0.5 0.5 1.0-0.1-0.2

= 1 2 p 2 G F ' (174 GeV) 2 ' (126 GeV) 2 0.3 0.2 0.1-1.0-0.5 0.5 1.0-0.1-0.2

0.3 0.2 0.1-1.0-0.5 0.5 1.0-0.1-0.2

Higgs

(1) small neutrino masses L = L SM + 1 2 N R(i/@ + M R )N R + y N R`LH + h.c. Higgs R.H.neutrino (2) matter unification in 16 of SO(10) (3) Leptogenesis

Higgs Right-handed Neutrino mass Higgs (1) small neutrino masses L = L SM + 1 2 N R(i/@ + M R )N R + y N R`LH + h.c. Higgs R.H.neutrino (2) matter unification in 16 of SO(10) (3) Leptogenesis

U e ( d )L ( U)R d - - ( )R ( )L (3,2)+1/6 (3,1)-2/3 (3,1)+1/3 (1,2)-1/2 νe ( e )R (1,1)+1 N (1,1)+1 (1,1) ( e R) d L U R e R νe L d R N1 U 16 (1) small neutrino masses L = L SM + 1 ( ) 2 N R(i/@ + M R )N R + y N R`LH + h.c. ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) Higgs R.H.neutrino (2) matter unification in 16 of SO(10) (3) Leptogenesis

(1) small neutrino masses L = L SM + 1 2 N R(i/@ + M R )N R + y N R`LH + h.c. N e h ē N Higgs R.H.neutrino h (2) matter unification in 16 of SO(10) (3) Leptogenesis

(1) small neutrino masses L = L SM + 1 2 N R(i/@ + M R )N R + y N R`LH + h.c. Higgs R.H.neutrino (2) matter unification in 16 of SO(10) (3) Leptogenesis

Higgs

Supersymmetry naturalness fine-tuning problem (fine tuning like 1.0000000000000001-1) little no fine-tuning 1 2 m2 Higgs ' µ 2 + m 2(tree) H u + m 2(loop) H u ( little fine tuning 1.01-1 or 1.001-1 or...) coupling unification DM (= LSP: neutralino or gravitino)

SUSY after Higgs discovery 1. 126 GeV Higgs + naturalness 2. 126 GeV Higgs + Coupling Unification 3. 126 GeV Higgs + Dark Matter

g 2 cos 2 2 8 cos 2 W ' 0.069 cos 2 2

g 2 cos 2 2 8 cos 2 W ' 0.069 cos 2 2 for large tan. ( ' A t /m stop )

m 2 ' µ 2 + m 2(tree) H u + m 2(loop) up to O H u 1 tan 2 g 2 cos 2 2 8 cos 2 W ' 0.069 cos 2 2 for large tan. ( ' A t /m stop )

m 2 ' µ 2 + m 2(tree) H u + m 2(loop) up to O H u 1 tan 2 g 2 cos 2 2 8 cos 2 W ' 0.069 cos 2 2 µ ' 1 TeV m 2 ' (1000 GeV) 2 (1004 GeV) 2 for large tan. ( ' A t /m stop )

m 2 ' µ 2 + m 2(tree) H u + m 2(loop) H u g 2 cos 2 2 8 cos 2 W ' 0.069 cos 2 2 m 2(loop) H u 3y2 t 8 2 m 2 + m ft 2 + A L ft t 2 Mmess log + R m e t for large tan. ( ' A t /m stop )

Many many related works recently... (too many to list all...) Ibe,Yanagida 11, Ibe,Matsumoto,Yanagida 12, Bhattacherjee,Feldstein,Ibe,Matsumoto,Yanagida 12, Hall,Nomura 11, Hall,Nomura,Shirai 12, Giudice,Strumia 11, Arvanitaki,Craig,Dimopoulos,Villadoro 12 Arkani-Hamed,Gupta,Kaplan,Weiner,Zorawski 12, Ibanez,Valenzuela 13, Jeong,Shimosuka,Yamaguchi 11, Hisano,Ishiwata,Nagata 12, Sato,Shirai,Tobioka 12, Moroi,Nagai 13, McKeen,Pospelov,Ritz 13, Hisano,Kuwahara,Nagata 13, Hisano,Kobayashi,Kuwahara,Nagata 13, etc etc...

SUSY after Higgs discovery 1. 126 GeV Higgs + naturalness 2. 126 GeV Higgs + Coupling Unification 3. 126 GeV Higgs + Dark Matter

126 GeV Higgs + Dark Matter 126 GeV Higgs + coupling unification

126 GeV Higgs + Dark Matter 126 GeV Higgs + coupling unification No problem!

126 GeV Higgs + Dark Matter 126 GeV Higgs + coupling unification No problem! CMSSM

126 GeV Higgs + Dark Matter 126 GeV Higgs + coupling unification No problem! CMSSM Benchmark model points shown in 1305.2914, Cohen Wacker Stau coannihilation neutralino DM Higgs fine-tuning

126 GeV Higgs + Dark Matter 126 GeV Higgs + coupling unification No problem! CMSSM OK SUSY OK

> 3σ deviation!

> 3σ deviation! [Hagiwara, Liao, Martin, Nomura, Teubner, arxiv: 1105.3149. See also references therein!]

> 3σ deviation!

µ = M 2 =2M 1 tan = 40 m R m L

µ = M 2 =2M 1 tan = 40 m R m L m 2 > m ` > m 1

m ` > m 2 > m 1 2! 1 + W/Z/h

ẽ + ẽ 0 e + e

> 3σ deviation!