Technicolor after the Higgs Discovery Francesco Sannino SCGT12 @ - PowerPoint PPT Presentation

Technicolor after the Higgs Discovery Francesco Sannino SCGT12 @ Nagoya 2012 September 2011 CP3-DESY-Goettingen School 11-14 October 2011 Thursday, December 6, 12

Now Atoms 4% Dark Energy Dark Matter 74% 22% ? ? Thursday, December 6, 12

Future pie ? ๏ New weak & strong forces ๏ Composite Higgs/SM ๏ Composite dark matter ๏ Composite inflation ๏ .... Thursday, December 6, 12

The scent of the Higgs Thursday, December 6, 12

2 bumps Thursday, December 6, 12

Higgs discovery ? 6 σ SM Higgs Expectation Thursday, December 6, 12

Fundamental ? ๏ Would be the first time ๏ Spinors are space-time constituents ๏ Scalars are derived ๏ Susy? Can be emergent In <4d: Sung-Sik Lee 06 4d: Antipin, Mojaza, Pica, Sannino 10 Thursday, December 6, 12

Compositeness ๏ Only Higgs sector is composite [Technicolor] ๏ Standard Model Fermions are composite [Preons] ๏ Partial compositeness: Bosonic/SUSY Technicolor ... ๏ X compositeness [Magnetic Standard Model] Sannino 11 Thursday, December 6, 12

What LHC has not seen, yet! ๏ Extra large, small or medium dimensions [kk states,..] ๏ Any sign of supersymmetry [gluino,...] ๏ Extra, mini, large Black-Holes [low scale gravity] In line with: Composite dynamics Thursday, December 6, 12

Technicolor Thursday, December 6, 12

Is “Old” Technicolor dead? 0.5 SU(3) + 1 Fund. Doublet 0.4 Weinberg, Susskind 0.3 1 TeV M H = F T C 0.2 T M σ ' 1 . 5 TeV F π 0.1 0.0 - 0.1 - 0.2 0.0 0.2 0.4 S TC alone = massless SM fermions Extend TC to generate fermion masses [Eichten & Lane] Old TC was dead 2 decades ago! Thursday, December 6, 12

Need to go beyond QCD ๏ TC-fermion condensate enhancement/FCNC decoupling ๏ Minimal Technicolor passing precision tests ๏ Need a Technicolor Higgs ๏ Dark matter candidates Thursday, December 6, 12

Walking   IR Conformal behavior   UV IR      Holdom, Appelquist, Miranski, Yamawaki, Wijewardhana... Thursday, December 6, 12

Knobs Gauge Group: SU, SO, SP, Exceptional Matter Representation # of Flavors per Representation QCD IR Conformal Infrared free N f ?            Thursday, December 6, 12

A novel phase @ large Nf Interesting structure at large Nf Pica & Sannino 10 First coefficients at large Nf are known Ciuchini, Derkachov, Gracey, Manashov ‘99 QCD IR Conformal Asymp. Safe N f α     Energy      3 π α UV = T F N f Thursday, December 6, 12

Universal Picture Thursday, December 6, 12

SU(N) Phase Diagram  18 Very interesitng SU(N) 16 Fund Pica & Sannino 10  Ryttov & Shrock 10 14  Poppitz & Unsal 9, 10 12   Ryttov & Sannino 07 Dietrich & Sannino 07 10 Sannino & Tuominen 04    n f  8 A-Sym 6 4 Sym   2 Adj 2 3 4 5 6 7 8 N Thursday, December 6, 12

Lattice SU(N) Diagram 18 SU(N) 16 Fund 14 12 10 n f 8 A-Sym 6 4 Sym 2 Adj 2 3 4 5 6 7 8 N Thursday, December 6, 12

SO H 2n + 2 L 12 22 SO(N) Mojaza, Pica, Ryttov Sannino 12 20 Ladder 10 18 Sannino 09 16 8 Four Loops g * = 1 Pica & Sannino 10 14 6 n f 12 All Orders g * = 1 n f SO H 2n + 1 L 10 18 4 Mojaza, Pica, Ryttov Sannino 12 8 Ladder 16 6 2 14 4 Four Loops g * = 1 n f 12 2 5 6 7 8 12 Ladder N 10 2 3 4 5 6 7 8 All Orders g * = 1 10 n f Four Loops g * = 1 n 8 8 6 All Orders g * = 1 6 4 Mojaza, Pica, Ryttov Sannino 12 4 l a n 2 o i t p e c x 2 E 2 3 4 5 6 7 8 G 2 F 4 E 6 E 7 E 8 ê Ad n Thursday, December 6, 12

Walk or Jump ? Thursday, December 6, 12

Walking 0.1 0.0 - 0.1 β MY = − α 2 � ( α − 1) 2 − δ � b MY d=- 0.2 - 0.2 d=- 0.1 δ = n f − n c d= 0 f - 0.3 d= 0.1 Sannino 2012 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 a 1.4 1.2 Miransky 85 1.0 Miransky & Yamawaki 89 0.8 a H m L Miransky & Yamawaki 97 d= 0.0005 0.6 d=- 0.001 Yamawaki, Bando, Matumoto 86 d=- 0.002 0.4 d=- 0.01 Appelquist, Karabali, Wijewardhana 86 d=- 1 ê 8 0.2 0.0 - 120 - 100 - 80 - 60 - 40 - 20 0 ln m Thursday, December 6, 12

Condensate Enhancement Z α ( µ ) ! γ ( α ) h ¯ h ¯ QQ i µ = exp d α QQ i Λ � α 2 (( α � 1) 2 + | δ | ) α ( Λ ) ⇣ µ ! Z α ( µ ) 1 ⌘ γ (1) h ¯ h ¯ ' exp γ (1) d α QQ i Λ = QQ i Λ β MY Λ α ( Λ ) Thursday, December 6, 12

Jumping d=- 0.2 d= 0.2 2 d=- 0.05 d= 0.05 1 d= 0 d= 0 1 0 0 b Jump b Jump - 1 - 1 - 2 - 2 - 3 - 4 - 3 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 a a 1.2 d=- 0.05 β Jump = − α 2 1 − δ − α d=- 0.1 1.0 d=- 0.2 1 − α d= 0 0.8 δ = n f − n c d= 0.05 a H m L f 0.6 d= 0.1 ⇣ µ 0.4 ⌘ h ¯ h ¯ QQ i µ ' γ (1) ln QQ i Λ Λ 0.2 0.0 - 10 - 8 - 6 - 4 - 2 0 Sannino 2012 ln m Thursday, December 6, 12

Walking or Jumping? 1.4 L MY L Jump 1.2 1.0 1 − ( n c n c ⇥ � �⇤ Λ Jump = Λ c f − n f ) ln f − n f L @ n f D 0.8 0.6 0.4 " # µ 0 π Λ MY = exp 0.2 − n c 2 p n c f − n f f − n f 0.0 0.80 0.85 0.90 0.95 1.00 1.05 n f c n f Thursday, December 6, 12

SU(N) Phase Diagram 18 SU(N) 16 Fund 14 12 ? n o i g e r g n 10 i k l a W n f 8 A-Sym 6 4 Sym 2 Adj 2 3 4 5 6 7 8 N Thursday, December 6, 12

Calculable 4D Walking Example Antipin, Di Chiara, Mojaza, Mølgaard, Sannino 1205.6157 Grinstein, Uttayarat 1105.2370 Antipin, Mojaza, Sannino 1107.2932 Thursday, December 6, 12

Walking 4D Gauge theory  � − 1 2 F µ ν F µ ν + i ¯ DQ + ∂ µ H † ∂ µ H + y H QHQ λ / D λ + Qi / Tr − u 1 ( Tr [ H † H ]) 2 − u 2 Tr ( H † H ) 2 . Fields [ SU ( N c )] SU ( N f ) L SU ( N f ) R U (1) V U (1) AF Adj 1 1 0 1 λ N f − N c − N c 1 q ⇤ ⇤ N c N f − N f − N c − N c 1 e q ⇤ ⇤ N c N f 2 N c 1 0 H ⇤ ⇤ N f Adj 1 1 0 0 G µ Antipin, Mojaza, Sannino 2011 Thursday, December 6, 12

Conformal Window and Walking 4.50 β 4.45 α N f N c 0.0 4.40 4.42 - 0.5 - 1.0 4.4167 10 5 âb a g - 1.5 4.4133 12% of the CW is Walking - 2.0 4.35 x = 4.41 - 2.5 - 3.0 0.00 0.01 0.02 0.03 0.04 0.05 0.06 a g 4 6 8 10 12 14 16 18 N c Antipin, Di Chiara, Mojaza, Mølgaard, Sannino 2012 Thursday, December 6, 12

A Minimal TC template Thursday, December 6, 12

Since 2004 - Minimal WTC is Higgsfull [Original Name: Light Composite Higgs] U G t-up U(1) Higgs t-glue D N SU(2) t-down Extra SU(2) Neutrino ζ ๏ Extra Can feature Light TC/Dilaton Higgs SU(3) Electron Higgs ๏ Smallest S-parameter & FCNC Sannino, Tuominen 04 ๏ Dark matter candidates Hong, Hsu, Sannino 04 Dietrich, Sannino, Tuominen 05 Being analyzed by ATLAS & CMS Thursday, December 6, 12

TC Higgs TC - Higgs is the lightest spin-0 scalar made of TC-fermions H ∼ c 1 ¯ QQ + c 2 ¯ QQ ¯ QQ + · · · Will contain also a techniglue component QCD lightest scalar is f 0 (500) with mass ~ 400-550 MeV Sannino & Schechter 95 PRD [‘t Hooft 1/N, crossing, chiral, pole mass] Harada, Sannino & Schechter 95 PRD [f 0 (980)], 96PRL Pelaez - Confinement X - lecture Thursday, December 6, 12

Higgs Effective Theory ◆ v 2 ✓ 1 + 2 r π v H + s π 4 Tr D µ U † D µ U + 1 v 2 H 2 2 ∂ µ H ∂ µ H L = L SM + ⌘ " ! # 1 + r t 1 ⇣ 2 + T 3 m t v H q L U q R + h . c . − ⌘ " ! # 1 + r b 1 ⇣ 2 − T 3 m b v H q L U q R + h . c . + · · · − ✓ 1 ◆ µ ν B µ ν Tr T a UT 3 U † + O ∆ S W a q ≡ ( t, b ) − M ρ ⇣ ⌘ v ' 246 GeV U = exp i π a T a /v µ T a U + ig 0 UB µ T 3 D µ U ≡ ∂ µ U − igW a Thursday, December 6, 12

EW - corrections 2 m 2 µ W − µ + m 2 W r π Z r π H Z µ Z µ − m t r t H W + H ¯ L H t t ⊃ v v v m 2 µ W − µ + m 2 W s π Z s π H 2 W + H 2 Z µ Z µ + v 2 2 v 2 W Z t H ) 2 + 3(4 πκ F Π ) 2 W + m 2  ✓ ◆� M 2 H = ( M TC − 4 r 2 t m 2 m 2 Z t + 2 s π + ∆ M 2 H (4 πκ F Π ) 16 π 2 v 2 2 Foadi, Frandsen, Sannino, 12 Thursday, December 6, 12

How light is the TC-Higgs ? k r t ~ TC x ETC ( M TC H ) 2 ' M 2 H + 12 κ 2 r 2 t m 2 t F Π = v 1200 1000 800 TC H GeV L 600 M H 400 200 0.0 0.5 1.0 1.5 2.0 k r t Not too light! Thursday, December 6, 12

Geometric not too light TC Higgs Modify underlying gauge geometric structure Change # of TC-colors, matter repr., EW doublets By geometric scaling QCD f 0 (500) to EW we have 1 M T C ' 1 . 8 TeV H p N D d ( R T C ) N T C ± 1 d (2 − index T C ) = N T C 2 Sannino 08 Physical Higgs mass via gauge geometry Sannino & Schechter 07 Foadi, Frandsen, Sannino 12 Thursday, December 6, 12

Minimal TC states to discover Higgs - like H R 1 , 2 TC Axial - Vector States Beyond minimal: (E)TC model dependent TC pions Π TC composite fermions Ψ Elementary Leptons L Unexpected ...... U Thursday, December 6, 12