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

September 2011

Francesco Sannino

Technicolor after the Higgs Discovery

CP3-DESY-Goettingen School 11-14 October 2011 SCGT12 @ Nagoya 2012

Thursday, December 6, 12

Atoms 4% Dark Matter 22% Dark Energy 74%

? ?

Now

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 ?

6σ

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?

Old TC was dead 2 decades ago!

• 0.2

0.0 0.2 0.4

• 0.1

0.0 0.1 0.2 0.3 0.4 0.5 S T

SU(3) + 1 Fund. Doublet

Weinberg, Susskind

1 TeV

TC alone = massless SM fermions Extend TC to generate fermion masses [Eichten & Lane] MH = FT C Fπ Mσ ' 1.5 TeV

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

  

UV IR

   



IR Conformal behavior

Holdom, Appelquist, Miranski, Yamawaki, Wijewardhana...

Thursday, December 6, 12

Gauge Group: SU, SO, SP, Exceptional Matter Representation # of Flavors per Representation

Knobs

  

   



 

Nf

QCD IR Conformal Infrared free

?

Thursday, December 6, 12

α

Energy

Interesting structure at large Nf

A novel phase @ large Nf

  

   



Nf

QCD IR Conformal

• Asymp. Safe

First coefficients at large Nf are known

Pica & Sannino 10

αUV = 3π TF Nf

Ciuchini, Derkachov, Gracey, Manashov ‘99

Thursday, December 6, 12

Universal Picture

Thursday, December 6, 12

SU(N)

2 3 4 5 6 7 8 2 4 6 8 10 12 14 16 18 N nf

Fund A-Sym Sym Adj

Ryttov & Sannino 07 Dietrich & Sannino 07 Sannino & Tuominen 04

  

   



Ryttov & Shrock 10

 

Very interesitng

Poppitz & Unsal 9, 10 Pica & Sannino 10

SU(N) Phase Diagram

Thursday, December 6, 12

SU(N)

2 3 4 5 6 7 8 2 4 6 8 10 12 14 16 18 N nf

Fund A-Sym Sym Adj

Lattice SU(N) Diagram

Thursday, December 6, 12

5 6 7 8 2 4 6 8 10 12 N nf

SO(N)

2 3 4 5 6 7 8 2 4 6 8 10 12 14 16 18 20 22 n nf

SOH2n+2L

All Orders g*=1 Four Loops g*=1 Ladder 2 3 4 5 6 7 8 2 4 6 8 10 12 14 16 18 n nf

SOH2n+1L

All Orders g*=1 Four Loops g*=1 Ladder

G2 F4 E6 E7 E8 ê Ad 2 4 6 8 10 12 nf

All Orders g*=1 Four Loops g*=1 Ladder

E x c e p t i

• n

a l

Sannino 09 Pica & Sannino 10 Mojaza, Pica, Ryttov Sannino 12 Mojaza, Pica, Ryttov Sannino 12 Mojaza, Pica, Ryttov Sannino 12

Thursday, December 6, 12

Walk or Jump ?

Thursday, December 6, 12

Walking

• 120
• 100
• 80
• 60
• 40
• 20

0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 ln m aHmL

d=-1ê8 d=-0.01 d=-0.002 d=-0.001 d=0.0005

0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

• 0.3
• 0.2
• 0.1

0.0 0.1 a bMY

d=0.1 d=0 d=-0.1 d=-0.2

βMY = −α2 (α − 1)2 − δ

• Miransky 85

Miransky & Yamawaki 89 Miransky & Yamawaki 97 Yamawaki, Bando, Matumoto 86 Appelquist, Karabali, Wijewardhana 86

δ = nf − nc

f

Sannino 2012

Thursday, December 6, 12

Condensate Enhancement

h ¯ QQiµ = exp Z α(µ)

α(Λ)

dα γ(α) α2((α 1)2 + |δ|) ! h ¯ QQiΛ ' exp γ(1) Z α(µ)

α(Λ)

dα 1 βMY ! h ¯ QQiΛ = ⇣ µ Λ ⌘γ(1) h ¯ QQiΛ

Thursday, December 6, 12

• 10
• 8
• 6
• 4
• 2

0.0 0.2 0.4 0.6 0.8 1.0 1.2 ln m aHmL

d=0.1 d=0.05 d=0 d=-0.2 d=-0.1 d=-0.05

0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

• 3
• 2
• 1

1 a bJump

d=0 d=-0.05 d=-0.2

0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

• 4
• 3
• 2
• 1

1 2 a bJump

d=0 d=0.05 d=0.2

Jumping

βJump = −α2 1 − δ − α 1 − α

Sannino 2012

δ = nf − nc

f

h ¯ QQiµ ' γ(1) ln ⇣ µ Λ ⌘ h ¯ QQiΛ

Thursday, December 6, 12

Walking or Jumping?

0.80 0.85 0.90 0.95 1.00 1.05 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 n f n f

c

L@n fD

LJump LMY

ΛMY = µ0 nc

f − nf

exp " − π 2pnc

f − nf

#

ΛJump = Λc ⇥ 1 − (nc

f − nf) ln

• nc

f − nf

⇤

Thursday, December 6, 12

SU(N)

2 3 4 5 6 7 8 2 4 6 8 10 12 14 16 18 N nf

Fund A-Sym Sym Adj

SU(N) Phase Diagram

W a l k i n g r e g i

• n

?

Thursday, December 6, 12

Calculable 4D Walking Example

Antipin, Mojaza, Sannino 1107.2932 Grinstein, Uttayarat 1105.2370 Antipin, Di Chiara, Mojaza, Mølgaard, Sannino 1205.6157

Thursday, December 6, 12

Walking 4D Gauge theory

Tr  −1 2F µνFµν + i¯ λ / Dλ + Qi / DQ + ∂µH†∂µH + yHQHQ

• −u1(Tr[H†H])2 − u2Tr(H†H)2 .

Fields [SU(Nc)] SU(Nf)L SU(Nf)R U(1)V U(1)AF λ Adj 1 1 1 q ⇤ ⇤ 1

Nf −Nc Nc

− Nc

Nf

e q ⇤ 1 ⇤ − Nf −Nc

Nc

− Nc

Nf

H 1 ⇤ ⇤

2Nc Nf

Gµ Adj 1 1

Antipin, Mojaza, Sannino 2011

Thursday, December 6, 12

α β

Conformal Window and Walking

Antipin, Di Chiara, Mojaza, Mølgaard, Sannino 2012

12% of the CW is Walking

4.42 4.4167 4.4133 x = 4.41 0.00 0.01 0.02 0.03 0.04 0.05 0.06

• 3.0
• 2.5
• 2.0
• 1.5
• 1.0
• 0.5

0.0 ag 105âbag

4 6 8 10 12 14 16 18 4.35 4.40 4.45 4.50 Nc Nf Nc

Thursday, December 6, 12

A Minimal TC template

Thursday, December 6, 12

Since 2004 - Minimal WTC is Higgsfull

[Original Name: Light Composite Higgs]

Sannino, Tuominen 04 Hong, Hsu, Sannino 04 Dietrich, Sannino, Tuominen 05

Being analyzed by ATLAS & CMS

Extra Electron

N

Extra Neutrino

U

t-up

D

t-down

G

t-glue

SU(2)

Higgs

ζ

SU(3) SU(2) U(1)

Higgs

๏

Can feature Light TC/Dilaton Higgs

๏

Smallest S-parameter & FCNC

๏

Dark matter candidates

Thursday, December 6, 12

TC Higgs

TC - Higgs is the lightest spin-0 scalar made of TC-fermions QCD lightest scalar is f0(500) with mass ~ 400-550 MeV

Sannino & Schechter 95 PRD [‘t Hooft 1/N, crossing, chiral, pole mass] Harada, Sannino & Schechter 95 PRD [f0(980)], 96PRL Pelaez - Confinement X - lecture

Will contain also a techniglue component

H ∼ c1 ¯ QQ + c2 ¯ QQ ¯ QQ + · · ·

Thursday, December 6, 12

Higgs Effective Theory

L = LSM + ✓ 1 + 2rπ v H + sπ v2 H2 ◆ v2 4 Tr DµU †DµU + 1 2 ∂µH ∂µH − mt ⇣ 1 + rt v H ⌘ " qL U 1 2 + T 3 ! qR + h.c. # − mb ⇣ 1 + rb v H ⌘ " qL U 1 2 − T 3 ! qR + h.c. # + · · · − ∆S W a

µνBµν Tr T aUT 3U † + O

✓ 1 Mρ ◆

q ≡ (t, b) v ' 246 GeV

U = exp ⇣ iπaT a/v ⌘

DµU ≡ ∂µU − igW a

µT aU + ig0UBµT 3

Thursday, December 6, 12

EW - corrections

t W Z

LH ⊃ 2 m2

W rπ

v H W +

µ W −µ + m2 Z rπ

v H Zµ Zµ − mt rt v H ¯ t t + m2

W sπ

v2 H2 W +

µ W −µ + m2 Z sπ

2 v2 H2 Zµ Zµ

M 2

H = (M TC H )2 + 3(4πκFΠ)2

16π2v2  −4r2

t m2 t + 2sπ

✓ m2

W + m2 Z

2 ◆ + ∆M 2

H(4πκFΠ)

Foadi, Frandsen, Sannino, 12

Thursday, December 6, 12

How light is the TC-Higgs ?

(M TC

H )2 ' M 2 H + 12 κ2r2 t m2 t

0.0 0.5 1.0 1.5 2.0 200 400 600 800 1000 1200 k rt MH

TCHGeVL

k rt ~ TC x ETC

Not too light!

FΠ = v

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 f0(500) to EW we have

d(2 − indexT C) = NT C NT C ± 1 2

Physical Higgs mass via gauge geometry

M T C

H

' 1.8 1 p NDd(RT C) TeV

Sannino 08 Sannino & Schechter 07 Foadi, Frandsen, Sannino 12

Thursday, December 6, 12

Higgs - like H TC Axial - Vector States

R1,2

Minimal TC states to discover

TC pions TC composite fermions Elementary Leptons Unexpected ...... Beyond minimal: (E)TC model dependent

Π Ψ L U

Thursday, December 6, 12

LHC Search Strategy

๏ Indirect hint of heavy states

• Modified Higgs couplings wrt SM
• Study Higgs in association with W/Z

๏ Direct discovery of heavy states

• Drell-Yan production of TC-rho/axial
• (exotic) pions
• composite fermions
• 4th heavy lepton family

Thursday, December 6, 12

Γ(H → γγ) ∼ @rt − 7rW + 3 4 X

QTC

d(RTC)e2

TC

1 A

2

LH ⊃ 2 m2

W rW

v H W +

µ W −µ − mt rt

v H ¯ t t

pp → H ∼ r2

t

Sensitive TC-fermion content H to γγ can help discriminate different models and to the H-tt coupling rt (Extended TC)

Higgs to γγ

Thursday, December 6, 12

Potential discovery of composite dynamics at the LHC

Belyaev, Foadi, Frandsen, Jarvinen & Sannino 08

Composite spin-1 mesons like QCD ρ & a1

Associate production

) (GeV)

• l

+

l b M(b 400 500 600 700 800 900 1000 1100 /dM (fb/10 GeV) σ d

• 4

10

• 3

10

• 2

10

• 1

10 1

=5, S=0.3 g ~ =700 GeV,

A

M =125 GeV

h

sm, m =702 GeV

R1

M =1055 GeV

R2

M > 25GeV

2,b

> 45GeV, p

1,b

| < 4.5, p

b

|y > 20GeV

l

| < 2.5, p

l

|y ) < 135 GeV b )>0.7, 110 GeV < M(b, b R(b, Δ = 8TeV s pp @ )

• l

+

l → Z, (Z b b → pp

pp → HZ± → ¯ bb + 2`

Preliminary MWTC - theoretical updated analysis by T. Hapola

Thursday, December 6, 12

Conclusions

๏ Discovered the TC Higgs? ๏ New phase diagrams ๏ Walking & jumping ๏ 125 Higgs via a heavy TC Higgs! ๏ Minimal TC & LHC signatures ๏ New era for strong dynamics

Lots of fun ahead !

Thursday, December 6, 12