September 2011

Francesco Sannino

Technicolor after the Higgs Discovery

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

Thursday, December 6, 12

Atoms4%

Dark Matter22%

Dark Energy74%

??

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 HiggsExpectation

Thursday, December 6, 12

Fundamental ?

๏ Would be the first time

๏ Spinors are space-time constituents

๏ Scalars are derived

๏ Susy? Can be emergentIn <4d: Sung-Sik Lee 064d: 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 =FTC

F⇡M� ' 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

UVIR

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

NfQCD IR Conformal Infrared free

?

Thursday, December 6, 12

α

Energy

Interesting structure at large Nf

A novel phase @ large Nf

NfQCD IR Conformal Asymp. Safe

First coefficients at large Nf are knownPica & Sannino 10

�UV =3⇥

TFNf

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

n f

Fund

A-Sym

Sym

Adj

Ryttov & Sannino 07Dietrich & Sannino 07Sannino & 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

n f

Fund

A-Sym

Sym

Adj

Lattice SU(N) Diagram

Thursday, December 6, 12

5 6 7 8

2

4

6

8

10

12

N

n f

SO(N)

2 3 4 5 6 7 8

246810121416182022

n

n f

SOH2n+2L

2 3 4 5 6 7 8

2

4

6

8

10

12

14

16

18

n

n f

SOH2n+1L

All Orders g*=1

Four Loops g*=1

Ladder

All Orders g*=1

Four Loops g*=1

Ladder

Thursday, May 24, 12

2 3 4 5 6 7 8

246810121416182022

n

n f

SOH2n+2L

2 3 4 5 6 7 8

2

4

6

8

10

12

14

16

18

n

n f

SOH2n+1L

All Orders g*=1

Four Loops g*=1

Ladder

All Orders g*=1

Four Loops g*=1

Ladder

Thursday, May 24, 12

G2 F4 E6 E7 E8 ê Ad2

4

6

8

10

12nf

All Orders g*=1

Four Loops g*=1

Ladder

Thursday, May 24, 12

Exceptional

Sannino 09Pica & 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 00.0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

ln m

aHmL

d=-1ê8d=-0.01d=-0.002d=-0.001d=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

b MY

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

�MY = �↵2�(↵� 1)2 � �

�

Miransky 85Miransky & Yamawaki 89Miransky & Yamawaki 97Yamawaki, Bando, Matumoto 86Appelquist, Karabali, Wijewardhana 86

� = nf � ncf

Sannino 2012

Thursday, December 6, 12

Condensate Enhancement

h ¯QQiµ = exp

Z ↵(µ)

↵(⇤)d↵

�(↵)

�↵2((↵� 1)

2+ |�|)

!h ¯QQi⇤

' exp

�(1)

Z ↵(µ)

↵(⇤)d↵

1

�MY

!h ¯QQi⇤ =

⇣µ⇤

⌘�(1)h ¯QQi⇤

Thursday, December 6, 12

-10 -8 -6 -4 -2 00.0

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

0

1

a

b Jump

d=0d=-0.05d=-0.2

0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

-4

-3

-2

-1

0

1

2

a

b Jump

d=0d=0.05d=0.2

Jumping

�Jump = �↵2 1� � � ↵

1� ↵

Sannino 2012

� = nf � ncf

hQ̄Qiµ ' �(1) ln⇣µ

⇤

⌘h Q̄Qi⇤

Thursday, December 6, 12

Walking or Jumping?

0.80 0.85 0.90 0.95 1.00 1.050.0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

n fn fc

L@n fD

LJump

LMY

⇤MY =

µ0

ncf � nf

exp

"� ⇡

2

pncf � nf

#

⇤Jump = ⇤c

⇥1� (nc

f � nf ) ln�ncf � nf

�⇤

Thursday, December 6, 12

SU(N)

2 3 4 5 6 7 8

2

4

6

8

10

12

14

16

18

N

n f

Fund

A-Sym

Sym

Adj

SU(N) Phase Diagram

Walking region?

Thursday, December 6, 12

Calculable 4D Walking Example

Antipin, Mojaza, Sannino 1107.2932Grinstein, Uttayarat 1105.2370

Antipin, Di Chiara, Mojaza, Mølgaard, Sannino 1205.6157

Thursday, December 6, 12

Walking 4D Gauge theory

Tr

�1

2Fµ⌫Fµ⌫ + i�̄ /D�+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

� Adj 1 1 0 1

q ⇤ ⇤ 1 Nf�Nc

Nc�Nc

Nf

eq ⇤ 1 ⇤ �Nf�Nc

Nc�Nc

Nf

H 1 ⇤ ⇤ 0 2NcNf

Gµ Adj 1 1 0 0

Antipin, Mojaza, Sannino 2011Thursday, December 6, 12

↵

�

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

105 âb a

g

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

Being analyzed by ATLAS & CMS

Extra Electron

NExtraNeutrino

Ut-up

Dt-down

Gt-glue

SU(2)

Higgs

⇣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 MeVSannino & 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 ⇠ c1Q̄Q+ c2Q̄QQ̄Q+ · · ·

Thursday, December 6, 12

Higgs Effective Theory

L = LSM +

✓1 +

2r⇡v

H +s⇡v2

H2

◆v2

4Tr DµU

†DµU +1

2@µH @µH

� mt

⇣1 +

rtvH⌘"

qL U

1

2+ T 3

!qR + h.c.

#

� mb

⇣1 +

rbvH⌘"

qL U

1

2� T 3

!qR + h.c.

#+ · · ·

� �S W aµ⌫B

µ⌫ Tr T aUT 3U † +O✓

1

M⇢

◆q ⌘ (t, b)

v ' 246 GeVU = exp

⇣i⇡aT a/v

⌘

DµU ⌘ @µU � igW aµT

aU + ig0UBµT3

Thursday, December 6, 12

EW - corrections

t

W Z

LH � 2 m2W r⇡v

H W+µ W�µ +

m2Z r⇡v

H Zµ Zµ � mt rtv

H t̄ t

+m2

W s⇡v2

H2 W+µ W�µ +

m2Z s⇡2 v2

H2 Zµ Zµ

M2H = (MTC

H )2 +3(4⇡F⇧)2

16⇡2v2

�4r2tm

2t + 2s⇡

✓m2

W +m2

Z

2

◆�+�M2

H(4⇡F⇧)

Foadi, Frandsen, Sannino, 12

Thursday, December 6, 12

How light is the TC-Higgs ?

(MTCH )2 ' M2

H + 12 2r2tm2t

0.0 0.5 1.0 1.5 2.0

200

400

600

800

1000

1200

k rt

MHTCHGe

VL

k rt ~ TC x ETC

Not too light!

F⇧ = 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� indexTC) = NTCNTC ± 1

2

Physical Higgs mass via gauge geometry

MTCH ' 1.8

1pNDd(RTC)

TeV

Sannino 08Sannino & Schechter 07Foadi, 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

⇧

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

�(H ! ��) ⇠

0

@rt � 7rW +3

4

X

QTC

d(RTC)e2TC

1

A2

LH � 2 m2W rWv

H W+µ W�µ � mt rt

vH t̄ t

pp ! H ⇠ r2t

Sensitive TC-fermion content

H to !! 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 08Composite spin-1 mesons like QCD " & a1

Associate production

) (GeV)-l+lbM(b400 500 600 700 800 900 1000 1100

/dM

(fb

/10

GeV

)σd

-410

-310

-210

-110

1

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

=125 GeVhsm, m

=702 GeVR1M

=1055 GeVR2M

> 25GeV2,b

> 45GeV, p1,b

| < 4.5, pb

|y

> 20GeVl

| < 2.5, pl

|y

) < 135 GeVb)>0.7, 110 GeV < M(b,bR(b,Δ

= 8TeVspp @

)-l+ l→Z, (Z b b→pp

pp ! HZ± ! b̄b+ 2`

Preliminary MWTC - theoretical updated analysis by T. HapolaThursday, 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 dynamicsLots of fun ahead !

Thursday, December 6, 12