Francesco Sannino€¦ · September 2011 Francesco Sannino Technicolor after the Higgs Discovery...

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


Future pie ?

๏ New weak & strong forces

๏ Composite Higgs/SM

๏ Composite dark matter

๏ Composite inflation

๏ ....


The scent of the Higgs


2 bumps


Higgs discovery ?

6σ

SM HiggsExpectation


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


http://arxiv.org/find/hep-th/1/au:+Lee_S/0/1/0/all/0/1

http://arxiv.org/find/hep-th/1/au:+Lee_S/0/1/0/all/0/1

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


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


Technicolor


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


Need to go beyond QCD

๏ TC-fermion condensate enhancement/FCNC decoupling

๏ Minimal Technicolor passing precision tests

๏ Need a Technicolor Higgs

๏ Dark matter candidates


Walking

UVIR

IR Conformal behavior

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


Gauge Group: SU, SO, SP, Exceptional

Matter Representation

# of Flavors per Representation

Knobs

NfQCD IR Conformal Infrared free

?


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


Universal Picture


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


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


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


G2 F4 E6 E7 E8 ê Ad2

4

6

8

10

12nf

All Orders g*=1

Four Loops g*=1

Ladder


Exceptional

Sannino 09Pica & Sannino 10

Mojaza, Pica, Ryttov Sannino 12




Walk or Jump ?


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


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⇤


-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⇤


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

�⇤


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?


Calculable 4D Walking Example

Antipin, Mojaza, Sannino 1107.2932Grinstein, Uttayarat 1105.2370

Antipin, Di Chiara, Mojaza, Mølgaard, Sannino 1205.6157


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


A Minimal TC template


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


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+ · · ·


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


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


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


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


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


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


�(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


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 !


Francesco Sannino€¦ · September 2011 Francesco Sannino Technicolor after the Higgs Discovery...

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Transcript of Francesco Sannino€¦ · September 2011 Francesco Sannino Technicolor after the Higgs Discovery...