francesco sannino - indico€¦ · september 2011 francesco sannino light technicolor higgs...

September 2011

Francesco Sannino

Light Technicolor Higgs

CP3-DESY-Goettingen School 11-14 October 2011Higgs centre april 2013

Friday, April 26, 13

Fermi Scale


M2H = 2� v2

Fermi Scale


Natural SM mass spectrum



MW = gv

2⇡ g 123 GeV



mf = �fvp2⇡ �f 174 GeV

MW = gv

2⇡ g 123 GeV




MW = gv

2⇡ g 123 GeV

Top has the right energy scale!




MW = gv

2⇡ g 123 GeV


or zero




MW = gv

2⇡ g 123 GeV


Light quarks and leptons are also natural!

or zero


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 has LHC not seen ?

๏ Extra large, small or medium dimensions [kk states,..]

๏ Any sign of supersymmetry [gluino,...]

๏ Extra, mini, large Black-Holes [low scale gravity]


What has LHC not seen ?

๏ 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


From SM to TC


From SM to TC

TC


From SM to TC

TC LExtended TC


Technicolor vs Composite Higgs



๏ Technicolor:



๏ Technicolor:

Composite Higgs theory with a 4D underlying theory



๏ Technicolor:


๏ Composite Higgs:



๏ Technicolor:



Higgs is a pGB. Need to generate mass and keep it small



๏ Technicolor:



Higgs is a pGB. Need to generate mass and keep it small

If 4D underlying exists probably similar to Technicolor ?


In-effective Lagrangians



Simply writing an effective Lagrangian for GBs does NOT imply that the underlying dynamics is natural!




Example:




Example:

The SU(2)L x SU(2)R chiral Lagrangian can describe the Goldstone interactions coming from an underlying bosonic (i.e. unnatural) theory like the SM Higgs sector!


Need to go beyond QCD

๏ TC-fermion condensate enhancement/FCNC decoupling

๏ Minimal TC passing precision tests

๏ Need a TC Higgs

๏ Dark matter candidates


TC Higgs

TC - Higgs is the lightest spin-0 scalar made of TC-fermions


TC Higgs


H ⇠ c1Q̄Q+ c2Q̄QQ̄Q+ · · ·


TC Higgs


Will contain also a TC-glue component

H ⇠ c1Q̄Q+ c2Q̄QQ̄Q+ · · ·


TC Higgs


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 TC-glue component

H ⇠ c1Q̄Q+ c2Q̄QQ̄Q+ · · ·


Narrow state in Strong Dynamics?

Example f0(980)

� = 40� 100 MeV m = 990± 20 MeV



Example f0(980)

Narrow because near/below 2 kaon threshold

� = 40� 100 MeV m = 990± 20 MeV

m2k ' 987.4 MeV



Example f0(980)

Harada, Sannino & Schechter 95 PRD [f0(980)], 96PRL [Large N apparent violation] S. Weinberg 2013

Narrow because near/below 2 kaon threshold

� = 40� 100 MeV m = 990± 20 MeV

m2k ' 987.4 MeV


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)



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


EW - corrections

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


EW - corrections

t

W Z

LH � 2 m2W r⇡v

H W+µ W�µ +

m2Z r⇡v


H t̄ t

+m2

W s⇡v2

H2 W+µ W�µ +

m2Z s⇡2 v2

H2 Zµ Zµ


EW - corrections

t

W Z

LH � 2 m2W r⇡v

H W+µ W�µ +

m2Z r⇡v


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⇧)


EW - corrections

t

W Z

LH � 2 m2W r⇡v

H W+µ W�µ +

m2Z r⇡v


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, 1211.1083


How light is the TC-Higgs ?

(MTCH )2 ' M2

H + 12 2r2tm2t

~ TC x ETC

F⇧ = v

rt



(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

~ TC x ETC

Not that light!

F⇧ = v

rt



(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

~ TC x ETC

Not that light!

F⇧ = v

rt

Narrow due to kinematics [Similar to f0(980) in QCD]Friday, April 26, 13

How to make a TC Higgs ?

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



Change # of TC-colors, matter repr., EW doublets





By geometric scaling QCD f0(500) to EW we have






d(2� indexTC) = NTCNTC ± 1

2

MTCH ' 1.8

1pNDd(RTC)

TeV






d(2� indexTC) = NTCNTC ± 1

2

Physical Higgs mass via gauge geometry

MTCH ' 1.8

1pNDd(RTC)

TeV



Minimal Walking Theories๏ SU(2) + 2 Dirac Adjoint SU(2)A - MWT

๏ SU(3) + 2 Dirac Symmetric SU(3)S - MWT

๏ SU(2) +2 Dirac Fund. + .. (U - MWT) SU(2)F - MWT

๏ SO(4) + 2 Dirac Vector SO(2)V - MWT

๏ SU(3) + 2 Dirac Fund. + Ungauged SU(3)F - pMWT

Original name: Evans and Sannino, 2005 (Also for a sketch of ETC model)

Only one ND gauged: Small S Friday, April 26, 13

next-MWT = SU(3)S MWT


SU(3)S MWT: A Realistic theory

Sannino & Tuominen hep-ph/0405209

ND = 1 d(Symmetric) = 6

MTCH ' 735 GeV





MTCH ' 735 GeV

rt ' 1.2Physical Higgs mass for





MTCH ' 735 GeV

rt ' 1.2Physical Higgs mass for

M⇢ ' 1754± 104 GeV MA1 ' 2327± 121 GeV

Lattice Mass of the TC Higgs?

Lattice: Fodor, Holland, Kuti, Nogradi, Schroeder, Wong, 1209.0391:

Beware: Uncertain GMOR relation!


Minimal WTC Models[Original 2004 Name: Light Composite Higgs]


SU(2) & SU(3) MWTC[Original 2004 Name: Light Composite Higgs]

SU(3)

SU(2)

U(1)

Higgs

SU(2) or SU(3)

SU(2)



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

Extra Electron

NExtraNeutrino

Ut-up

Dt-down

Gt-glue

SU(2)

Higgs

⇣SU(3)

SU(2)

U(1)

Higgs

SU(2) or SU(3)

SU(2)




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

SU(2) or SU(3)

SU(2)




Extra Electron

NExtraNeutrino

Ut-up

Dt-down

Gt-glue

SU(2)

Higgs

⇣SU(3)

SU(2)

U(1)


๏ Smallest S-parameter & FCNC

SU(2) or SU(3)

SU(2)




Extra Electron

NExtraNeutrino

Ut-up

Dt-down

Gt-glue

SU(2)

Higgs

⇣SU(3)

SU(2)

U(1)


๏ Smallest S-parameter & FCNC

๏ Dark matter candidatesLatticeCatterall, Sannino 0705.1664Hietanen, Rantaharju, Rummukainen, Tuominen 0812.1467Del Debbio, Lucini, Patella, Pica, Rago 1004.3206

SU(2) or SU(3)

SU(2)

Fodor, Holland, Kuti, Nogradi, Schroeder, Wong, 1209.0391Friday, April 26, 13

Higgs - like H

TC Axial - Vector States R1,2

Minimal TC states to discover


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 hints 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 (R1,R2)

• (exotic) pions

• composite fermions

• 4th heavy lepton family


Conclusions

๏ Discovered the TC Higgs?

๏ 125 Higgs via a not too light TC Higgs!

๏ Minimal TC & LHC signatures

Lots of fun ahead !


Ask if interested!

๏ a-theorem Conformal Window

๏ Jumping dynamics

๏ Dark matter on the lattice

๏ Composite inflation

๏ X compositeness


White Paper

๏ Strong Dynamics for BSM

๏ Technicolor Higgs

๏ Minimal Walking Theories

๏ Composite Dark Matter

๏ Composite ...


francesco sannino - indico€¦ · september 2011 francesco sannino light technicolor higgs...

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