francesco sannino - indico€¦ · september 2011 francesco sannino light technicolor higgs...
TRANSCRIPT
September 2011
Francesco Sannino
Light Technicolor Higgs
CP3-DESY-Goettingen School 11-14 October 2011Higgs centre april 2013
Friday, April 26, 13
Fermi Scale
Friday, April 26, 13
M2H = 2� v2
Fermi Scale
Friday, April 26, 13
Natural SM mass spectrum
Friday, April 26, 13
Natural SM mass spectrum
MW = gv
2⇡ g 123 GeV
Friday, April 26, 13
Natural SM mass spectrum
MW = gv
2⇡ g 123 GeV
Friday, April 26, 13
Natural SM mass spectrum
mf = �fvp2⇡ �f 174 GeV
MW = gv
2⇡ g 123 GeV
Friday, April 26, 13
Natural SM mass spectrum
mf = �fvp2⇡ �f 174 GeV
MW = gv
2⇡ g 123 GeV
Top has the right energy scale!
Friday, April 26, 13
Natural SM mass spectrum
mf = �fvp2⇡ �f 174 GeV
MW = gv
2⇡ g 123 GeV
Top has the right energy scale!
or zero
Friday, April 26, 13
Natural SM mass spectrum
mf = �fvp2⇡ �f 174 GeV
MW = gv
2⇡ g 123 GeV
Top has the right energy scale!
Light quarks and leptons are also natural!
or zero
Friday, April 26, 13
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
Friday, April 26, 13
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
Friday, April 26, 13
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]
Friday, April 26, 13
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
Friday, April 26, 13
Technicolor
Friday, April 26, 13
From SM to TC
Friday, April 26, 13
From SM to TC
Friday, April 26, 13
From SM to TC
Friday, April 26, 13
From SM to TC
TC
Friday, April 26, 13
From SM to TC
TC LExtended TC
Friday, April 26, 13
From SM to TC
TC LExtended TC
Friday, April 26, 13
Technicolor vs Composite Higgs
Friday, April 26, 13
Technicolor vs Composite Higgs
๏ Technicolor:
Friday, April 26, 13
Technicolor vs Composite Higgs
๏ Technicolor:
Composite Higgs theory with a 4D underlying theory
Friday, April 26, 13
Technicolor vs Composite Higgs
๏ Technicolor:
Composite Higgs theory with a 4D underlying theory
๏ Composite Higgs:
Friday, April 26, 13
Technicolor vs Composite Higgs
๏ Technicolor:
Composite Higgs theory with a 4D underlying theory
๏ Composite Higgs:
Higgs is a pGB. Need to generate mass and keep it small
Friday, April 26, 13
Technicolor vs Composite Higgs
๏ Technicolor:
Composite Higgs theory with a 4D underlying theory
๏ Composite Higgs:
Higgs is a pGB. Need to generate mass and keep it small
If 4D underlying exists probably similar to Technicolor ?
Friday, April 26, 13
In-effective Lagrangians
Friday, April 26, 13
In-effective Lagrangians
Simply writing an effective Lagrangian for GBs does NOT imply that the underlying dynamics is natural!
Friday, April 26, 13
In-effective Lagrangians
Simply writing an effective Lagrangian for GBs does NOT imply that the underlying dynamics is natural!
Example:
Friday, April 26, 13
In-effective Lagrangians
Simply writing an effective Lagrangian for GBs does NOT imply that the underlying dynamics is natural!
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!
Friday, April 26, 13
Need to go beyond QCD
๏ TC-fermion condensate enhancement/FCNC decoupling
๏ Minimal TC passing precision tests
๏ Need a TC Higgs
๏ Dark matter candidates
Friday, April 26, 13
Need to go beyond QCD
๏ TC-fermion condensate enhancement/FCNC decoupling
๏ Minimal TC passing precision tests
๏ Need a TC Higgs
๏ Dark matter candidates
Friday, April 26, 13
TC Higgs
TC - Higgs is the lightest spin-0 scalar made of TC-fermions
Friday, April 26, 13
TC Higgs
TC - Higgs is the lightest spin-0 scalar made of TC-fermions
H ⇠ c1Q̄Q+ c2Q̄QQ̄Q+ · · ·
Friday, April 26, 13
TC Higgs
TC - Higgs is the lightest spin-0 scalar made of TC-fermions
Will contain also a TC-glue component
H ⇠ c1Q̄Q+ c2Q̄QQ̄Q+ · · ·
Friday, April 26, 13
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 TC-glue component
H ⇠ c1Q̄Q+ c2Q̄QQ̄Q+ · · ·
Friday, April 26, 13
Narrow state in Strong Dynamics?
Example f0(980)
� = 40� 100 MeV m = 990± 20 MeV
Friday, April 26, 13
Narrow state in Strong Dynamics?
Example f0(980)
Narrow because near/below 2 kaon threshold
� = 40� 100 MeV m = 990± 20 MeV
m2k ' 987.4 MeV
Friday, April 26, 13
Narrow state in Strong Dynamics?
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
Friday, April 26, 13
Higgs Effective Theory
Friday, April 26, 13
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)
Friday, April 26, 13
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
Friday, April 26, 13
EW - corrections
Friday, April 26, 13
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
Friday, April 26, 13
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
Friday, April 26, 13
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⇧)
Friday, April 26, 13
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, 1211.1083
Friday, April 26, 13
How light is the TC-Higgs ?
(MTCH )2 ' M2
H + 12 2r2tm2t
~ TC x ETC
F⇧ = v
rt
Friday, April 26, 13
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
~ TC x ETC
Not that light!
F⇧ = v
rt
Friday, April 26, 13
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
~ TC x ETC
Not that light!
F⇧ = v
rt
Friday, April 26, 13
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
~ 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
Friday, April 26, 13
How to make a TC Higgs ?
Change # of TC-colors, matter repr., EW doublets
Sannino 08Sannino & Schechter 07Foadi, Frandsen, Sannino 12
Friday, April 26, 13
How to make a TC Higgs ?
Change # of TC-colors, matter repr., EW doublets
By geometric scaling QCD f0(500) to EW we have
Sannino 08Sannino & Schechter 07Foadi, Frandsen, Sannino 12
Friday, April 26, 13
How to make a TC Higgs ?
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
Sannino 08Sannino & Schechter 07Foadi, Frandsen, Sannino 12
Friday, April 26, 13
How to make a TC Higgs ?
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
Friday, April 26, 13
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
Friday, April 26, 13
SU(3)S MWT: A Realistic theory
Sannino & Tuominen hep-ph/0405209
ND = 1 d(Symmetric) = 6
MTCH ' 735 GeV
Friday, April 26, 13
SU(3)S MWT: A Realistic theory
Sannino & Tuominen hep-ph/0405209
ND = 1 d(Symmetric) = 6
MTCH ' 735 GeV
rt ' 1.2Physical Higgs mass for
Friday, April 26, 13
SU(3)S MWT: A Realistic theory
Sannino & Tuominen hep-ph/0405209
ND = 1 d(Symmetric) = 6
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!
Friday, April 26, 13
Minimal WTC Models[Original 2004 Name: Light Composite Higgs]
Friday, April 26, 13
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)
Friday, April 26, 13
SU(2) & SU(3) MWTC[Original 2004 Name: Light Composite Higgs]
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)
Friday, April 26, 13
SU(2) & SU(3) MWTC[Original 2004 Name: Light Composite Higgs]
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๏ Can feature Light TC/Dilaton Higgs
SU(2) or SU(3)
SU(2)
Friday, April 26, 13
SU(2) & SU(3) MWTC[Original 2004 Name: Light Composite Higgs]
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๏ Can feature Light TC/Dilaton Higgs
๏ Smallest S-parameter & FCNC
SU(2) or SU(3)
SU(2)
Friday, April 26, 13
SU(2) & SU(3) MWTC[Original 2004 Name: Light Composite Higgs]
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๏ Can feature Light TC/Dilaton Higgs
๏ 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
Friday, April 26, 13
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
Friday, April 26, 13
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
Friday, April 26, 13
Conclusions
๏ Discovered the TC Higgs?
๏ 125 Higgs via a not too light TC Higgs!
๏ Minimal TC & LHC signatures
Lots of fun ahead !
Friday, April 26, 13
Ask if interested!
๏ a-theorem Conformal Window
๏ Jumping dynamics
๏ Dark matter on the lattice
๏ Composite inflation
๏ X compositeness
Friday, April 26, 13
White Paper
๏ Strong Dynamics for BSM
๏ Technicolor Higgs
๏ Minimal Walking Theories
๏ Composite Dark Matter
๏ Composite ...
Friday, April 26, 13