Koichi Yamawaki KMI, Nagoya University @2014 Busan Particle Physics Workshop Dec. 4-6, 2014.
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Transcript of Koichi Yamawaki KMI, Nagoya University @2014 Busan Particle Physics Workshop Dec. 4-6, 2014.
![Page 1: Koichi Yamawaki KMI, Nagoya University @2014 Busan Particle Physics Workshop Dec. 4-6, 2014.](https://reader037.fdocuments.us/reader037/viewer/2022110404/56649eba5503460f94bc2216/html5/thumbnails/1.jpg)
Walking Technicolor on the LHC and the Lattice
Koichi Yamawaki KMI, Nagoya University @2014 Busan Particle Physics Workshop Dec. 4-6, 2014
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Discovery of 125 GeV Higgs
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Standard Model is incompleteNo Dark matter candidatesBaryogenesis: KM CP violation not
enough, No 1st order phase transition Strong CP Problem: neutron EDM…Naturalness Problem BSM on
TeV Origin of Mass
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TC was killed 3 times
FCNC
S,T,U parameters
125 GeV Higgs
Walking TC
Walking TCscale inv.
(Holographic)Walking TC[and/or ETC effects]
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Technicolor = Higgsless Model(No light scalar)
Walking Technicolor KY-Bando-Matumoto (1986)
= Composite Higgs Model
Techni-dilaton
Approx. Scale Symmetry
125 GeV Composite Higgs
S. Weinberg (1976)L. Susskind (1979)
Folklore:
“Conformal Higgs”
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%\cite{Yamawaki:1985zg}\bibitem{Yamawaki:1985zg} K.~Yamawaki, M.~Bando and K.~-i.~Matumoto, %``Scale Invariant Technicolor Model and a Technidilaton,'' Phys.\ Rev.\ Lett.\ {\bf 56}, 1335 (1986). %%CITATION = PRLTA,56,1335;%%
INSPIRE
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125 GeV Techni-dilaton(TD) at LHC S.Matsuzaki and K. Y. , PLB719 (2013) 378
TD (in 1FM) is favored by the current data !!
* diphoton rate enhaced by techni-fermions (> W loop contribution)
* goodness-of-fit performed for each search category
PRD86 (2012) 115004
As of July 2012
Consistent with the updated after ICHEP 2014 (to be discussed later)
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CONTENTSTechnicolor: QCD-Scale-up (3 times R.I.P.)Walking Technicolor and Techni-dilatonDiscovering Walking Technicolor at LHC Techni-dilaton consistent with 125 GeV Higgs Technipions above TeV’s Technirhos above TeV’sDiscovering Walking Technicolor on the Lattice LatKMI Collaboration discovered light flavor-singlet scalar for Nf=8 and Nf=12 QCD
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X 2600
Technicolor: a Scale-Up of QCDS. Weinberg (1976)L. Susskind (1979)
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FCNC
qR,lR
qL,lL
FL
FR
X
FL
qL,lL
qR,lR
FR
FCNC Problems:
Mass of Quarks/Leptons
ETC
Needs 103 enhancement
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By Large Anomalous Dimension Holdom (1981)
Pure Assumption ofExistence of Large No Concrete DynamicsNo Concrete Value
If
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Walking Technicolor
Scale Invariance
Ladder Schwinger-Dyson Equation
K.Y., Bando, Matumoto (Dec. 24, 1985)
Techni-dilaton
Appelquist, Karabali, Wijewardhana (June 2, 1986)
Akiba, Yanagida (Jan. 3, 1986)
( Holdom (Oct. 12, 1984), pure numerical )
Similar FCNC Sol. Without , Scale Invariance, Techni-dilaton:
FCNC Sol.
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Ladder as an ideal limit of IRFP ( Large Nf QCD)
Ladder coupling
two-loop coupling (Nf=12,Nc=3)
IRFP
Two-loop beta function (scheme-independent)
“Veneziano limit”
IRFP :
Almost continuous
Caswell(1974)Banks, Zaks(1982)
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UVFP
IRFP
Scale sym
IRFP UVFP
IRFP
SSB
(ladder SD)
Nonperturbative beta fn.
Appelquist,Terning,Wijewardhana (1996)
Miransky (1985)
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KY - M. Bando - K. Matumoto, PRL 56 (1986) 1335
UVFP(Nonperturbative)
IRFP(2-loop)
ladder
Relevant to Walking TC
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A schematic view of Walking TC
QCD-likeQCD-like
“walking”
(ETC~10^3TeV)
nonperturbative trace anomalydue to
Pseudo NG Boson: Techni-dilaton
Composite Higgs from technifermions having EW charges
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Spontaneous breaking of Electroweak & Scale symmetries due to Vacuum
Small Explicit breaking of Scale symmetry (Nonperturbative Trace Anomaly)
SSB scale
TechnidilatonNG boson
Technipion NG boson
PCDC
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PCDC estimate of TD Mass &Decay const. (Ladder)
Bando-Matumoto-KY, PLB178 (1986) 308Hashimoto-KY, PRD83 (2011) 015008Kurachi-Matsuzaki-KY, PRD90 (2014) 095013; in preparation
3 independent calculations are consistent !!
Nonpertubative Beta fn.
Miransky-Gusynin (1989)
Pagels-Stokar
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0
Light TD !
One-family model
Lightness = Weak Coupling
Consistent with LHC Higgs data !!
Veneziano limit = Walking
Benchmark
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* Deformation of successful AdS/QCD model (Bottom-up approach)Da Rold and Pomarol (2005); Erlich, Katz, Son and Stephanov (2005)
UV IR
z5d SU(NTF)L x SU(NTF)R
Holographic estimate w/ techni-gluonic effects
* Ladder approximation : gluonic dynamics is neglected
incorporates nonperturbative gluonic effects
0
QCD
WTC
Haba-Matsuzaki-KY, PRD82 (2010) 055007Matsuzaki- K.Y., PRD86 (2012) 115004
Hong-Yee(2006), Piai(2006)
In addition to
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* QCD-fit w/
fπ = 92.4 MeVMρ = 775 MeV <αGμυ^2>/π = 0.012 GeV^4
input
fix ξ = 3.1 G = 0.25 zm^-1 = 347 MeV
model parameters
Model predictions
Ma1 [a1 meson] : 1.3 GeVMf0(1370) [qqbar bound state] : 1.2 GeVMG [glueball ] : 1.3 GeV S = - 16 π L10 [S parameter] : 0.31 [- <qbar q>]^(1/3) [chiral condensate] : 277 MeV
measured
1.2 --- 1.3 GeV 1.1 --- 1.2 GeV 1.4 --- 1.7 GeV (lat.) 0.29 --- 0.37 200 --- 250 MeV
Monitoring QCD works well!
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*WTC-case with
Massless NGB limit (“conformal limit”) is realized:
free from holographic-parameters !!
125 GeV TD is realized by a large gluonic effect : G 〜 10 for one-family model w/ Fπ = 123 GeV (c.f. QCD case, G ~ 0.25 )
--- TD mass (lowest pole of dilatation current correlator)
--- TD decay constant (pole residue)
Cf. ladder approximation
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* TD decay constant for the light TD case w/ G ~ 10:
Estimate of -- Holographic approach
holographic-parameter free !!
Theoretical Uncertainties: 1/NTC corr. (20% ~ 30% )
This is consistent with ladder estimate:
ladder
Weaker than SMH
Matsuzaki- K.Y., PRD86 (2012) 115004
Indep. of S (S<0.1 tunable)
0.2
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: Scale-invariant (Classical)
Trace anomaly (Quantum)
Origin of Mass (WTC)
Non-perturbative Trace Anomaly (Near Conformal SSB)
``Scale Symmetry’’
Dim. transmutation
Dim. transmutation
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Discovering the Walking Technicolor on the LHC
1. 125 GeV Higgs as a Technidilaton at LHC Run I Testing Technidilaton at Run II (Precise measurements)
2. Searching Technipions at LHC Run II
3. Searching Techirho at LHC Run II
Benchmark model: One family model
(Discovery)
(Discovery)
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i) The scale anomaly-free part:
ii) The expl. br. due to SM (invariant by including spurion field “S”):
reflecting ETC-induced TF 4-fermi w/ (3-γm)
iii) The WTC scale anomaly part:
which correctly reproduces the PCDC relation:
βF: TF-loop contribution to SM beta function
eff. TD Lagrangian
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* TD couplings to W/Z boson (from L_inv)
* TD couplings to γγ and gg (from L_S)
βF: TF-loop contribution to beta function
TD couplings to the SM particles
The same form as SM Higgs couplings except FΦ and betas
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Characteristic features of 125 GeV TD in one-family model (w/ NTC=3,4,5) at LHC
W,Z
W*,Z*b,τ
b,τ
g
γ
g
γ
φ
φ
φ
φ
F, t
F, tgφ
gφ= (vEW/FΦ) gH=(0.1--0.3) gH
gφ
gφ
di-weak bosons
quark, lepton pairs
digluon
diphoton >> W -loops
suppressed
suppressed
enhanced
enhanced
v.s. SM Higgs
QCD-colored TF contributions
EM-charged TF contributions
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< 1
101/5 -1/4
<1
NTC=4
2 – 2.5
Technifermion loop contributions to
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The signal strength fit to the LHC-Run I full data
*
---------------------------------------------------------------- NTC [vEW/FΦ ]best χ^2 min /d.o.f. ---------------------------------------------------------------- 3 0.28 37/17 = 2.2 --------------------------------------------------------------- 4 0.24 19/17 = 1.1 ---------------------------------------------------------------- 5 0.17 33/17 = 1.9 ----------------------------------------------------------------
SM Higgs
NTC=4
NTC=3 NTC=5
One-parameter fit (Fφ)
Compared w/ SM Higgs χ^2/d.o.f = 17/18 = 1.0
Current LHC has favored TD at almost the same level as SM Higgs!
Updated from S.Matsuzaki -KY PLB719(2013)
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The TD signal strengths (μ = σ x BR/SM Higgs) vs. the current data (i)
(i) ggF+ttH category
* one-family model w/ NTC=4, vEW/Fφ = 0.24
ATLAS CMS TD signal strength
* Data as of ICHEP2014
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The TD signal strengths (μ = σ x BR/SM Higgs) vs the current data (ii)
(ii) VBF +VH category
* Consistent within about 1 sigma error * VBF: ~ 30% contamination from ggF, compensating direct VBF coupling suppression: gg Φ + gg highly enhanced compared to SM Higgs case! * Smaller VBF+VH signal (particularly, bb-channel), compared to the SM Higgs
ATLAS CMSTD signal strength
* Data as of ICHEP2014
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Technipions in One-family WTC
Chiral symmetry breaking: SU(8)L x SU(8)R SU(8)V 3 “would-be” NGBs: eaten by W, Z 60 (pseudo) NGB = techni-pions (TPs)
J.Jia, S.Matsuzaki, K.Y., PRD87, 016006 (2012) M. Kurachi, S. Matsuzaki, K.Y.PRD90, 095013 (2014)
: color-octet scalars (# 32)
: color-triplet scalars (“leptoquark”) (#24)
: color-singlet scalars (# 4)
Expected masses : (big enhancement !)1 ~ 5 TeV
Explicit breakings:
All massive
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Techni-pions: Couplings to WW and ZZ highly suppressed (NO NGB^3 vertex)
narrow resonances (tot.width ~ 10--50GeV)
* produced ONLY from ggF : VBF, VH, * Predominantly decaying to SM fermions
Discovering isospin singlet TPs: and
J.Junji, S.Matsuzaki, K.Y., PRD87.016006. (2012) M. Kurachi,S. Matsuzaki,K.Y.PRD90, 095013 (2014)
Current LHC limits color-octet (θa) < 1.5—1.6 TeV color-triplet (Tc) < 1.0 – 1.1 TeV color-singlet (P) < 800 GeV
S=(0.1, 0.3, 1.0)
Heavy TP
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* Walking techni-rho (#63)
: color-octet vectors (# 32)
: color-triplet vectors (# 24)
: color-singlet vectors (# 4)
: color-singlet vectors (# 3) [corresponding to vector states for eaten NGBs]
Expected masses : 1 ~ 4 TeVconsistent w/ EW precision tests
S.Matsuzaki and K.Y., PRD86,115004 (2012)
• Typical discovery channels: decays to WLWL (ZLZL)or TP and WL
• Novel discovery channel: decays to g, W(Z,γ) and TD!
q
q
W,Z,γ ρ WL, ZL
WL,ZL
W,Z,γ ρ
WL, ZL
TP
q
q g,W,Z,γ ρ
g,W,Z,γ
φ (TD)
LHC constraints
+ ω
No
(TP)
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M. Kurachi, S.Matsuzaki and K.Y., PRD90,055028 (2014)
Scale-inv. HLS ChPTPararel to QCD rhoas HLS gauge bosonexcept scale-inv.
Bando-Kugo-Uehara-KY-Yanagida(1985)Bando-Kugo-KY (1988)
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Slide from K.Terashi’s talk at SCGT14Mini, March 2014M.Kurachi, S.M., K.Terashi & K.Yamawaki, in progress
Preliminary
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Walking Dynamics beyond Ladder/Holography ?
More Precise Quantitative Predictions?
Theoretical Issues
Lattice !
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Discovering Walking Technicoloron the Lattice
KMI Lattice Project(LatKMI Collaboration)
Finding a candidate for WTC on the Lattice
Finding a light scalar composite on the Lattice
Calculating the composite spectra on the Lattice
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Y. Aoki T. Aoyama
M. Kurachi T. Maskawa K. Nagai K. Yamawaki
T. Yamazaki H. Ohki
E. Rinaldi
A. Shibata
Lawrence Livermore National Laboratory
Ed Bennett
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(would-be IRFP)
16.5
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Nf=12 : Conformal
Nf=8: Walking
Light flavor-singlet scalar (& scalar glueball)
in Nf=12 Light flavor-singlet scalar in Nf=8
Walking candidate & Light Scalar
LatKMI Collaboration, Phys. Rev. D86, 054506 (2012)consistent with many other groups
LatKMI Collaboration, Phys. Rev. Lett. 111 (2013) 162001confirmed by other groups (1401.2176; 1411.3243)
LatKMI Collaboration,Phys. Rev. D 87, 094511 (2013) +updateconfirmed by other groups (1405.4752; 1410.5886)
LatKMI Collaboration, PoS LATTICE2013,070(arXiv:1309.0711), Phys. Rev. D 89 (2014) 111502(R) + update (in preparation)
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Nf=12, β =4.0
Noise reduction methodwith Nr=64
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LatKMI Collaboration, PRL 111 (2013) 162001
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LatKMI Collaboration, PRL 111 (2013) 162001 + up-dated (Preliminary)
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Up to lattice IR, UV scales:
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PRD 87, 094511 (2013) + update
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LatKMI Coll, PRD 86, 054506 (2012)
LatKMI Coll, PRD 87, 094511 (2013)
LatKMI Coll, PRD 87, 094511 (2013)
Similarly for
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SχSB ``Conformal’’
HISQ
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Chiral broken Conformal
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Phys. Rev. D 89 (2014) 111502(R)LatKMI Collaboration
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Effective scalar mass m from correlators with the projection for L = 36 and mf = 0.015.
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Chiral broken Conformal
Phys. Rev. D 89 (2014) 111502(R)LatKMI Collaboration
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Chiral Extrapolation Matsuzaki-Yamawaki, PRL 113 (2014) 082002
Dilaton ChPT
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Lattice observables
W-T identity
Matsuzaki-Yamawaki, PRL 113 (2014) 082002
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Chiral broken Conformal
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Other Spectrum (Preliminary)
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Technihadrons to be discovered
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Conclusion A light composite Higgs can be generated in the Walking
Technicolor (Strongly coupled theory) as a Pseudo-NG boson of Scale Symmetry (Techni-dilaton), which is Weakly coupled to the SM particles.
Techni-dilaton is consistently identified with the 125 GeV Higgs Predicts new resonances (technipions, technirhos) in TeV region Lattice results of LatKMI Collaboration are consistent with Nf=12 QCD: conformal behavior Nf=8 QCD : walking behavior; chiral broken (mf=0.015-0.03), (approx.) conformal (mf =0.05-0.16) Lattice results of LatKMI Collaboration observed Nf=12: clean signal of a scalar lighter than pion Nf=8: clean signal of a scalar comparable to pion Both reflecting (near) conformality for a wide IR region below the asymptotically free UV region Hope to give the lattice answer to the theoretical issues for 13/14 TeV LHC 2015-
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``Origin of Mass and Strong Coupling Gauge Theories’’ (SCGT15)
March 3 (Tuesday) - March 6 (Friday), 2015 Sakata-Hirata Hall, Nagoya University, Nagoya, Japan
Sakata Memorial KMI Workshop on
[email protected]://www.kmi.nagoya-u.ac.jp/workshop/SCGT15/
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Backup Slides
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Weakly Coupled Light Scalar Composite from Strongly Coupled Dynamics?
Cf: N. Seiberg, Aspen 2013
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Naïve Arguments (base on LINEAR sigma model)
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WTC: Scale-Inv. (Veneziano limit)
Gasser-Leutwyler (1984)ChPT analyses
+ O(p^4)
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Weakly Coupled Light Scalar Composite from Strongly Coupled Dynamics?
Yes !
Cf: N. Seiberg, Aspen 2013
Lightness
Weakness
LHC confirmed
Coupling to SM sector
Scale inv.
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SM sector TC sector (Strongly coupled)Weak !
Even needs enhancement !
-----------
Not a linear sigma model !
Even weaker than SM Higgs !!
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(Improved) Ladder SD & BS Equations
Straightforward Calculation
SD + IBS
SD + BS
S parameter
Light Spectra (P,S,V,A)
Up to flavor siglet/non-siglet scalar splitting
Harada-Kurachi-KY, PRD 68, 076001 (2003) PTP 115, (2006) 765
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Light Spectra (SD+HBS)Harada-Kurachi-KY (2003)
Nf=11.92 Nf=11.42
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Light Spectra (SD+HBS)Harada-Kurachi-KY, PRD68, 076001 (2003)
Kurachi-Shrock (2006)
S
A
V
induced/ETC four-fermimixing with glueball, multi-body bound statesKM-’t Hooft determinant
Non-singlet scalar
Singlet scalar
Kurachi-Matsuzaki-KY (in preparation)
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generating functional
sources = UV boundary values for bulk scalar, vector, axial-vector fields
* AdS/CFT recipe:
classical solutions
Current collerators are calculated as a function of three IR –boundary values and :
: IR value of bulk scalar
: IR value of bulk scalar
: IR-brane position
dual
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* IR boundary values:
chiral condensate
gluon condensate
* UV boundary values = sources
AdS/CFT dictionary:
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The model parameters:
Φ IRvalue
Φx IRvalue
IR braneposition
5d coupling
Φ UVvalue
Φx UVvalue
coeff. of M
coeff. of Φx
set explicit breaking sources = 0
ΠV Leading log term
ΠV G^2 term
matching to current correlators
ΠS Leading log term
Fix Fπ = 246 GeV/√ND = 123 GeV (1FM) MΦ = 125 GeV S = 0.1
3 phenomenological input values
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Other holographic predictions (1FM w/ S=0.1)
Techni-ρ , a1 masses : Mρ = Ma1 = 3.5 TeV Techni-glueball (TG) mass : MG = 19 TeV TG decay constant : FG = 135 TeV dynamical TF mass mF : mF = 1.0 TeV
NTC = 3
Techni-ρ , a1 masses : Mρ = Ma1 = 3.6 TeV Techni-glueball (TG) mass : MG = 18 TeV TG decay constant : FG = 156 TeV dynamical TF mass mF : mF = 0.95 TeV
NTC = 4
Techni-ρ , a1 masses : Mρ = Ma1 = 3.9 TeV Techni-glueball (TG) mass : MG = 18 TeV TG decay constant : FG = 174 TeV dynamical TF mass mF : mF = 0.85 TeV
NTC = 5
S.Matsuzaki and K.Y., 1209.2017
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S parameter
Other pheno. issues in TC scenarios
: # EW doublets Cf: S(exp) < 0.1 around T =0
One resolution: ETC-induced “delocalization” operator
too large!
ETC
vector channel
in low-energy
w/
modifies SM f-couplings to W, Zcontributes to S “negatively”
Chivukula-Simmons-He-Kurachi- Tanabashi (2005)
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Top quark mass generation
ETC
too small!
One resolution: Strong ETC Miransky-K.Y. (1989), Matumoto(1989), Appelquist-Einhorn-Takeuchi-Wijewardhana (1989)
ETC scale associated w/ top mass
--- makes induced 4-fermi (tt UU) coupling large enough to trigger chiral symm. breaking (almost by NJL dynamics)
boost-up
T parameter(Strong) ETC generates large isospin breaking highly model-dependent issue
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Nf=12 Taste Symmetry ( HISQ )LatKMI Collaboration, PRD86 (2012)054506
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Scalar Glueball vs Flavor-singlet Scalar
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O(p^4) corrections (chiral log)