Selected new results from the Spectroscopy in the sextet ... · 0 is identified as the Higgs boson...
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Selected new results from the Spectroscopy in the sextet BSM Model Chik Him (Ricky) Wong Outline Review η Spectroscopy Correlator construction Improvement using Gradient Flow Preliminary Results Conclusion Selected new results from the Spectroscopy in the sextet BSM Model Selected new results from the Spectroscopy in the sextet BSM Model Chik Him (Ricky) Wong Lattice Higgs Collaboration (LatHC): Zoltán Fodor $ , Kieran Holland * , Julius Kuti † , Santanu Mondal - , Dániel Nógrádi - , Chik Him Wong $ † University of California, San Diego * University of the Pacific $ University of Wuppertal - Eötvös University LATTICE 2016 1 / 15
Transcript of Selected new results from the Spectroscopy in the sextet ... · 0 is identified as the Higgs boson...
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Selected new results from the Spectroscopyin the sextet BSM Model
Selected new results from the Spectroscopyin the sextet BSM Model
Chik Him (Ricky) Wong
Lattice Higgs Collaboration (LatHC):Zoltán Fodor $, Kieran Holland ∗,Julius Kuti †, Santanu Mondal −,
Dániel Nógrádi −, Chik Him Wong $
† University of California, San Diego * University of the Pacific $ University of Wuppertal - Eötvös University
LATTICE 2016
1 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
OutlineOutline
Review: Sextet model as Composite Higgs candidateHadron spectroscopy in Isoscalar JPC = 0−+ (η) channel
Fermionic correlatorGluonic operatorImprovement using Gradient FlowPreliminary results
Conclusion
2 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Sextet model as Composite Higgs candidateSextet model as Composite Higgs candidateCriteria for candidate models in composite Higgs scenario:
Generates Higgs boson consistent with phenomenologyInfrared pseudo-Fixed point(IRFP) + Spontaneous χSB⇒Modelsat the edge of Conformal Window
SU(3) Nf = 2 Sextet(Two-index symmetric) Model
ψLab = ψ
Lba ≡
(uL
ab
dLab
), ψ
Rab = ψ
Rba ≡
(uR
ab dRab)
a,b = 0,1,2Why is it interesting?
Very close to Conformal Window“Minimal” model
Spontaneous Chiral Symmetry Breaking:SU(Nf )L×SU(Nf )R → SU(Nf )V
3 Nambu-Goldstone Bosons (BSM-π) out of N2f −1 are eaten in Higgs
Mechanism:SU(2)W ×U(1)Y → U(1)em
while BSM-f0 is identified as the Higgs boson HN2
f −4 massless BSM-π’s somehow gains masses from additionalinteractions, but far separated from the eaten massless 3, yet not aconcern if Nf = 2⇒ Sextet is “Minimal” realization and hence appealing
3 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Sextet model as Composite Higgs candidateSextet model as Composite Higgs candidateCriteria for candidate models in composite Higgs scenario:
Generates Higgs boson consistent with phenomenologyInfrared pseudo-Fixed point(IRFP) + Spontaneous χSB⇒Modelsat the edge of Conformal Window
SU(3) Nf = 2 Sextet(Two-index symmetric) Model
ψLab = ψ
Lba ≡
(uL
ab
dLab
), ψ
Rab = ψ
Rba ≡
(uR
ab dRab)
a,b = 0,1,2Why is it interesting?
Very close to Conformal Window“Minimal” model
Spontaneous Chiral Symmetry Breaking:SU(Nf )L×SU(Nf )R → SU(Nf )V
3 Nambu-Goldstone Bosons (BSM-π) out of N2f −1 are eaten in Higgs
Mechanism:SU(2)W ×U(1)Y → U(1)em
while BSM-f0 is identified as the Higgs boson HN2
f −4 massless BSM-π’s somehow gains masses from additionalinteractions, but far separated from the eaten massless 3, yet not aconcern if Nf = 2⇒ Sextet is “Minimal” realization and hence appealing
3 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Sextet model as Composite Higgs candidateSextet model as Composite Higgs candidateCriteria for candidate models in composite Higgs scenario:
Generates Higgs boson consistent with phenomenologyInfrared pseudo-Fixed point(IRFP) + Spontaneous χSB⇒Modelsat the edge of Conformal Window
SU(3) Nf = 2 Sextet(Two-index symmetric) Model
ψLab = ψ
Lba ≡
(uL
ab
dLab
), ψ
Rab = ψ
Rba ≡
(uR
ab dRab)
a,b = 0,1,2Why is it interesting?
Very close to Conformal Window“Minimal” model
Spontaneous Chiral Symmetry Breaking:SU(Nf )L×SU(Nf )R → SU(Nf )V
3 Nambu-Goldstone Bosons (BSM-π) out of N2f −1 are eaten in Higgs
Mechanism:SU(2)W ×U(1)Y → U(1)em
while BSM-f0 is identified as the Higgs boson HN2
f −4 massless BSM-π’s somehow gains masses from additionalinteractions, but far separated from the eaten massless 3, yet not aconcern if Nf = 2⇒ Sextet is “Minimal” realization and hence appealing
3 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Sextet model as Composite Higgs candidateSextet model as Composite Higgs candidateCriteria for candidate models in composite Higgs scenario:
Generates Higgs boson consistent with phenomenologyInfrared pseudo-Fixed point(IRFP) + Spontaneous χSB⇒Modelsat the edge of Conformal Window
SU(3) Nf = 2 Sextet(Two-index symmetric) Model
ψLab = ψ
Lba ≡
(uL
ab
dLab
), ψ
Rab = ψ
Rba ≡
(uR
ab dRab)
a,b = 0,1,2Why is it interesting?
Very close to Conformal Window“Minimal” model
Spontaneous Chiral Symmetry Breaking:SU(Nf )L×SU(Nf )R → SU(Nf )V
3 Nambu-Goldstone Bosons (BSM-π) out of N2f −1 are eaten in Higgs
Mechanism:SU(2)W ×U(1)Y → U(1)em
while BSM-f0 is identified as the Higgs boson HN2
f −4 massless BSM-π’s somehow gains masses from additionalinteractions, but far separated from the eaten massless 3, yet not aconcern if Nf = 2⇒ Sextet is “Minimal” realization and hence appealing
3 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Sextet model as Composite Higgs candidateSextet model as Composite Higgs candidateCriteria for candidate models in composite Higgs scenario:
Generates Higgs boson consistent with phenomenologyInfrared pseudo-Fixed point(IRFP) + Spontaneous χSB⇒Modelsat the edge of Conformal Window
SU(3) Nf = 2 Sextet(Two-index symmetric) Model
ψLab = ψ
Lba ≡
(uL
ab
dLab
), ψ
Rab = ψ
Rba ≡
(uR
ab dRab)
a,b = 0,1,2Why is it interesting?
Very close to Conformal Window“Minimal” model
Spontaneous Chiral Symmetry Breaking:SU(Nf )L×SU(Nf )R → SU(Nf )V
3 Nambu-Goldstone Bosons (BSM-π) out of N2f −1 are eaten in Higgs
Mechanism:SU(2)W ×U(1)Y → U(1)em
while BSM-f0 is identified as the Higgs boson HN2
f −4 massless BSM-π’s somehow gains masses from additionalinteractions, but far separated from the eaten massless 3, yet not aconcern if Nf = 2⇒ Sextet is “Minimal” realization and hence appealing
3 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Sextet model as Composite Higgs candidateSextet model as Composite Higgs candidateCriteria for candidate models in composite Higgs scenario:
Generates Higgs boson consistent with phenomenologyInfrared pseudo-Fixed point(IRFP) + Spontaneous χSB⇒Modelsat the edge of Conformal Window
SU(3) Nf = 2 Sextet(Two-index symmetric) Model
ψLab = ψ
Lba ≡
(uL
ab
dLab
), ψ
Rab = ψ
Rba ≡
(uR
ab dRab)
a,b = 0,1,2Why is it interesting?
Very close to Conformal Window“Minimal” model
Spontaneous Chiral Symmetry Breaking:SU(Nf )L×SU(Nf )R → SU(Nf )V
3 Nambu-Goldstone Bosons (BSM-π) out of N2f −1 are eaten in Higgs
Mechanism:SU(2)W ×U(1)Y → U(1)em
while BSM-f0 is identified as the Higgs boson HN2
f −4 massless BSM-π’s somehow gains masses from additionalinteractions, but far separated from the eaten massless 3, yet not aconcern if Nf = 2⇒ Sextet is “Minimal” realization and hence appealing
3 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Sextet model as Composite Higgs candidateSextet model as Composite Higgs candidateCriteria for candidate models in composite Higgs scenario:
Generates Higgs boson consistent with phenomenologyInfrared pseudo-Fixed point(IRFP) + Spontaneous χSB⇒Modelsat the edge of Conformal Window
SU(3) Nf = 2 Sextet(Two-index symmetric) Model
ψLab = ψ
Lba ≡
(uL
ab
dLab
), ψ
Rab = ψ
Rba ≡
(uR
ab dRab)
a,b = 0,1,2Why is it interesting?
Very close to Conformal Window“Minimal” model
Spontaneous Chiral Symmetry Breaking:SU(Nf )L×SU(Nf )R → SU(Nf )V
3 Nambu-Goldstone Bosons (BSM-π) out of N2f −1 are eaten in Higgs
Mechanism:SU(2)W ×U(1)Y → U(1)em
while BSM-f0 is identified as the Higgs boson HN2
f −4 massless BSM-π’s somehow gains masses from additionalinteractions, but far separated from the eaten massless 3, yet not aconcern if Nf = 2⇒ Sextet is “Minimal” realization and hence appealing
3 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Sextet model as Composite Higgs candidateSextet model as Composite Higgs candidateCriteria for candidate models in composite Higgs scenario:
Generates Higgs boson consistent with phenomenologyInfrared pseudo-Fixed point(IRFP) + Spontaneous χSB⇒Modelsat the edge of Conformal Window
SU(3) Nf = 2 Sextet(Two-index symmetric) Model
ψLab = ψ
Lba ≡
(uL
ab
dLab
), ψ
Rab = ψ
Rba ≡
(uR
ab dRab)
a,b = 0,1,2Why is it interesting?
Very close to Conformal Window“Minimal” model
Spontaneous Chiral Symmetry Breaking:SU(Nf )L×SU(Nf )R → SU(Nf )V
3 Nambu-Goldstone Bosons (BSM-π) out of N2f −1 are eaten in Higgs
Mechanism:SU(2)W ×U(1)Y → U(1)em
while BSM-f0 is identified as the Higgs boson HN2
f −4 massless BSM-π’s somehow gains masses from additionalinteractions, but far separated from the eaten massless 3, yet not aconcern if Nf = 2⇒ Sextet is “Minimal” realization and hence appealing
3 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Sextet model as Composite Higgs candidateSextet model as Composite Higgs candidateCriteria for candidate models in composite Higgs scenario:
Generates Higgs boson consistent with phenomenologyInfrared pseudo-Fixed point(IRFP) + Spontaneous χSB⇒Modelsat the edge of Conformal Window
SU(3) Nf = 2 Sextet(Two-index symmetric) Model
ψLab = ψ
Lba ≡
(uL
ab
dLab
), ψ
Rab = ψ
Rba ≡
(uR
ab dRab)
a,b = 0,1,2Why is it interesting?
Very close to Conformal Window“Minimal” model
Spontaneous Chiral Symmetry Breaking:SU(Nf )L×SU(Nf )R → SU(Nf )V
3 Nambu-Goldstone Bosons (BSM-π) out of N2f −1 are eaten in Higgs
Mechanism:SU(2)W ×U(1)Y → U(1)em
while BSM-f0 is identified as the Higgs boson HN2
f −4 massless BSM-π’s somehow gains masses from additionalinteractions, but far separated from the eaten massless 3, yet not aconcern if Nf = 2⇒ Sextet is “Minimal” realization and hence appealing
3 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Sextet model as Composite Higgs candidateSextet model as Composite Higgs candidateCriteria for candidate models in composite Higgs scenario:
Generates Higgs boson consistent with phenomenologyInfrared pseudo-Fixed point(IRFP) + Spontaneous χSB⇒Modelsat the edge of Conformal Window
SU(3) Nf = 2 Sextet(Two-index symmetric) Model
ψLab = ψ
Lba ≡
(uL
ab
dLab
), ψ
Rab = ψ
Rba ≡
(uR
ab dRab)
a,b = 0,1,2Why is it interesting?
Very close to Conformal Window“Minimal” model
Spontaneous Chiral Symmetry Breaking:SU(Nf )L×SU(Nf )R → SU(Nf )V
3 Nambu-Goldstone Bosons (BSM-π) out of N2f −1 are eaten in Higgs
Mechanism:SU(2)W ×U(1)Y → U(1)em
while BSM-f0 is identified as the Higgs boson HN2
f −4 massless BSM-π’s somehow gains masses from additionalinteractions, but far separated from the eaten massless 3, yet not aconcern if Nf = 2⇒ Sextet is “Minimal” realization and hence appealing
3 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Sextet model as Composite Higgs candidateSextet model as Composite Higgs candidateConsistent with χSB
Static Quark Potential: Confining (Fodor et al, PoS (Lattice 2012) 025)
Chiral condensate: Non-zero (Fodor et al, PoS (LATTICE 2013) 089)
β function of gR : No IRFP is observed (Fodor et al, Phys.Rev. D94 (2016) no.1, 014503 )
Hadron SpectroscopyAction: Tree-level Symanzik-Improved 2-stout ρ = 0.15 smearedgauge action with Staggered Nf = 2 Sextet SU(3) fermionsPreviously:(Fodor et al, PoS (LATTICE 2014) 244)
0 0.01 0.02 0.03 0.04 0.05
Mπ
2
0
2
4
6
8
10
12
14
M /
Fπ
a0
πf0
β=3.25
00.010.020.030.040.05
Mπ
2
0
2
4
6
8
10
12
14
M /
Fπ
0
0.5
1
1.5
2
2.5
3
M / TeV
Na
1
ρ
β=3.20
Decreasing Mπ
Decreasing Mπ
4 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Sextet model as Composite Higgs candidateSextet model as Composite Higgs candidateConsistent with χSB
Static Quark Potential: Confining (Fodor et al, PoS (Lattice 2012) 025)
Chiral condensate: Non-zero (Fodor et al, PoS (LATTICE 2013) 089)
β function of gR : No IRFP is observed (Fodor et al, Phys.Rev. D94 (2016) no.1, 014503 )
Hadron SpectroscopyAction: Tree-level Symanzik-Improved 2-stout ρ = 0.15 smearedgauge action with Staggered Nf = 2 Sextet SU(3) fermionsPreviously:(Fodor et al, PoS (LATTICE 2014) 244)
0 0.01 0.02 0.03 0.04 0.05
Mπ
2
0
2
4
6
8
10
12
14
M /
Fπ
a0
πf0
β=3.25
00.010.020.030.040.05
Mπ
2
0
2
4
6
8
10
12
14
M /
Fπ
0
0.5
1
1.5
2
2.5
3
M / TeV
Na
1
ρ
β=3.20
Decreasing Mπ
Decreasing Mπ
4 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Sextet model as Composite Higgs candidateSextet model as Composite Higgs candidateConsistent with χSB
Static Quark Potential: Confining (Fodor et al, PoS (Lattice 2012) 025)
Chiral condensate: Non-zero (Fodor et al, PoS (LATTICE 2013) 089)
β function of gR : No IRFP is observed (Fodor et al, Phys.Rev. D94 (2016) no.1, 014503 )
Hadron SpectroscopyAction: Tree-level Symanzik-Improved 2-stout ρ = 0.15 smearedgauge action with Staggered Nf = 2 Sextet SU(3) fermionsPreviously:(Fodor et al, PoS (LATTICE 2014) 244)
0 0.01 0.02 0.03 0.04 0.05
Mπ
2
0
2
4
6
8
10
12
14
M /
Fπ
a0
πf0
β=3.25
00.010.020.030.040.05
Mπ
2
0
2
4
6
8
10
12
14
M /
Fπ
0
0.5
1
1.5
2
2.5
3
M / TeV
Na
1
ρ
β=3.20
Decreasing Mπ
Decreasing Mπ
4 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Sextet model as Composite Higgs candidateSextet model as Composite Higgs candidateConsistent with χSB
Static Quark Potential: Confining (Fodor et al, PoS (Lattice 2012) 025)
Chiral condensate: Non-zero (Fodor et al, PoS (LATTICE 2013) 089)
β function of gR : No IRFP is observed (Fodor et al, Phys.Rev. D94 (2016) no.1, 014503 )
Hadron SpectroscopyAction: Tree-level Symanzik-Improved 2-stout ρ = 0.15 smearedgauge action with Staggered Nf = 2 Sextet SU(3) fermionsPreviously:(Fodor et al, PoS (LATTICE 2014) 244)
0 0.01 0.02 0.03 0.04 0.05
Mπ
2
0
2
4
6
8
10
12
14
M /
Fπ
a0
πf0
β=3.25
00.010.020.030.040.05
Mπ
2
0
2
4
6
8
10
12
14
M /
Fπ
0
0.5
1
1.5
2
2.5
3
M / TeV
Na
1
ρ
β=3.20
Decreasing Mπ
Decreasing Mπ
4 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Sextet model as Composite Higgs candidateSextet model as Composite Higgs candidateConsistent with χSB
Static Quark Potential: Confining (Fodor et al, PoS (Lattice 2012) 025)
Chiral condensate: Non-zero (Fodor et al, PoS (LATTICE 2013) 089)
β function of gR : No IRFP is observed (Fodor et al, Phys.Rev. D94 (2016) no.1, 014503 )
Hadron SpectroscopyAction: Tree-level Symanzik-Improved 2-stout ρ = 0.15 smearedgauge action with Staggered Nf = 2 Sextet SU(3) fermionsPreviously:(Fodor et al, PoS (LATTICE 2014) 244)
0 0.01 0.02 0.03 0.04 0.05
Mπ
2
0
2
4
6
8
10
12
14
M /
Fπ
a0
πf0
β=3.25
00.010.020.030.040.05
Mπ
2
0
2
4
6
8
10
12
14
M /
Fπ
0
0.5
1
1.5
2
2.5
3
M / TeV
Na
1
ρ
β=3.20
Decreasing Mπ
Decreasing Mπ
4 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Sextet model as Composite Higgs candidateSextet model as Composite Higgs candidateConsistent with χSB
Static Quark Potential: Confining (Fodor et al, PoS (Lattice 2012) 025)
Chiral condensate: Non-zero (Fodor et al, PoS (LATTICE 2013) 089)
β function of gR : No IRFP is observed (Fodor et al, Phys.Rev. D94 (2016) no.1, 014503 )
Hadron SpectroscopyAction: Tree-level Symanzik-Improved 2-stout ρ = 0.15 smearedgauge action with Staggered Nf = 2 Sextet SU(3) fermionsPreviously:(Fodor et al, PoS (LATTICE 2014) 244)
0 0.01 0.02 0.03 0.04 0.05
Mπ
2
0
2
4
6
8
10
12
14
M /
Fπ
a0
πf0
β=3.25
00.010.020.030.040.05
Mπ
2
0
2
4
6
8
10
12
14
M /
Fπ
0
0.5
1
1.5
2
2.5
3
M / TeV
Na
1
ρ
β=3.20
Decreasing Mπ
Decreasing Mπ
4 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Sextet model as Composite Higgs candidateSextet model as Composite Higgs candidateConsistent with χSB
Static Quark Potential: Confining (Fodor et al, PoS (Lattice 2012) 025)
Chiral condensate: Non-zero (Fodor et al, PoS (LATTICE 2013) 089)
β function of gR : No IRFP is observed (Fodor et al, Phys.Rev. D94 (2016) no.1, 014503 )
Hadron SpectroscopyAction: Tree-level Symanzik-Improved 2-stout ρ = 0.15 smearedgauge action with Staggered Nf = 2 Sextet SU(3) fermionsPreviously:(Fodor et al, PoS (LATTICE 2014) 244)
0 0.01 0.02 0.03 0.04 0.05
Mπ
2
0
2
4
6
8
10
12
14
M /
Fπ
a0
πf0
β=3.25
00.010.020.030.040.05
Mπ
2
0
2
4
6
8
10
12
14
M /
Fπ
0
0.5
1
1.5
2
2.5
3
M / TeV
Na
1
ρ
β=3.20
Decreasing Mπ
Decreasing Mπ
4 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Sextet model as Composite Higgs candidateSextet model as Composite Higgs candidateConsistent with χSB
Static Quark Potential: Confining (Fodor et al, PoS (Lattice 2012) 025)
Chiral condensate: Non-zero (Fodor et al, PoS (LATTICE 2013) 089)
β function of gR : No IRFP is observed (Fodor et al, Phys.Rev. D94 (2016) no.1, 014503 )
Hadron SpectroscopyAction: Tree-level Symanzik-Improved 2-stout ρ = 0.15 smearedgauge action with Staggered Nf = 2 Sextet SU(3) fermionsPreviously:(Fodor et al, PoS (LATTICE 2014) 244)
0 0.01 0.02 0.03 0.04 0.05
Mπ
2
0
2
4
6
8
10
12
14
M /
Fπ
a0
πf0
β=3.25
00.010.020.030.040.05
Mπ
2
0
2
4
6
8
10
12
14
M /
Fπ
0
0.5
1
1.5
2
2.5
3
M / TeV
Na
1
ρ
β=3.20
Decreasing Mπ
Decreasing Mπ
Light Higgs f0
LHC-reachable resonance candidates ρ , a0, a1
Baryon N: Its spectrum is crucial for predicting relic abundance in the
early Universe and dictates how to embed into SM (Fodor et al, Phys.Rev. D94 (2016) no.1, 014503)
5 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Sextet model as Composite Higgs candidateSextet model as Composite Higgs candidate
Taste breakingGoldstone spectrum depends on m with different slopes⇒ Tastebreaking pattern is different from QCD
0 0.002 0.004 0.006 0.008
m
0
0.02
0.04
0.06
0.08
M2
P
I
V
T
A
β=3.20
0 0.002 0.004 0.006 0.008
m
0
0.02
0.04
0.06
0.08
M2
P
I
V
T
A
β=3.25
χPT analysis is complicated by Taste breaking
6 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Sextet model as Composite Higgs candidateSextet model as Composite Higgs candidate
Taste breakingGoldstone spectrum depends on m with different slopes⇒ Tastebreaking pattern is different from QCD
0 0.002 0.004 0.006 0.008
m
0
0.02
0.04
0.06
0.08
M2
P
I
V
T
A
β=3.20
0 0.002 0.004 0.006 0.008
m
0
0.02
0.04
0.06
0.08
M2
P
I
V
T
A
β=3.25
χPT analysis is complicated by Taste breaking
6 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Sextet model as Composite Higgs candidateSextet model as Composite Higgs candidate
Taste breakingGoldstone spectrum depends on m with different slopes⇒ Tastebreaking pattern is different from QCD
0 0.002 0.004 0.006 0.008
m
0
0.02
0.04
0.06
0.08
M2
P
I
V
T
A
β=3.20
0 0.002 0.004 0.006 0.008
m
0
0.02
0.04
0.06
0.08
M2
P
I
V
T
A
β=3.25
χPT analysis is complicated by Taste breaking
6 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Sextet model as Composite Higgs candidateSextet model as Composite Higgs candidate
Taste breakingGradient Flow ( Martin Luescher Commun.Math.Phys.293:899-919,2010 ) restores taste
Mixed action analysis using Gradient Flow is under development
7 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Sextet model as Composite Higgs candidateSextet model as Composite Higgs candidate
Taste breakingGradient Flow ( Martin Luescher Commun.Math.Phys.293:899-919,2010 ) restores taste
Mixed action analysis using Gradient Flow is under development
7 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Sextet model as Composite Higgs candidateSextet model as Composite Higgs candidate
Taste breakingGradient Flow ( Martin Luescher Commun.Math.Phys.293:899-919,2010 ) restores taste
Mixed action analysis using Gradient Flow is under development
7 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Hadron spectroscopy in η channelHadron spectroscopy in η channel
Where is Mη (Isoscalar JPC = 0−+)?π = ψ̄ γ5 C ψ , ψ = (u,d)T :NG boson
∂µ jµ5 ∼ mj5 ⇒ limm→0
M2π = 0
η = ψ̄ γ5 ψ , ψ = (u,d)T :would-be NG boson, but mass generated by U(1)A anomaly
∂µ jµ5 ∼ 2Nf (Nc±2)q,
+: Symmetric, −: Anti-symmetricWitten-Veneziano formula ( E. Witten, G. Veneziano Nucl. Phys. B 159, 213,269 (1979))
predicts much higher mass than QCD in the chiral limit
M2η ∼
6(Nc±2)f 2π
χt|Nf =0, χt|Nf =0 =∫
dx〈q(0)q(x)〉|Nf =0
8 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Hadron spectroscopy in η channelHadron spectroscopy in η channel
Where is Mη (Isoscalar JPC = 0−+)?π = ψ̄ γ5 C ψ , ψ = (u,d)T :NG boson
∂µ jµ5 ∼ mj5 ⇒ limm→0
M2π = 0
η = ψ̄ γ5 ψ , ψ = (u,d)T :would-be NG boson, but mass generated by U(1)A anomaly
∂µ jµ5 ∼ 2Nf (Nc±2)q,
+: Symmetric, −: Anti-symmetricWitten-Veneziano formula ( E. Witten, G. Veneziano Nucl. Phys. B 159, 213,269 (1979))
predicts much higher mass than QCD in the chiral limit
M2η ∼
6(Nc±2)f 2π
χt|Nf =0, χt|Nf =0 =∫
dx〈q(0)q(x)〉|Nf =0
8 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Hadron spectroscopy in η channelHadron spectroscopy in η channel
Where is Mη (Isoscalar JPC = 0−+)?π = ψ̄ γ5 C ψ , ψ = (u,d)T :NG boson
∂µ jµ5 ∼ mj5 ⇒ limm→0
M2π = 0
η = ψ̄ γ5 ψ , ψ = (u,d)T :would-be NG boson, but mass generated by U(1)A anomaly
∂µ jµ5 ∼ 2Nf (Nc±2)q,
+: Symmetric, −: Anti-symmetricWitten-Veneziano formula ( E. Witten, G. Veneziano Nucl. Phys. B 159, 213,269 (1979))
predicts much higher mass than QCD in the chiral limit
M2η ∼
6(Nc±2)f 2π
χt|Nf =0, χt|Nf =0 =∫
dx〈q(0)q(x)〉|Nf =0
8 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Hadron spectroscopy in η channelHadron spectroscopy in η channel
Where is Mη (Isoscalar JPC = 0−+)?π = ψ̄ γ5 C ψ , ψ = (u,d)T :NG boson
∂µ jµ5 ∼ mj5 ⇒ limm→0
M2π = 0
η = ψ̄ γ5 ψ , ψ = (u,d)T :would-be NG boson, but mass generated by U(1)A anomaly
∂µ jµ5 ∼ 2Nf (Nc±2)q,
+: Symmetric, −: Anti-symmetricWitten-Veneziano formula ( E. Witten, G. Veneziano Nucl. Phys. B 159, 213,269 (1979))
predicts much higher mass than QCD in the chiral limit
M2η ∼
6(Nc±2)f 2π
χt|Nf =0, χt|Nf =0 =∫
dx〈q(0)q(x)〉|Nf =0
8 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Hadron spectroscopy in η channelHadron spectroscopy in η channel
Fermionic correlator
〈η(τ)η(τ0)〉 ≡ −C(τ− τ0)+2D(τ− τ0)
Involves disconnected contribution D(τ− τ0) which are costlyIn the limit τ− τ0→ ∞,
−C(τ− τ0) ∝ Aπ e−Mπ (τ−τ0)
2D(τ− τ0) ∝−Aπ e−Mπ (τ−τ0)+Bη e−Mη (τ−τ0) (Mπ < Mη )
Cancellation of large pion contribution⇒ Noisy
9 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Hadron spectroscopy in η channelHadron spectroscopy in η channel
Fermionic correlator
〈η(τ)η(τ0)〉 ≡ −C(τ− τ0)+2D(τ− τ0)
Involves disconnected contribution D(τ− τ0) which are costlyIn the limit τ− τ0→ ∞,
−C(τ− τ0) ∝ Aπ e−Mπ (τ−τ0)
2D(τ− τ0) ∝−Aπ e−Mπ (τ−τ0)+Bη e−Mη (τ−τ0) (Mπ < Mη )
Cancellation of large pion contribution⇒ Noisy
9 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Hadron spectroscopy in η channelHadron spectroscopy in η channel
Fermionic correlator
〈η(τ)η(τ0)〉 ≡ −C(τ− τ0)+2D(τ− τ0)
Involves disconnected contribution D(τ− τ0) which are costlyIn the limit τ− τ0→ ∞,
−C(τ− τ0) ∝ Aπ e−Mπ (τ−τ0)
2D(τ− τ0) ∝−Aπ e−Mπ (τ−τ0)+Bη e−Mη (τ−τ0) (Mπ < Mη )
Cancellation of large pion contribution⇒ Noisy
9 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Hadron spectroscopy in η channelHadron spectroscopy in η channel
Fermionic correlator
〈η(τ)η(τ0)〉 ≡ −C(τ− τ0)+2D(τ− τ0)
Involves disconnected contribution D(τ− τ0) which are costlyIn the limit τ− τ0→ ∞,
−C(τ− τ0) ∝ Aπ e−Mπ (τ−τ0)
2D(τ− τ0) ∝−Aπ e−Mπ (τ−τ0)+Bη e−Mη (τ−τ0) (Mπ < Mη )
Cancellation of large pion contribution⇒ Noisy
9 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Hadron spectroscopy in η channelHadron spectroscopy in η channel
Gluonic operator (H. Fukaya, Phys. Rev. D 92, 111501 2015)
Mη can be extracted from the topological charge density:
q(x) =1
32π2 εµνρσ Tr Fµν
cl Fρσ
cl (x)
limr→large
−〈q(x)q(y)〉 ∝K1( Mη r )
r, r ≡ |x− y|
Fµν
cl : Field Strength Tensor (clover term)K1: Modified Bessel function of the second kindDoes not couple directly to pions⇒ QuieterNo inversions of Dirac operator⇒ CheaperFurther speed-up by FFT
〈q(x)q(y)〉= 14π2
∫|q̃(k)|2eik(x−y)d4k
10 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Hadron spectroscopy in η channelHadron spectroscopy in η channel
Gluonic operator (H. Fukaya, Phys. Rev. D 92, 111501 2015)
Mη can be extracted from the topological charge density:
q(x) =1
32π2 εµνρσ Tr Fµν
cl Fρσ
cl (x)
limr→large
−〈q(x)q(y)〉 ∝K1( Mη r )
r, r ≡ |x− y|
Fµν
cl : Field Strength Tensor (clover term)K1: Modified Bessel function of the second kindDoes not couple directly to pions⇒ QuieterNo inversions of Dirac operator⇒ CheaperFurther speed-up by FFT
〈q(x)q(y)〉= 14π2
∫|q̃(k)|2eik(x−y)d4k
10 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Hadron spectroscopy in η channelHadron spectroscopy in η channel
Gluonic operator (H. Fukaya, Phys. Rev. D 92, 111501 2015)
Mη can be extracted from the topological charge density:
q(x) =1
32π2 εµνρσ Tr Fµν
cl Fρσ
cl (x)
limr→large
−〈q(x)q(y)〉 ∝K1( Mη r )
r, r ≡ |x− y|
Fµν
cl : Field Strength Tensor (clover term)K1: Modified Bessel function of the second kindDoes not couple directly to pions⇒ QuieterNo inversions of Dirac operator⇒ CheaperFurther speed-up by FFT
〈q(x)q(y)〉= 14π2
∫|q̃(k)|2eik(x−y)d4k
10 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Hadron spectroscopy in η channelHadron spectroscopy in η channel
Gluonic operator (H. Fukaya, Phys. Rev. D 92, 111501 2015)
Mη can be extracted from the topological charge density:
q(x) =1
32π2 εµνρσ Tr Fµν
cl Fρσ
cl (x)
limr→large
−〈q(x)q(y)〉 ∝K1( Mη r )
r, r ≡ |x− y|
Fµν
cl : Field Strength Tensor (clover term)K1: Modified Bessel function of the second kindDoes not couple directly to pions⇒ QuieterNo inversions of Dirac operator⇒ CheaperFurther speed-up by FFT
〈q(x)q(y)〉= 14π2
∫|q̃(k)|2eik(x−y)d4k
10 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Hadron spectroscopy in η channelHadron spectroscopy in η channel
Gluonic operator (H. Fukaya, Phys. Rev. D 92, 111501 2015)
Mη can be extracted from the topological charge density:
q(x) =1
32π2 εµνρσ Tr Fµν
cl Fρσ
cl (x)
limr→large
−〈q(x)q(y)〉 ∝K1( Mη r )
r, r ≡ |x− y|
Fµν
cl : Field Strength Tensor (clover term)K1: Modified Bessel function of the second kindDoes not couple directly to pions⇒ QuieterNo inversions of Dirac operator⇒ CheaperFurther speed-up by FFT
〈q(x)q(y)〉= 14π2
∫|q̃(k)|2eik(x−y)d4k
10 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Hadron spectroscopy in η channelHadron spectroscopy in η channel
Improvement from Gradient FlowCut-off effects can be reduced by the lattice version of GradientFlow with Wilson operator
∂tAµ(t,x) =−∂SYM
∂Aµ
Smooths links similar to diffusion equation with diffusion length√8t in lattice units
Correlator is distorted by footprint⇒ Fitting range of r should befar enough r >> 2
√8t
0 2 4 6 8 10 12 14 16 18 20 22
r=|x-y|
-1e-10
-5e-11
0
5e-11
1e-10
<q
(x)q
(y)>
tf=1.0
tf=2.0
tf=3.5
tf=5.0
643x96, β=3.2500, m=0.001
0 2 4 6 8 10 12 14 16 18 20 22
r=|x-y|
1e-15
1e-14
1e-13
1e-12
1e-11
1e-10
1e-09
1e-08
-<q
(x)q
(y)>
tf=1.0
tf=2.0
tf=3.5
tf=5.0
643x96, β=3.2500, m=0.001
11 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Hadron spectroscopy in η channelHadron spectroscopy in η channel
Improvement from Gradient FlowCut-off effects can be reduced by the lattice version of GradientFlow with Wilson operator
∂tAµ(t,x) =−∂SYM
∂Aµ
Smooths links similar to diffusion equation with diffusion length√8t in lattice units
Correlator is distorted by footprint⇒ Fitting range of r should befar enough r >> 2
√8t
0 2 4 6 8 10 12 14 16 18 20 22
r=|x-y|
-1e-10
-5e-11
0
5e-11
1e-10
<q
(x)q
(y)>
tf=1.0
tf=2.0
tf=3.5
tf=5.0
643x96, β=3.2500, m=0.001
0 2 4 6 8 10 12 14 16 18 20 22
r=|x-y|
1e-15
1e-14
1e-13
1e-12
1e-11
1e-10
1e-09
1e-08
-<q
(x)q
(y)>
tf=1.0
tf=2.0
tf=3.5
tf=5.0
643x96, β=3.2500, m=0.001
11 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Hadron spectroscopy in η channelHadron spectroscopy in η channel
Improvement from Gradient FlowCut-off effects can be reduced by the lattice version of GradientFlow with Wilson operator
∂tAµ(t,x) =−∂SYM
∂Aµ
Smooths links similar to diffusion equation with diffusion length√8t in lattice units
Correlator is distorted by footprint⇒ Fitting range of r should befar enough r >> 2
√8t
0 2 4 6 8 10 12 14 16 18 20 22
r=|x-y|
-1e-10
-5e-11
0
5e-11
1e-10
<q
(x)q
(y)>
tf=1.0
tf=2.0
tf=3.5
tf=5.0
643x96, β=3.2500, m=0.001
0 2 4 6 8 10 12 14 16 18 20 22
r=|x-y|
1e-15
1e-14
1e-13
1e-12
1e-11
1e-10
1e-09
1e-08
-<q
(x)q
(y)>
tf=1.0
tf=2.0
tf=3.5
tf=5.0
643x96, β=3.2500, m=0.001
11 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Hadron spectroscopy in η channelHadron spectroscopy in η channel
Improvement from Gradient FlowCut-off effects can be reduced by the lattice version of GradientFlow with Wilson operator
∂tAµ(t,x) =−∂SYM
∂Aµ
Smooths links similar to diffusion equation with diffusion length√8t in lattice units
Correlator is distorted by footprint⇒ Fitting range of r should befar enough r >> 2
√8t
0 2 4 6 8 10 12 14 16 18 20 22
r=|x-y|
-1e-10
-5e-11
0
5e-11
1e-10
<q
(x)q
(y)>
tf=1.0
tf=2.0
tf=3.5
tf=5.0
643x96, β=3.2500, m=0.001
0 2 4 6 8 10 12 14 16 18 20 22
r=|x-y|
1e-15
1e-14
1e-13
1e-12
1e-11
1e-10
1e-09
1e-08
-<q
(x)q
(y)>
tf=1.0
tf=2.0
tf=3.5
tf=5.0
643x96, β=3.2500, m=0.001
11 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Preliminary ResultsPreliminary Results
4 6 8 10 12 14 16 18 20 22
r=|x-y|
1e-14
1e-13
1e-12
1e-11
-<q
(x)q
(y)>
tf=4.5
643x96, β=3.2500, m=0.001
-<q(x)q(y)>=A*K1(M
η r)/r
A=6.4(2) x 10-9
,Mη=0.418(2), χ
2/dof=0.2
4 6 8 10 12 14 16 18 20 22
r=|x-y|
1e-14
1e-13
1e-12
1e-11
-<q
(x)q
(y)>
tf=5.0
643x96, β=3.2500, m=0.001
-<q(x)q(y)>=A*K1(M
η r)/r
A=6.6(2) x 10-9
,Mη=0.419(2), χ
2/dof=0.3
4 6 8 10 12 14 16 18 20 22
r=|x-y|
1e-14
1e-13
1e-12
1e-11
-<q
(x)q
(y)>
tf=5.5
643x96, β=3.2500, m=0.001
-<q(x)q(y)>=A*K1(M
η r)/r
A=6.3(2) x 10-9
,Mη=0.416(2), χ
2/dof=0.5
3 3.5 4 4.5 5 5.5 6
tf
0.3
0.35
0.4
0.45
0.5
Mη
643x96, β=3.2500, m=0.001
12 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Preliminary ResultsPreliminary Results
Mη can be as heavy as > 3 TeVMeasurements from more ensembles at different volumes, β ’s andm’s are available and accumulating
4 6 8 10 12 14 16 18 20 22
r=|x-y|
1e-14
1e-13
1e-12
1e-11
-<q(x
)q(y
)>
tf=5.0
563x96, β=3.2000, m=0.001
4 6 8 10 12 14 16 18 20 22
r=|x-y|
1e-14
1e-13
1e-12
1e-11
-<q(x
)q(y
)>
tf=5.0
563x96, β=3.2000, m=0.0015
4 6 8 10 12 14 16 18 20
r=|x-y|
1e-14
1e-13
1e-12
1e-11
-<q(x
)q(y
)>
tf=5.0
563x96, β=3.2000, m=0.002
Further analysis:The effects of finite volume and fixed topologyCross-check by time-slice-to-time-slice correlator
lim|x4−y4|→large
−∑~x ,~y〈q(x)q(y)〉 ∝ e−Mη |x4−y4|
The mixing between η and pseudoscalar glueball
13 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Preliminary ResultsPreliminary Results
Mη can be as heavy as > 3 TeVMeasurements from more ensembles at different volumes, β ’s andm’s are available and accumulating
4 6 8 10 12 14 16 18 20 22
r=|x-y|
1e-14
1e-13
1e-12
1e-11
-<q(x
)q(y
)>
tf=5.0
563x96, β=3.2000, m=0.001
4 6 8 10 12 14 16 18 20 22
r=|x-y|
1e-14
1e-13
1e-12
1e-11
-<q(x
)q(y
)>
tf=5.0
563x96, β=3.2000, m=0.0015
4 6 8 10 12 14 16 18 20
r=|x-y|
1e-14
1e-13
1e-12
1e-11
-<q(x
)q(y
)>
tf=5.0
563x96, β=3.2000, m=0.002
Further analysis:The effects of finite volume and fixed topologyCross-check by time-slice-to-time-slice correlator
lim|x4−y4|→large
−∑~x ,~y〈q(x)q(y)〉 ∝ e−Mη |x4−y4|
The mixing between η and pseudoscalar glueball
13 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Preliminary ResultsPreliminary Results
Mη can be as heavy as > 3 TeVMeasurements from more ensembles at different volumes, β ’s andm’s are available and accumulating
4 6 8 10 12 14 16 18 20 22
r=|x-y|
1e-14
1e-13
1e-12
1e-11
-<q(x
)q(y
)>
tf=5.0
563x96, β=3.2000, m=0.001
4 6 8 10 12 14 16 18 20 22
r=|x-y|
1e-14
1e-13
1e-12
1e-11
-<q(x
)q(y
)>
tf=5.0
563x96, β=3.2000, m=0.0015
4 6 8 10 12 14 16 18 20
r=|x-y|
1e-14
1e-13
1e-12
1e-11
-<q(x
)q(y
)>
tf=5.0
563x96, β=3.2000, m=0.002
Further analysis:The effects of finite volume and fixed topologyCross-check by time-slice-to-time-slice correlator
lim|x4−y4|→large
−∑~x ,~y〈q(x)q(y)〉 ∝ e−Mη |x4−y4|
The mixing between η and pseudoscalar glueball
13 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Preliminary ResultsPreliminary Results
Mη can be as heavy as > 3 TeVMeasurements from more ensembles at different volumes, β ’s andm’s are available and accumulating
4 6 8 10 12 14 16 18 20 22
r=|x-y|
1e-14
1e-13
1e-12
1e-11
-<q(x
)q(y
)>
tf=5.0
563x96, β=3.2000, m=0.001
4 6 8 10 12 14 16 18 20 22
r=|x-y|
1e-14
1e-13
1e-12
1e-11
-<q(x
)q(y
)>
tf=5.0
563x96, β=3.2000, m=0.0015
4 6 8 10 12 14 16 18 20
r=|x-y|
1e-14
1e-13
1e-12
1e-11
-<q(x
)q(y
)>
tf=5.0
563x96, β=3.2000, m=0.002
Further analysis:The effects of finite volume and fixed topologyCross-check by time-slice-to-time-slice correlator
lim|x4−y4|→large
−∑~x ,~y〈q(x)q(y)〉 ∝ e−Mη |x4−y4|
The mixing between η and pseudoscalar glueball
13 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Preliminary ResultsPreliminary Results
Mη can be as heavy as > 3 TeVMeasurements from more ensembles at different volumes, β ’s andm’s are available and accumulating
4 6 8 10 12 14 16 18 20 22
r=|x-y|
1e-14
1e-13
1e-12
1e-11
-<q(x
)q(y
)>
tf=5.0
563x96, β=3.2000, m=0.001
4 6 8 10 12 14 16 18 20 22
r=|x-y|
1e-14
1e-13
1e-12
1e-11
-<q(x
)q(y
)>
tf=5.0
563x96, β=3.2000, m=0.0015
4 6 8 10 12 14 16 18 20
r=|x-y|
1e-14
1e-13
1e-12
1e-11
-<q(x
)q(y
)>
tf=5.0
563x96, β=3.2000, m=0.002
Further analysis:The effects of finite volume and fixed topologyCross-check by time-slice-to-time-slice correlator
lim|x4−y4|→large
−∑~x ,~y〈q(x)q(y)〉 ∝ e−Mη |x4−y4|
The mixing between η and pseudoscalar glueball
13 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
Preliminary ResultsPreliminary Results
Mη can be as heavy as > 3 TeVMeasurements from more ensembles at different volumes, β ’s andm’s are available and accumulating
4 6 8 10 12 14 16 18 20 22
r=|x-y|
1e-14
1e-13
1e-12
1e-11
-<q(x
)q(y
)>
tf=5.0
563x96, β=3.2000, m=0.001
4 6 8 10 12 14 16 18 20 22
r=|x-y|
1e-14
1e-13
1e-12
1e-11
-<q(x
)q(y
)>
tf=5.0
563x96, β=3.2000, m=0.0015
4 6 8 10 12 14 16 18 20
r=|x-y|
1e-14
1e-13
1e-12
1e-11
-<q(x
)q(y
)>
tf=5.0
563x96, β=3.2000, m=0.002
Further analysis:The effects of finite volume and fixed topologyCross-check by time-slice-to-time-slice correlator
lim|x4−y4|→large
−∑~x ,~y〈q(x)q(y)〉 ∝ e−Mη |x4−y4|
The mixing between η and pseudoscalar glueball
13 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
ConclusionConclusion
The sextet model remains an interesting candidate model ofComposite Higgs scenario (More details can be found on JuliusKuti’s talk on Mon)More comprehensive and better analysis tools , e.g. mixed actionanalysis, are being developedSextet Mη is extracted from the topological charge densitycorrelator after Wilson Gradient FlowSextet Mη appears to be heavy, and further investigation is ongoing
14 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
ConclusionConclusion
The sextet model remains an interesting candidate model ofComposite Higgs scenario (More details can be found on JuliusKuti’s talk on Mon)More comprehensive and better analysis tools , e.g. mixed actionanalysis, are being developedSextet Mη is extracted from the topological charge densitycorrelator after Wilson Gradient FlowSextet Mη appears to be heavy, and further investigation is ongoing
14 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
ConclusionConclusion
The sextet model remains an interesting candidate model ofComposite Higgs scenario (More details can be found on JuliusKuti’s talk on Mon)More comprehensive and better analysis tools , e.g. mixed actionanalysis, are being developedSextet Mη is extracted from the topological charge densitycorrelator after Wilson Gradient FlowSextet Mη appears to be heavy, and further investigation is ongoing
14 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
ConclusionConclusion
The sextet model remains an interesting candidate model ofComposite Higgs scenario (More details can be found on JuliusKuti’s talk on Mon)More comprehensive and better analysis tools , e.g. mixed actionanalysis, are being developedSextet Mη is extracted from the topological charge densitycorrelator after Wilson Gradient FlowSextet Mη appears to be heavy, and further investigation is ongoing
14 / 15
Selected newresults from theSpectroscopy
in the sextet BSMModel
Chik Him (Ricky)Wong
Outline
Review
η Spectroscopy
Correlator construction
Improvement usingGradient Flow
Preliminary Results
Conclusion
12 12.5 13 13.5 14 14.5rmin
0
0.1
0.2
0.3
0.4
0.5
mfi
t(rm
in)
tf=4.0
643x96, β=3.2500, m=0.001, r
max=20
15 / 15
![Highcalorimeters and via conversion of photons was covered in another presentation [10]. 3. High p T results ALICE has recently submitted results on identified flow, v 2 and v 3,](https://static.fdocument.org/doc/165x107/6025d881cfbb8677cb7a17d1/high-calorimeters-and-via-conversion-of-photons-was-covered-in-another-presentation.jpg)