Selected new results from the Spectroscopy Selected new results from - PowerPoint PPT Presentation

Selected new results from the Spectroscopy Selected new results from the Spectroscopy Selected new results from the Spectroscopy in the sextet BSM Model Chik Him (Ricky) in the sextet BSM Model in the sextet BSM Model Wong Outline Review η Spectroscopy Correlator construction Improvement using Gradient Flow Chik Him (Ricky) Wong Preliminary Results Conclusion Lattice Higgs Collaboration (L at HC): 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

Outline Outline Selected new results from the Spectroscopy in the sextet BSM Model Chik Him (Ricky) Wong Outline Review Review: Sextet model as Composite Higgs candidate η Spectroscopy Correlator construction Hadron spectroscopy in Isoscalar J PC = 0 − + ( η ) channel Improvement using Gradient Flow Fermionic correlator Preliminary Results Gluonic operator Conclusion Improvement using Gradient Flow Preliminary results Conclusion 2 / 15

Sextet model as Composite Higgs candidate Sextet model as Composite Higgs candidate Selected new results from the Spectroscopy Criteria for candidate models in composite Higgs scenario: in the sextet BSM Model Generates Higgs boson consistent with phenomenology Chik Him (Ricky) Infrared pseudo-Fixed point(IRFP) + Spontaneous χ SB ⇒ Models Wong at the edge of Conformal Window Outline SU ( 3 ) N f = 2 Sextet(Two-index symmetric) Model Review � u L � η Spectroscopy ab ψ L ab = ψ L , ψ R ab = ψ R u R ab d R � � ba ≡ ba ≡ Correlator construction ab Improvement using d L Gradient Flow ab Preliminary Results a , b = 0 , 1 , 2 Conclusion Why is it interesting? Very close to Conformal Window “Minimal” model Spontaneous Chiral Symmetry Breaking: SU ( N f ) L × SU ( N f ) R → SU ( N f ) V 3 Nambu-Goldstone Bosons (BSM- π ) out of N 2 f − 1 are eaten in Higgs Mechanism: SU ( 2 ) W × U ( 1 ) Y → U ( 1 ) em while BSM- f 0 is identified as the Higgs boson H N 2 f − 4 massless BSM- π ’s somehow gains masses from additional interactions, but far separated from the eaten massless 3, yet not a concern if N f = 2 ⇒ Sextet is “Minimal” realization and hence appealing 3 / 15

Sextet model as Composite Higgs candidate Sextet model as Composite Higgs candidate Selected new results from the Spectroscopy Criteria for candidate models in composite Higgs scenario: in the sextet BSM Model Generates Higgs boson consistent with phenomenology Chik Him (Ricky) Infrared pseudo-Fixed point(IRFP) + Spontaneous χ SB ⇒ Models Wong at the edge of Conformal Window Outline SU ( 3 ) N f = 2 Sextet(Two-index symmetric) Model Review � u L � η Spectroscopy ab ψ L ab = ψ L , ψ R ab = ψ R u R ab d R � � ba ≡ ba ≡ Correlator construction ab Improvement using d L Gradient Flow ab Preliminary Results a , b = 0 , 1 , 2 Conclusion Why is it interesting? Very close to Conformal Window “Minimal” model Spontaneous Chiral Symmetry Breaking: SU ( N f ) L × SU ( N f ) R → SU ( N f ) V 3 Nambu-Goldstone Bosons (BSM- π ) out of N 2 f − 1 are eaten in Higgs Mechanism: SU ( 2 ) W × U ( 1 ) Y → U ( 1 ) em while BSM- f 0 is identified as the Higgs boson H N 2 f − 4 massless BSM- π ’s somehow gains masses from additional interactions, but far separated from the eaten massless 3, yet not a concern if N f = 2 ⇒ Sextet is “Minimal” realization and hence appealing 3 / 15

Sextet model as Composite Higgs candidate Sextet model as Composite Higgs candidate Selected new results from the Spectroscopy Criteria for candidate models in composite Higgs scenario: in the sextet BSM Model Generates Higgs boson consistent with phenomenology Chik Him (Ricky) Infrared pseudo-Fixed point(IRFP) + Spontaneous χ SB ⇒ Models Wong at the edge of Conformal Window Outline SU ( 3 ) N f = 2 Sextet(Two-index symmetric) Model Review � u L � η Spectroscopy ab ψ L ab = ψ L , ψ R ab = ψ R u R ab d R � � ba ≡ ba ≡ Correlator construction ab Improvement using d L Gradient Flow ab Preliminary Results a , b = 0 , 1 , 2 Conclusion Why is it interesting? Very close to Conformal Window “Minimal” model Spontaneous Chiral Symmetry Breaking: SU ( N f ) L × SU ( N f ) R → SU ( N f ) V 3 Nambu-Goldstone Bosons (BSM- π ) out of N 2 f − 1 are eaten in Higgs Mechanism: SU ( 2 ) W × U ( 1 ) Y → U ( 1 ) em while BSM- f 0 is identified as the Higgs boson H N 2 f − 4 massless BSM- π ’s somehow gains masses from additional interactions, but far separated from the eaten massless 3, yet not a concern if N f = 2 ⇒ Sextet is “Minimal” realization and hence appealing 3 / 15

Sextet model as Composite Higgs candidate Sextet model as Composite Higgs candidate Selected new results from the Spectroscopy Criteria for candidate models in composite Higgs scenario: in the sextet BSM Model Generates Higgs boson consistent with phenomenology Chik Him (Ricky) Infrared pseudo-Fixed point(IRFP) + Spontaneous χ SB ⇒ Models Wong at the edge of Conformal Window Outline SU ( 3 ) N f = 2 Sextet(Two-index symmetric) Model Review � u L � η Spectroscopy ab ψ L ab = ψ L , ψ R ab = ψ R u R ab d R � � ba ≡ ba ≡ Correlator construction ab Improvement using d L Gradient Flow ab Preliminary Results a , b = 0 , 1 , 2 Conclusion Why is it interesting? Very close to Conformal Window “Minimal” model Spontaneous Chiral Symmetry Breaking: SU ( N f ) L × SU ( N f ) R → SU ( N f ) V 3 Nambu-Goldstone Bosons (BSM- π ) out of N 2 f − 1 are eaten in Higgs Mechanism: SU ( 2 ) W × U ( 1 ) Y → U ( 1 ) em while BSM- f 0 is identified as the Higgs boson H N 2 f − 4 massless BSM- π ’s somehow gains masses from additional interactions, but far separated from the eaten massless 3, yet not a concern if N f = 2 ⇒ Sextet is “Minimal” realization and hence appealing 3 / 15

Sextet model as Composite Higgs candidate Sextet model as Composite Higgs candidate Selected new results from the Spectroscopy Criteria for candidate models in composite Higgs scenario: in the sextet BSM Model Generates Higgs boson consistent with phenomenology Chik Him (Ricky) Infrared pseudo-Fixed point(IRFP) + Spontaneous χ SB ⇒ Models Wong at the edge of Conformal Window Outline SU ( 3 ) N f = 2 Sextet(Two-index symmetric) Model Review � u L � η Spectroscopy ab ψ L ab = ψ L , ψ R ab = ψ R u R ab d R � � ba ≡ ba ≡ Correlator construction ab Improvement using d L Gradient Flow ab Preliminary Results a , b = 0 , 1 , 2 Conclusion Why is it interesting? Very close to Conformal Window “Minimal” model Spontaneous Chiral Symmetry Breaking: SU ( N f ) L × SU ( N f ) R → SU ( N f ) V 3 Nambu-Goldstone Bosons (BSM- π ) out of N 2 f − 1 are eaten in Higgs Mechanism: SU ( 2 ) W × U ( 1 ) Y → U ( 1 ) em while BSM- f 0 is identified as the Higgs boson H N 2 f − 4 massless BSM- π ’s somehow gains masses from additional interactions, but far separated from the eaten massless 3, yet not a concern if N f = 2 ⇒ Sextet is “Minimal” realization and hence appealing 3 / 15

Sextet model as Composite Higgs candidate Sextet model as Composite Higgs candidate Selected new results from the Spectroscopy Criteria for candidate models in composite Higgs scenario: in the sextet BSM Model Generates Higgs boson consistent with phenomenology Chik Him (Ricky) Infrared pseudo-Fixed point(IRFP) + Spontaneous χ SB ⇒ Models Wong at the edge of Conformal Window Outline SU ( 3 ) N f = 2 Sextet(Two-index symmetric) Model Review � u L � η Spectroscopy ab ψ L ab = ψ L , ψ R ab = ψ R u R ab d R � � ba ≡ ba ≡ Correlator construction ab Improvement using d L Gradient Flow ab Preliminary Results a , b = 0 , 1 , 2 Conclusion Why is it interesting? Very close to Conformal Window “Minimal” model Spontaneous Chiral Symmetry Breaking: SU ( N f ) L × SU ( N f ) R → SU ( N f ) V 3 Nambu-Goldstone Bosons (BSM- π ) out of N 2 f − 1 are eaten in Higgs Mechanism: SU ( 2 ) W × U ( 1 ) Y → U ( 1 ) em while BSM- f 0 is identified as the Higgs boson H N 2 f − 4 massless BSM- π ’s somehow gains masses from additional interactions, but far separated from the eaten massless 3, yet not a concern if N f = 2 ⇒ Sextet is “Minimal” realization and hence appealing 3 / 15

Sextet model as Composite Higgs candidate Sextet model as Composite Higgs candidate Selected new results from the Spectroscopy Criteria for candidate models in composite Higgs scenario: in the sextet BSM Model Generates Higgs boson consistent with phenomenology Chik Him (Ricky) Infrared pseudo-Fixed point(IRFP) + Spontaneous χ SB ⇒ Models Wong at the edge of Conformal Window Outline SU ( 3 ) N f = 2 Sextet(Two-index symmetric) Model Review � u L � η Spectroscopy ab ψ L ab = ψ L , ψ R ab = ψ R u R ab d R � � ba ≡ ba ≡ Correlator construction ab Improvement using d L Gradient Flow ab Preliminary Results a , b = 0 , 1 , 2 Conclusion Why is it interesting? Very close to Conformal Window “Minimal” model Spontaneous Chiral Symmetry Breaking: SU ( N f ) L × SU ( N f ) R → SU ( N f ) V 3 Nambu-Goldstone Bosons (BSM- π ) out of N 2 f − 1 are eaten in Higgs Mechanism: SU ( 2 ) W × U ( 1 ) Y → U ( 1 ) em while BSM- f 0 is identified as the Higgs boson H N 2 f − 4 massless BSM- π ’s somehow gains masses from additional interactions, but far separated from the eaten massless 3, yet not a concern if N f = 2 ⇒ Sextet is “Minimal” realization and hence appealing 3 / 15