Introduction Result Discussion Summary Critical Phenomena in 8-Flavor QCD In The Light of Physics Beyond The Standard Model Kohtaroh Miura (CPT, Aix-Marseille Univ. (KMI, Nagoya Univ.)) Univ. of Plymouth, 03 August, 2016 Kohtaroh Miura (CPT, Aix-Marseille Univ. (KMI, Nagoya Univ.)) Critical Phenomena in 8-Flavor QCD
Introduction Result Discussion Summary LatKMI Collaboration Y. Aoki (KEK) T. Aoyama (KMI, Nagoya Univ) E. Bennett (Swansea Univ (UK)) M. Kurachi (KEK) T. Maskawa (KMI, Nagoya Univ) K. Miura (CPT, Aix-Marseille Univ (RF) / KMI, Nagoya-Univ) K-i. Nagai (KMI, Nagoya Univ) H. Ohki (RIKEN) T. Yamazaki (Tsukuba Univ) K. Yamawaki (KMI, Nagoya Univ) E. Rinaldi (LLNL (US)) A. Shibata (KEK) Kohtaroh Miura (CPT, Aix-Marseille Univ. (KMI, Nagoya Univ.)) Critical Phenomena in 8-Flavor QCD
Introduction Higgs and Strong Dynamics Result Conformal/Walking Dynamics in Many-Flavor QCD Discussion Subject of Our Study Summary Motivation The Higgs boson with M H ≃ 125 GeV is discovered (2012, LHC-CERN)! The LHC second-run has started! Why Not Investigate Higgs & Electroweak Symmetry Breaking(EWSB)? Kohtaroh Miura (CPT, Aix-Marseille Univ. (KMI, Nagoya Univ.)) Critical Phenomena in 8-Flavor QCD
Introduction Higgs and Strong Dynamics Result Conformal/Walking Dynamics in Many-Flavor QCD Discussion Subject of Our Study Summary Motivation The Higgs boson with M H ≃ 125 GeV is discovered (2012, LHC-CERN)! The LHC second-run has started! Why Not Investigate Higgs & Electroweak Symmetry Breaking(EWSB)? Kohtaroh Miura (CPT, Aix-Marseille Univ. (KMI, Nagoya Univ.)) Critical Phenomena in 8-Flavor QCD
Introduction Higgs and Strong Dynamics Result Conformal/Walking Dynamics in Many-Flavor QCD Discussion Subject of Our Study Summary Motivation The Higgs boson with M H ≃ 125 GeV is discovered (2012, LHC-CERN)! The LHC second-run has started! Why Not Investigate Higgs & Electroweak Symmetry Breaking(EWSB)? Kohtaroh Miura (CPT, Aix-Marseille Univ. (KMI, Nagoya Univ.)) Critical Phenomena in 8-Flavor QCD
Introduction Higgs and Strong Dynamics Result Conformal/Walking Dynamics in Many-Flavor QCD Discussion Subject of Our Study Summary Strong Dynamics: Origin of EWSB Questions/ Answers: New Strong Dynamics ∋ ( F a i , G a ¯ a ) Physical Content of Higgs? 1 Composite Higgs ¯ FF (c.f. σ QCD , Cooper-Pair). Physics of Electroweak (EW) Symmetry Breaking? 2 Chiral Symmetry Breaking. Fine-Tuning Problem for M H = 125 GeV? 3 Log (partly Power-Low) corrections for M H = 125 GeV. Kohtaroh Miura (CPT, Aix-Marseille Univ. (KMI, Nagoya Univ.)) Critical Phenomena in 8-Flavor QCD
Introduction Higgs and Strong Dynamics Result Conformal/Walking Dynamics in Many-Flavor QCD Discussion Subject of Our Study Summary Strong Dynamics: Origin of EWSB Questions/ Answers: New Strong Dynamics ∋ ( F a i , G a ¯ a ) Physical Content of Higgs? 1 Composite Higgs ¯ FF (c.f. σ QCD , Cooper-Pair). Physics of Electroweak (EW) Symmetry Breaking? 2 Chiral Symmetry Breaking. Fine-Tuning Problem for M H = 125 GeV? 3 Log (partly Power-Low) corrections for M H = 125 GeV. Kohtaroh Miura (CPT, Aix-Marseille Univ. (KMI, Nagoya Univ.)) Critical Phenomena in 8-Flavor QCD
Introduction Higgs and Strong Dynamics Result Conformal/Walking Dynamics in Many-Flavor QCD Discussion Subject of Our Study Summary Higgs vs QCD-Scalar Singlet σ QCD QCD Strong Interaction Chiral SSB: SU L (3) × SU R (3) → SU V (3). ¯ MS 2 GeV (230 MeV) 3 . Order Parameter: � σ QCD � ∼ � ¯ qq � − − − − → Hadron Masses: F 2 π ∼ � σ QCD � / B 0 , M 2 π F 2 π ∼ m q � σ QCD � , etc. Composite Higgs by Strong Interaction Higgs ∼ σ QCD ∼ ¯ qq ? (c.f. M W / Z ∝ � Higgs � ) NO!, Too Small W/Z Mass: M W = gF π / 2 ≃ 29 MeV ≪ 80 GeV FF , where QCD ′ = QCD | 100MeV → 100GeV ? Higgs ∼ σ QCD ′ | ∼ ¯ NO!, Higgs becomes unstable as QCD sigma does: Higgs ∼ σ QCD ′ → ΠΠ. How we solve the problems? Many-Flavor QCD with Walking Dynamics. Kohtaroh Miura (CPT, Aix-Marseille Univ. (KMI, Nagoya Univ.)) Critical Phenomena in 8-Flavor QCD
Introduction Higgs and Strong Dynamics Result Conformal/Walking Dynamics in Many-Flavor QCD Discussion Subject of Our Study Summary Higgs vs QCD-Scalar Singlet σ QCD QCD Strong Interaction Chiral SSB: SU L (3) × SU R (3) → SU V (3). ¯ MS 2 GeV (230 MeV) 3 . Order Parameter: � σ QCD � ∼ � ¯ qq � − − − − → Hadron Masses: F 2 π ∼ � σ QCD � / B 0 , M 2 π F 2 π ∼ m q � σ QCD � , etc. Composite Higgs by Strong Interaction Higgs ∼ σ QCD ∼ ¯ qq ? (c.f. M W / Z ∝ � Higgs � ) NO!, Too Small W/Z Mass: M W = gF π / 2 ≃ 29 MeV ≪ 80 GeV FF , where QCD ′ = QCD | 100MeV → 100GeV ? Higgs ∼ σ QCD ′ | ∼ ¯ NO!, Higgs becomes unstable as QCD sigma does: Higgs ∼ σ QCD ′ → ΠΠ. How we solve the problems? Many-Flavor QCD with Walking Dynamics. Kohtaroh Miura (CPT, Aix-Marseille Univ. (KMI, Nagoya Univ.)) Critical Phenomena in 8-Flavor QCD
Introduction Higgs and Strong Dynamics Result Conformal/Walking Dynamics in Many-Flavor QCD Discussion Subject of Our Study Summary Higgs vs QCD-Scalar Singlet σ QCD QCD Strong Interaction Chiral SSB: SU L (3) × SU R (3) → SU V (3). ¯ MS 2 GeV (230 MeV) 3 . Order Parameter: � σ QCD � ∼ � ¯ qq � − − − − → Hadron Masses: F 2 π ∼ � σ QCD � / B 0 , M 2 π F 2 π ∼ m q � σ QCD � , etc. Composite Higgs by Strong Interaction Higgs ∼ σ QCD ∼ ¯ qq ? (c.f. M W / Z ∝ � Higgs � ) NO!, Too Small W/Z Mass: M W = gF π / 2 ≃ 29 MeV ≪ 80 GeV FF , where QCD ′ = QCD | 100MeV → 100GeV ? Higgs ∼ σ QCD ′ | ∼ ¯ NO!, Higgs becomes unstable as QCD sigma does: Higgs ∼ σ QCD ′ → ΠΠ. How we solve the problems? Many-Flavor QCD with Walking Dynamics. Kohtaroh Miura (CPT, Aix-Marseille Univ. (KMI, Nagoya Univ.)) Critical Phenomena in 8-Flavor QCD
Introduction Higgs and Strong Dynamics Result Conformal/Walking Dynamics in Many-Flavor QCD Discussion Subject of Our Study Summary Higgs vs QCD-Scalar Singlet σ QCD QCD Strong Interaction Chiral SSB: SU L (3) × SU R (3) → SU V (3). ¯ MS 2 GeV (230 MeV) 3 . Order Parameter: � σ QCD � ∼ � ¯ qq � − − − − → Hadron Masses: F 2 π ∼ � σ QCD � / B 0 , M 2 π F 2 π ∼ m q � σ QCD � , etc. Composite Higgs by Strong Interaction Higgs ∼ σ QCD ∼ ¯ qq ? (c.f. M W / Z ∝ � Higgs � ) NO!, Too Small W/Z Mass: M W = gF π / 2 ≃ 29 MeV ≪ 80 GeV FF , where QCD ′ = QCD | 100MeV → 100GeV ? Higgs ∼ σ QCD ′ | ∼ ¯ NO!, Higgs becomes unstable as QCD sigma does: Higgs ∼ σ QCD ′ → ΠΠ. How we solve the problems? Many-Flavor QCD with Walking Dynamics. Kohtaroh Miura (CPT, Aix-Marseille Univ. (KMI, Nagoya Univ.)) Critical Phenomena in 8-Flavor QCD
Introduction Higgs and Strong Dynamics Result Conformal/Walking Dynamics in Many-Flavor QCD Discussion Subject of Our Study Summary Higgs vs QCD-Scalar Singlet σ QCD QCD Strong Interaction Chiral SSB: SU L (3) × SU R (3) → SU V (3). ¯ MS 2 GeV (230 MeV) 3 . Order Parameter: � σ QCD � ∼ � ¯ qq � − − − − → Hadron Masses: F 2 π ∼ � σ QCD � / B 0 , M 2 π F 2 π ∼ m q � σ QCD � , etc. Composite Higgs by Strong Interaction Higgs ∼ σ QCD ∼ ¯ qq ? (c.f. M W / Z ∝ � Higgs � ) NO!, Too Small W/Z Mass: M W = gF π / 2 ≃ 29 MeV ≪ 80 GeV FF , where QCD ′ = QCD | 100MeV → 100GeV ? Higgs ∼ σ QCD ′ | ∼ ¯ NO!, Higgs becomes unstable as QCD sigma does: Higgs ∼ σ QCD ′ → ΠΠ. How we solve the problems? Many-Flavor QCD with Walking Dynamics. Kohtaroh Miura (CPT, Aix-Marseille Univ. (KMI, Nagoya Univ.)) Critical Phenomena in 8-Flavor QCD
Introduction Higgs and Strong Dynamics Result Conformal/Walking Dynamics in Many-Flavor QCD Discussion Subject of Our Study Summary Higgs vs QCD-Scalar Singlet σ QCD QCD Strong Interaction Chiral SSB: SU L (3) × SU R (3) → SU V (3). ¯ MS 2 GeV (230 MeV) 3 . Order Parameter: � σ QCD � ∼ � ¯ qq � − − − − → Hadron Masses: F 2 π ∼ � σ QCD � / B 0 , M 2 π F 2 π ∼ m q � σ QCD � , etc. Composite Higgs by Strong Interaction Higgs ∼ σ QCD ∼ ¯ qq ? (c.f. M W / Z ∝ � Higgs � ) NO!, Too Small W/Z Mass: M W = gF π / 2 ≃ 29 MeV ≪ 80 GeV FF , where QCD ′ = QCD | 100MeV → 100GeV ? Higgs ∼ σ QCD ′ | ∼ ¯ NO!, Higgs becomes unstable as QCD sigma does: Higgs ∼ σ QCD ′ → ΠΠ. How we solve the problems? Many-Flavor QCD with Walking Dynamics. Kohtaroh Miura (CPT, Aix-Marseille Univ. (KMI, Nagoya Univ.)) Critical Phenomena in 8-Flavor QCD
Introduction Higgs and Strong Dynamics Result Conformal/Walking Dynamics in Many-Flavor QCD Discussion Subject of Our Study Summary Higgs vs QCD-Scalar Singlet σ QCD QCD Strong Interaction Chiral SSB: SU L (3) × SU R (3) → SU V (3). ¯ MS 2 GeV (230 MeV) 3 . Order Parameter: � σ QCD � ∼ � ¯ qq � − − − − → Hadron Masses: F 2 π ∼ � σ QCD � / B 0 , M 2 π F 2 π ∼ m q � σ QCD � , etc. Composite Higgs by Strong Interaction Higgs ∼ σ QCD ∼ ¯ qq ? (c.f. M W / Z ∝ � Higgs � ) NO!, Too Small W/Z Mass: M W = gF π / 2 ≃ 29 MeV ≪ 80 GeV FF , where QCD ′ = QCD | 100MeV → 100GeV ? Higgs ∼ σ QCD ′ | ∼ ¯ NO!, Higgs becomes unstable as QCD sigma does: Higgs ∼ σ QCD ′ → ΠΠ. How we solve the problems? Many-Flavor QCD with Walking Dynamics. Kohtaroh Miura (CPT, Aix-Marseille Univ. (KMI, Nagoya Univ.)) Critical Phenomena in 8-Flavor QCD
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