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Basic Ideas of Technicolor Florian Divotgey Johann Wolfgang Goethe Universit at Frankfurt am Main Fachbereich Physik Institut f ur Theoretische Physik 09.05.2016 Problems of the Fundamental Higgs Is the Fundamental Higgs Necessary ?

Basic Ideas of Technicolor Florian Divotgey Johann Wolfgang Goethe Universit¨ at Frankfurt am Main Fachbereich Physik Institut f¨ ur Theoretische Physik 09.05.2016
Problems of the Fundamental Higgs Is the Fundamental Higgs Necessary ? Technicolor Conclusions Outline 1 Problems of the Fundamental Higgs 2 Is the Fundamental Higgs Necessary ? 3 Technicolor 4 Conclusions
Problems of the Fundamental Higgs
Problems of the Fundamental Higgs Is the Fundamental Higgs Necessary ? Technicolor Conclusions The SM: Lagrangian Standard Model (SM) unifies strong , electromagnetic , and weak interaction into SU (3) C × SU (2) L × U (1) Y gauge theory L SM = L ( g ) kin,int + L ( ℓ ) kin,int + L ( q ) kin,int + L ( h ) kin,int + L ( ℓ ) mass,int + L ( q ) mass,int , where kin,int = − 1 − 1 − 1 � F µν F µν � � W µν W µν � 4 B µν B µν , L ( g ) 2 Tr C 2 Tr L 3 � µ,R R A � � µ,L L A + ¯ L ( ℓ ) L A iγ µ D ( ℓ ) R A iγ µ D ( ℓ ) ¯ kin,int = , A =1 µ + ig ′ Y µ,R = ∂ µ + ig ′ Y D ( ℓ ) µ,L = ∂ µ + igT i W i D ( ℓ ) 2 B µ , 2 B µ , 3 � � � L ( q ) Q A ¯ L iγ µ D ( q ) µ,L Q A L + ¯ Q A R,u iγ µ D ( u ) µ,R Q A R,u + ¯ Q A R,d iγ µ D ( d ) µ,R Q A kin,int = , R,d A =1 µ + ig ′ Y µ + ig ′ Y D ( q ) µ,L = ∂ µ + ig C T a A a µ + igT i W i D ( u/d ) = ∂ µ + ig C T a A a 2 B µ , 2 B µ , µ,L � � † D ( h ) ,µ Φ − µ 2 Φ † Φ − λ � � 2 , D ( h ) µ + ig ′ Y L ( h ) D ( h ) Φ † Φ = ∂ µ + igT i W i kin,int = Φ 2 B µ , µ µ 3 � � L A Φ � ( ℓ ) R A + h.c. L ( ℓ ) M A ¯ mass,int = − , φ 0 A =1 3 � Φ c � Φ � L ( q ) Q A ¯ M AB ( d ) Q B R,d + ¯ Q A M AB ( u ) Q B mass,int = − R,u + h.c. . L L φ 0 φ 0 A =1
Problems of the Fundamental Higgs Is the Fundamental Higgs Necessary ? Technicolor Conclusions The SM: Lagrangian Standard Model (SM) unifies strong , electromagnetic , and weak interaction into SU (3) C × SU (2) L × U (1) Y gauge theory L SM = L ( g ) kin,int + L ( ℓ ) kin,int + L ( q ) kin,int + L ( h ) kin,int + L ( ℓ ) mass,int + L ( q ) mass,int , where kin,int = − 1 − 1 − 1 � F µν F µν � � W µν W µν � 4 B µν B µν , L ( g ) 2 Tr C 2 Tr L 3 � µ,R R A � � µ,L L A + ¯ L ( ℓ ) L A iγ µ D ( ℓ ) R A iγ µ D ( ℓ ) ¯ kin,int = , A =1 µ + ig ′ Y µ,R = ∂ µ + ig ′ Y D ( ℓ ) µ,L = ∂ µ + igT i W i D ( ℓ ) 2 B µ , 2 B µ , 3 � � � L ( q ) Q A ¯ L iγ µ D ( q ) µ,L Q A L + ¯ Q A R,u iγ µ D ( u ) µ,R Q A R,u + ¯ Q A R,d iγ µ D ( d ) µ,R Q A kin,int = , R,d A =1 µ + ig ′ Y µ + ig ′ Y D ( q ) µ,L = ∂ µ + ig C T a A a µ + igT i W i D ( u/d ) = ∂ µ + ig C T a A a 2 B µ , 2 B µ , µ,L � � † D ( h ) ,µ Φ − µ 2 Φ † Φ − λ � � 2 , D ( h ) µ + ig ′ Y L ( h ) D ( h ) Φ † Φ = ∂ µ + igT i W i kin,int = Φ 2 B µ , µ µ 3 � � L A Φ � ( ℓ ) R A + h.c. L ( ℓ ) M A ¯ mass,int = − , φ 0 A =1 3 � Φ c � Φ � L ( q ) Q A ¯ M AB ( d ) Q B R,d + ¯ Q A M AB ( u ) Q B mass,int = − R,u + h.c. . L L φ 0 φ 0 A =1
Problems of the Fundamental Higgs Is the Fundamental Higgs Necessary ? Technicolor Conclusions The SM: Lagrangian Standard Model (SM) unifies strong , electromagnetic , and weak interaction into SU (3) C × SU (2) L × U (1) Y gauge theory L SM = L ( g ) kin,int + L ( ℓ ) kin,int + L ( q ) kin,int + L ( h ) kin,int + L ( ℓ ) mass,int + L ( q ) mass,int , where kin,int = − 1 − 1 − 1 � F µν F µν � � W µν W µν � 4 B µν B µν , L ( g ) 2 Tr C 2 Tr L 3 � µ,R R A � � µ,L L A + ¯ L ( ℓ ) L A iγ µ D ( ℓ ) R A iγ µ D ( ℓ ) ¯ kin,int = , A =1 µ + ig ′ Y µ,R = ∂ µ + ig ′ Y D ( ℓ ) µ,L = ∂ µ + igT i W i D ( ℓ ) 2 B µ , 2 B µ , 3 � � � L ( q ) Q A ¯ L iγ µ D ( q ) µ,L Q A L + ¯ Q A R,u iγ µ D ( u ) µ,R Q A R,u + ¯ Q A R,d iγ µ D ( d ) µ,R Q A kin,int = , R,d A =1 µ + ig ′ Y µ + ig ′ Y D ( q ) µ,L = ∂ µ + ig C T a A a µ + igT i W i D ( u/d ) = ∂ µ + ig C T a A a 2 B µ , 2 B µ , µ,L � � † D ( h ) ,µ Φ − µ 2 Φ † Φ − λ � � 2 , D ( h ) µ + ig ′ Y L ( h ) D ( h ) Φ † Φ = ∂ µ + igT i W i kin,int = Φ 2 B µ , µ µ 3 � � L A Φ � ( ℓ ) R A + h.c. L ( ℓ ) M A ¯ mass,int = − , φ 0 A =1 3 � Φ c � Φ � L ( q ) Q A ¯ M AB ( d ) Q B R,d + ¯ Q A M AB ( u ) Q B mass,int = − R,u + h.c. . L L φ 0 φ 0 A =1
Problems of the Fundamental Higgs Is the Fundamental Higgs Necessary ? Technicolor Conclusions The SM: Lagrangian Standard Model (SM) unifies strong , electromagnetic , and weak interaction into SU (3) C × SU (2) L × U (1) Y gauge theory L SM = L ( g ) kin,int + L ( ℓ ) kin,int + L ( q ) kin,int + L ( h ) kin,int + L ( ℓ ) mass,int + L ( q ) mass,int , where kin,int = − 1 − 1 − 1 � F µν F µν � � W µν W µν � 4 B µν B µν , L ( g ) 2 Tr C 2 Tr L 3 � µ,R R A � � µ,L L A + ¯ L ( ℓ ) L A iγ µ D ( ℓ ) R A iγ µ D ( ℓ ) ¯ kin,int = , A =1 µ + ig ′ Y µ,R = ∂ µ + ig ′ Y D ( ℓ ) µ,L = ∂ µ + igT i W i D ( ℓ ) 2 B µ , 2 B µ , 3 � � � L ( q ) Q A ¯ L iγ µ D ( q ) µ,L Q A L + ¯ Q A R,u iγ µ D ( u ) µ,R Q A R,u + ¯ Q A R,d iγ µ D ( d ) µ,R Q A kin,int = , R,d A =1 µ + ig ′ Y µ + ig ′ Y D ( q ) µ,L = ∂ µ + ig C T a A a µ + igT i W i D ( u/d ) = ∂ µ + ig C T a A a 2 B µ , 2 B µ , µ,L � � † D ( h ) ,µ Φ − µ 2 Φ † Φ − λ � � 2 , D ( h ) µ + ig ′ Y L ( h ) D ( h ) Φ † Φ = ∂ µ + igT i W i kin,int = Φ 2 B µ , µ µ 3 � � L A Φ � ( ℓ ) R A + h.c. L ( ℓ ) M A ¯ mass,int = − , φ 0 A =1 3 � Φ c � Φ � L ( q ) Q A ¯ M AB ( d ) Q B R,d + ¯ Q A M AB ( u ) Q B mass,int = − R,u + h.c. . L L φ 0 φ 0 A =1
Problems of the Fundamental Higgs Is the Fundamental Higgs Necessary ? Technicolor Conclusions The SM: Lagrangian Standard Model (SM) unifies strong , electromagnetic , and weak interaction into SU (3) C × SU (2) L × U (1) Y gauge theory L SM = L ( g ) kin,int + L ( ℓ ) kin,int + L ( q ) kin,int + L ( h ) kin,int + L ( ℓ ) mass,int + L ( q ) mass,int , where kin,int = − 1 − 1 − 1 � F µν F µν � � W µν W µν � 4 B µν B µν , L ( g ) 2 Tr C 2 Tr L 3 � µ,R R A � � µ,L L A + ¯ L ( ℓ ) L A iγ µ D ( ℓ ) R A iγ µ D ( ℓ ) ¯ kin,int = , A =1 µ + ig ′ Y µ,R = ∂ µ + ig ′ Y D ( ℓ ) µ,L = ∂ µ + igT i W i D ( ℓ ) 2 B µ , 2 B µ , 3 � � � L ( q ) Q A ¯ L iγ µ D ( q ) µ,L Q A L + ¯ Q A R,u iγ µ D ( u ) µ,R Q A R,u + ¯ Q A R,d iγ µ D ( d ) µ,R Q A kin,int = , R,d A =1 µ + ig ′ Y µ + ig ′ Y D ( q ) µ,L = ∂ µ + ig C T a A a µ + igT i W i D ( u/d ) = ∂ µ + ig C T a A a 2 B µ , 2 B µ , µ,L � � † D ( h ) ,µ Φ − µ 2 Φ † Φ − λ � � 2 , D ( h ) µ + ig ′ Y L ( h ) D ( h ) Φ † Φ = ∂ µ + igT i W i kin,int = Φ 2 B µ , µ µ 3 � � L A Φ � ( ℓ ) R A + h.c. L ( ℓ ) M A ¯ mass,int = − , φ 0 A =1 3 � Φ c � Φ � L ( q ) Q A ¯ M AB ( d ) Q B R,d + ¯ Q A M AB ( u ) Q B mass,int = − R,u + h.c. . L L φ 0 φ 0 A =1
Problems of the Fundamental Higgs Is the Fundamental Higgs Necessary ? Technicolor Conclusions The SM: Lagrangian Standard Model (SM) unifies strong , electromagnetic , and weak interaction into SU (3) C × SU (2) L × U (1) Y gauge theory L SM = L ( g ) kin,int + L ( ℓ ) kin,int + L ( q ) kin,int + L ( h ) kin,int + L ( ℓ ) mass,int + L ( q ) mass,int , where kin,int = − 1 − 1 − 1 � F µν F µν � � W µν W µν � 4 B µν B µν , L ( g ) 2 Tr C 2 Tr L 3 � µ,R R A � � µ,L L A + ¯ L ( ℓ ) L A iγ µ D ( ℓ ) R A iγ µ D ( ℓ ) ¯ kin,int = , A =1 µ + ig ′ Y µ,R = ∂ µ + ig ′ Y D ( ℓ ) µ,L = ∂ µ + igT i W i D ( ℓ ) 2 B µ , 2 B µ , 3 � � � L ( q ) Q A ¯ L iγ µ D ( q ) µ,L Q A L + ¯ Q A R,u iγ µ D ( u ) µ,R Q A R,u + ¯ Q A R,d iγ µ D ( d ) µ,R Q A kin,int = , R,d A =1 µ + ig ′ Y µ + ig ′ Y D ( q ) µ,L = ∂ µ + ig C T a A a µ + igT i W i D ( u/d ) = ∂ µ + ig C T a A a 2 B µ , 2 B µ , µ,L � � † D ( h ) ,µ Φ − µ 2 Φ † Φ − λ � � 2 , D ( h ) µ + ig ′ Y L ( h ) D ( h ) Φ † Φ = ∂ µ + igT i W i kin,int = Φ 2 B µ , µ µ 3 � � L A Φ � ( ℓ ) R A + h.c. L ( ℓ ) M A ¯ mass,int = − , φ 0 A =1 3 � Φ c � Φ � L ( q ) Q A ¯ M AB ( d ) Q B R,d + ¯ Q A M AB ( u ) Q B mass,int = − R,u + h.c. . L L φ 0 φ 0 A =1

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