Minimal Walking Technicolor
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- Jerome Bryant
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1 Dark Matter and LHC Phenomenology University of Oxford CP3-Origins, May 6 th 2010 m.frandsen1@physics.ox.ac.uk
2 Outline 1 Technicolor and Technibaryon Dark Matter 2 3
3 In collaboration with: Alexander Belyaev (Southampton U.), oshan Foadi (Michigan State U.), Matti Ja rvinen (CP3-Origins), Isabella Masina (Ferrara U) Alexander Pukhov (Moscow State U.), Francesco Sannino (CP3-Origins), Subir Sarkar (Oxford U.) Alexander Sherstnev (Oxford U.). ArXiv:1005.XXXX A. Belyaev, M.T.F and A. Sherstnev
4 XENON100 release during Mass 2010
5 The origin of bright and dark mass
6 Bright and Dark connection? v weak 246GeV
7 Bright and Dark connection? v weak 246GeV σ ann v rel α2 W 1TeV 2
8 Bright and Dark connection? v weak 246GeV σ ann v rel α2 W 1TeV 2 Ω DM /Ω B 5
9 Bright and Dark connection? v weak 246GeV σ ann v rel α2 W 1TeV 2 Ω DM /Ω B 5 The baryonic relic density is not of thermal origin!
10 Bright and Dark connection? v weak 246GeV σ ann v rel α2 W 1TeV 2 Ω DM /Ω B 5 The baryonic mass is not (mainly) due to Higgs interactions! The baryonic relic density is not of thermal origin!
11 Bright and Dark connection? v weak 246GeV σ ann v rel α2 W 1TeV 2 Ω DM /Ω B 5 The baryonic mass is not (mainly) due to Higgs interactions! The baryonic relic density is not of thermal origin! Is the origin of mass dynamical?
12 Bright and Dark connection? v weak 246GeV σ ann v rel α2 W 1TeV 2 Ω DM /Ω B 5 The baryonic mass is not (mainly) due to Higgs interactions! The baryonic relic density is not of thermal origin! Is the origin of mass dynamical? Can we test a dynamical origin of mass in the lab?
13 Technicolor Technicolor: (Weinberg 78, Susskind 78) 1 In the SM without a Higgs, QCD breaks the EW symmetry: ū L u + d L d 0 M W = gf π 2. 2 Consider a new strongly interacting gauge theory with F TC Π = v EW = 246GeV. 3 Let the electroweak gauge group be a subgroup of the chiral symmetry group.
14 Technicolor Technicolor: (Weinberg 78, Susskind 78) 1 In the SM without a Higgs, QCD breaks the EW symmetry: ū L u + d L d 0 M W = gf π 2. 2 Consider a new strongly interacting gauge theory with F TC Π = v EW = 246GeV. 3 Let the electroweak gauge group be a subgroup of the chiral symmetry group. Example: Scaled-up QCD!
15 Technicolor 1 The SM gauge group is augmented: G SM SU(3) c SU(2) W U(1) Y G TC.
16 Technicolor 1 The SM gauge group is augmented: G SM SU(3) c SU(2) W U(1) Y G TC. 2 The Higgs sector of the SM is replaced: L Higgs 1 4 F a µν F aµν + i Q L γ µ D µ Q L + i Q γ µ D µ Q +...
17 Technicolor 1 The SM gauge group is augmented: G SM SU(3) c SU(2) W U(1) Y G TC. 2 The Higgs sector of the SM is replaced: L Higgs 1 4 F a µν F aµν + i Q L γ µ D µ Q L + i Q γ µ D µ Q +... Minimal chiral symmetries: 3 GB s + Custodial + DM. SU L (2) SU (2) U TB (1) SU V (2) U TB (1).
18 Technicolor dark matter Technocosmology (Nussinov 85) Lightest Technibaryon as Asymmetric Dark Matter
19 Technicolor dark matter Technocosmology (Nussinov 85) Lightest Technibaryon as Asymmetric Dark Matter The LTB abundance: Ω TB /Ω B = m TB /m B n TB /n B
20 Technicolor dark matter Technocosmology (Nussinov 85) Lightest Technibaryon as Asymmetric Dark Matter The LTB abundance: From initial n B n TB : Ω TB /Ω B = m TB /m B n TB /n B Ω TB /Ω B m TB /m B (m TB /T sphaleron ) 3/2 e m TB/T sphaleron T sphaleron v EW, (Chivukula and Walker 90; Bahr, Chivukula and Farhi 90; Harvey and Turner 90; Ellis et al 95; Sarkar 95; Gudnason, Kouvaris and Sannino 05)
21 Technicolor dark matter Technocosmology (Nussinov 85) Lightest Technibaryon as Asymmetric Dark Matter The LTB abundance: From initial n B n TB : Ω TB /Ω B = m TB /m B n TB /n B Ω TB /Ω B m TB /m B (m TB /T sphaleron ) 3/2 e m TB/T sphaleron T sphaleron v EW, M TB TeV (Chivukula and Walker 90; Bahr, Chivukula and Farhi 90; Harvey and Turner 90; Ellis et al 95; Sarkar 95; Gudnason, Kouvaris and Sannino 05)
22 Technicolor dark matter Technocosmology (Nussinov 85) Lightest Technibaryon as Asymmetric Dark Matter The LTB abundance: From initial n B n TB : Ω TB /Ω B = m TB /m B n TB /n B Ω TB /Ω B m TB /m B (m TB /T sphaleron ) 3/2 e m TB/T sphaleron T sphaleron v EW, M TB TeV (Chivukula and Walker 90; Bahr, Chivukula and Farhi 90; Harvey and Turner 90; Ellis et al 95; Sarkar 95; Gudnason, Kouvaris and Sannino 05) Or Dark Baryon with m TB 5 10GeV? (D.B.Kaplan 92; An, Chen, Mohapatra and Zhang 09; D.E.Kaplan, Luty and Zurek 09; Fitzpatrick, Zurek and Hooper 10; M.T.F and Sarkar 10)
23 Extended Technicolor and fermion masses ETC ETC: (Eichten and Lane 80) New gauge theory with SM and TC fermions in the same multiplet. ψ L, QL Q L Q ψ,q 1 Four fermion operators: QQ QQ α Λ 2 ETC QQ ψψ + β + γ Λ 2 ETC ψψ ψψ Λ 2 ETC +...
24 Extended Technicolor and fermion masses ETC ETC: (Eichten and Lane 80) New gauge theory with SM and TC fermions in the same multiplet. 1 Four fermion operators: ψ L, QL Q L Q ψ,q QQ QQ α Λ 2 ETC Fermion masses: QQ ψψ + β + γ Λ 2 ETC ψψ ψψ Λ 2 ETC +... M ψ QQ ETC Λ 2 ETC d( TC ) Λ3 γ Λ γ ETC Λ 2 ETC (Holdom 81, 85; Yamawaki, Bando and Matumoto 86; Appelquist, Karabali and Wijewardhana 86; Hill and Simmons 02)
25 Extended Technicolor and fermion masses ETC ETC: (Eichten and Lane 80) New gauge theory with SM and TC fermions in the same multiplet. ψ L, QL Q L Q ψ,q 1 Four fermion operators: QQ QQ α Λ 2 ETC QQ ψψ + β + γ Λ 2 ETC ψψ ψψ Λ 2 ETC (Too!) Naively Λ ETC > 10 3 TeV to suppress FCNC s: (King 89; Evans and oss 94; Appelquist and Shrock 02; Evans and Sannino 05; Christensen, Piai and Shrock 06)
26 Extended Technicolor and fermion masses ETC ETC: (Eichten and Lane 80) New gauge theory with SM and TC fermions in the same multiplet. ψ L, QL Q L Q ψ,q 1 Four fermion operators: QQ QQ α Λ 2 ETC QQ ψψ + β + γ Λ 2 ETC ψψ ψψ Λ 2 ETC (Too!) Naively Λ ETC > 10 3 TeV to suppress FCNC s: (King 89; Evans and oss 94; Appelquist and Shrock 02; Evans and Sannino 05; Christensen, Piai and Shrock 06) 3 Focus on Technicolor sector
27 Constraints from LEP 1 A minimal matter content in the TC sector is favored: S 16πΠ W 3 B (0), T 4π s 2 W c2 W M2 Z (Π W 1 W 1(0) Π W 3 W 3(0)) Q, L W 3 B U 0 m t = ± 2.1 GeV m H = GeV m W prel. T 0 Γ ll S naive = N D d( TC ) 6π sin 2 θ lept eff m H m t 68 % CL S (Kennedy and Lynn 89; Peskin and Takeuchi 90; Altarelli and Barbieri 91)
28 Minimal Technicolor Theory Space Minimal Technicolor: 2 Dirac Flavors. No QCD charges. ( ) Q L = U +1/2 L,D 1/2 T +1/2 L, U, D 1/2.
29 Minimal Technicolor Theory Space Minimal Technicolor: 2 Dirac Flavors. No QCD charges. ( ) Q L = U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. Orthogonal TC QCD TC Symplectic TC
30 Minimal Technicolor Theory Space Minimal Technicolor: 2 Dirac Flavors. No QCD charges. ( ) Q L = U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. Orthogonal TC real QCD TC complex Symplectic TC pseudo-real
31 Minimal Technicolor Theory Space Minimal Technicolor: 2 Dirac Flavors. No QCD charges. ( ) Q L = U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. Orthogonal TC real F of SO(N) QCD TC complex F of SU(N) Symplectic TC pseudo-real F of Sp(2N)
32 Minimal Technicolor Theory Space Minimal Technicolor: 2 Dirac Flavors. No QCD charges. ( ) Q L = U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. Orthogonal TC real F of SO(N) SU(4)/SO(4) QCD TC complex F of SU(N) G GB : SU(2) Symplectic TC pseudo-real F of Sp(2N) SU(4)/Sp(4)
33 Minimal Technicolor Theory Space Minimal Technicolor: 2 Dirac Flavors. No QCD charges. ( ) Q L = U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. Orthogonal TC real F of SO(N) SU(4)/SO(4) 3 Π 3 3 QCD TC complex F of SU(N) G GB : SU(2) 3 Π Symplectic TC pseudo-real F of Sp(2N) SU(4)/Sp(4) 3 Π 1 1
34 Minimal Technicolor Theory Space Minimal Technicolor: 2 Dirac Flavors. No QCD charges. ( ) Q L = U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. Orthogonal TC real F of SO(N) SU(4)/SO(4) 3 Π 3 3 ( ) Π Ti T i Π T QCD TC complex F of SU(N) G GB : SU(2) 3 Π ( Π 0 Π Π = + ) Π Π 0 Symplectic TC pseudo-real F of Sp(2N) SU(4)/Sp(4) 3 Π 1 1 ( ) Π Ts Ts Π T
35 Minimal Technicolor Theory Space Minimal Technicolor: 2 Dirac Flavors. No QCD charges. ( ) Q L = U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. Orthogonal TC real F of SO(N) SU(4)/SO(4) 3 Π 3 3 ( ) Π Ti T i Π T ( T 0 T T i = + ) T T 0 QCD TC complex F of SU(N) G GB : SU(2) 3 Π ( Π 0 Π Π = + ) Π Π 0 Symplectic TC T s = pseudo-real F of Sp(2N) SU(4)/Sp(4) 3 Π 1 1 ( ) Π Ts T s Π T ( ) T T 0
36 Dark Matter from Minimal Technicolor TIMP: Complex scalar, charged under the U(1) TB symmetry Q L = ( ) U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. (1)
37 Dark Matter from Minimal Technicolor TIMP: Complex scalar, charged under the U(1) TB symmetry Q L = ( ) U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. (1) itimp TIMP TIMP (M.T.F and F.Sannino 09) (Bahr, Chivukula and Farhi 90; Nussinov 92) (yttov and Sannino 08; Foadi, M.T.F and Sannino 09)
38 Dark Matter from Minimal Technicolor TIMP: Complex scalar, charged under the U(1) TB symmetry Q L = ( ) U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. (1) itimp TIMP 4 of SU(4) TIMP (M.T.F and F.Sannino 09) (Bahr, Chivukula and Farhi 90; Nussinov 92) (yttov and Sannino 08; Foadi, M.T.F and Sannino 09)
39 Dark Matter from Minimal Technicolor TIMP: Complex scalar, charged under the U(1) TB symmetry Q L = ( ) U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. (1) itimp TIMP 4 of SU(4) U L D L U L D L TIMP (M.T.F and F.Sannino 09) (Bahr, Chivukula and Farhi 90; Nussinov 92) (yttov and Sannino 08; Foadi, M.T.F and Sannino 09)
40 Dark Matter from Minimal Technicolor TIMP: Complex scalar, charged under the U(1) TB symmetry Q L = ( ) U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. (1) itimp TIMP 4 of SU(4) U L D L U L D L SM singlet TIMP (M.T.F and F.Sannino 09) (Bahr, Chivukula and Farhi 90; Nussinov 92) (yttov and Sannino 08; Foadi, M.T.F and Sannino 09)
41 Dark Matter from Minimal Technicolor TIMP: Complex scalar, charged under the U(1) TB symmetry Q L = ( ) U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. (1) itimp (M.T.F and F.Sannino 09) TIMP 4 of SU(4) U L D L U L D L SM singlet M T N 3/2 TC F Π (Bahr, Chivukula and Farhi 90; Nussinov 92) TIMP (yttov and Sannino 08; Foadi, M.T.F and Sannino 09)
42 Dark Matter from Minimal Technicolor TIMP: Complex scalar, charged under the U(1) TB symmetry Q L = ( ) U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. (1) itimp (M.T.F and F.Sannino 09) TIMP 4 of SU(4) U L D L U L D L SM singlet M T N 3/2 TC F Π (Bahr, Chivukula and Farhi 90; Nussinov 92) TIMP (yttov and Sannino 08; Foadi, M.T.F and Sannino 09)
43 Dark Matter from Minimal Technicolor TIMP: Complex scalar, charged under the U(1) TB symmetry Q L = ( ) U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. (1) itimp real (M.T.F and F.Sannino 09) TIMP 4 of SU(4) U L D L U L D L SM singlet M T N 3/2 TC F Π (Bahr, Chivukula and Farhi 90; Nussinov 92) TIMP pseudo-real (yttov and Sannino 08; Foadi, M.T.F and Sannino 09)
44 Dark Matter from Minimal Technicolor TIMP: Complex scalar, charged under the U(1) TB symmetry Q L = ( ) U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. (1) itimp real T 0 U L D L (M.T.F and F.Sannino 09) TIMP 4 of SU(4) U L D L U L D L SM singlet M T N 3/2 TC F Π (Bahr, Chivukula and Farhi 90; Nussinov 92) TIMP pseudo-real T 0 U L D L (yttov and Sannino 08; Foadi, M.T.F and Sannino 09)
45 Dark Matter from Minimal Technicolor TIMP: Complex scalar, charged under the U(1) TB symmetry Q L = ( ) U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. (1) itimp real T 0 U L D L Iso-singlet GB (M.T.F and F.Sannino 09) TIMP 4 of SU(4) U L D L U L D L SM singlet M T N 3/2 TC F Π (Bahr, Chivukula and Farhi 90; Nussinov 92) TIMP pseudo-real T 0 U L D L SM singlet GB (yttov and Sannino 08; Foadi, M.T.F and Sannino 09)
46 Dark Matter from Minimal Technicolor TIMP: Complex scalar, charged under the U(1) TB symmetry Q L = ( ) U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. (1) itimp real T 0 U L D L Iso-singlet GB M T 0 g F Π (M.T.F and F.Sannino 09) TIMP 4 of SU(4) U L D L U L D L SM singlet M T N 3/2 TC F Π (Bahr, Chivukula and Farhi 90; Nussinov 92) TIMP pseudo-real T 0 U L D L SM singlet GB M 2 T 0 g 2 F 2 Π (yttov and Sannino 08; Foadi, M.T.F and Sannino 09)
47 Dark Matter from Minimal Technicolor TIMP: Complex scalar, charged under the U(1) TB symmetry Q L = ( ) U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. (1) itimp real T 0 U L D L Iso-singlet GB M T 0 g F Π TIMP 4 of SU(4) U L D L U L D L SM singlet M T N 3/2 TC F Π TIMP pseudo-real T 0 U L D L SM singlet GB M 2 T 0 g 2 F 2 Π (M.T.F and F.Sannino 09) (Bahr, Chivukula and Farhi 90; Nussinov 92) (yttov and Sannino 08; Foadi, M.T.F and Sannino 09) (Other candidates in MWT: Gudnason, Kouvaris and Sannino 05; Kainulainen, Virkajärvi and Tuominen 06, 09, 10; Kouvaris 07; Khlopov and Kouvaris 08)
48 Comment on TC vs ETC for itimps Mass/Vacuum alignment from EW + ETC (Dietrich and Järvinen 09; M.T.F and Sannino 09; Preskill 80; Peskin 80)
49 Comment on TC vs ETC for itimps Mass/Vacuum alignment from EW + ETC (Dietrich and Järvinen 09; M.T.F and Sannino 09; Preskill 80; Peskin 80) Orthogonal TC (in principle!) consistent in the absence of ETC M T 0 g F Π M T ± (g + g )F Π from EW only!
50 Comment on TC vs ETC for itimps Mass/Vacuum alignment from EW + ETC (Dietrich and Järvinen 09; M.T.F and Sannino 09; Preskill 80; Peskin 80) Orthogonal TC (in principle!) consistent in the absence of ETC M T 0 g F Π M T ± (g + g )F Π from EW only! Symplectic TC tied to ETC MT 2 g 2 F 2 0 Π + M2 ETC
51 Comment on TC vs ETC for itimps Mass/Vacuum alignment from EW + ETC (Dietrich and Järvinen 09; M.T.F and Sannino 09; Preskill 80; Peskin 80) Orthogonal TC (in principle!) consistent in the absence of ETC M T 0 g F Π M T ± (g + g )F Π from EW only! Symplectic TC tied to ETC MT 2 g 2 F 2 0 Π + M2 ETC Lower bound on MT 2 lower bounds on M 2 0 ETC (Belyaev, Foadi, M.T.F, Sannino and Sarkar to appear)
52 Direct detection Charge radius L B = ie d B Λ 2 T µ T ν F µν. (Bagnasco, Dine and Thomas 93) T T T T Composite Higgs L H = d H v ev T TH. γ H (Foadi, M.T.F and Sannino 09) N N N N
53 Direct detection Charge radius L B = ie d B Λ 2 T µ T ν F µν. (Bagnasco, Dine and Thomas 93) T T T T Composite Higgs L H = d H v ev T TH. γ H (Foadi, M.T.F and Sannino 09) W exchange for itimps N N N N (M.T.F and Sannino 09) T T ± T T W W W N N N N
54 Direct detection Charge radius L B = ie d B Λ 2 T µ T ν F µν. (Bagnasco, Dine and Thomas 93) T T T T Composite Higgs L H = d H v ev T TH. γ H (Foadi, M.T.F and Sannino 09) W exchange for itimps N N N N (M.T.F and Sannino 09) For colored baryons: Gluonic polarizabilities (Nussinov 92 ; Chivukula et al 92) T T ± T T For spin-1/2 baryons: Dipole moments (Nussinov 92 ; Bagnasco, Dine and Thomas 93) N W N N W W N
55 Direct Detection Limits on itimps Σn cm H Γ W CDMS Si CDMS Ge XENON MT GeV (M.T.F and Sannino 09; Foadi, M.T.F and Sannino 09; Exclusion limits courtesy of C. Mccabe 10)
56 Direct Detection Limits on itimps Σn cm H Γ W CDMS Si CDMS Ge XENON MT GeV (M.T.F and Sannino 09; Foadi, M.T.F and Sannino 09; Exclusion limits courtesy of C. Mccabe 10) Indirect detection of Decaying Dark Matter: (Nardi, Sannino and Strumia 09)
57 Direct Detection Limits on a Dark Baryon H CoGeNT ΣΧ N cm CDMS Si CDMS Ge XENON mχ GeV (M.T.F and Sarkar; Exclusion limits courtesy of C. Mccabe and M. Mccullough)
58 LHC signatures of (i)timps q Z, 1,2 H T T (i)timp Invisible Higgs (Foadi, M.T.F and Sannino 08 ; Godbole, Guchait, Mazumdar, Moretti and oy 03). q Z l + l
59 LHC signatures of (i)timps q Z, 1,2 H T T (i)timp Invisible Higgs (Foadi, M.T.F and Sannino 08 ; Godbole, Guchait, Mazumdar, Moretti and oy 03). q Z l + l itimp Antlers q W ± (M.T.F and Sannino 09 ; Han, Kim and Song 09) T Z, ± 1,2 T 0 q T ± W T 0
60 LHC signatures of (i)timps q Z, 1,2 H T T (i)timp Invisible Higgs (Foadi, M.T.F and Sannino 08 ; Godbole, Guchait, Mazumdar, Moretti and oy 03). itimp Antlers (M.T.F and Sannino 09 ; Han, Kim and Song 09) q q q Z T Z, ± 1,2 Note: The same signatures from a new stable heavy lepton! (M.T.F, Masina and Sannino 09 ; Antipin, Heikinheimo, Tuominen 09) T ± W ± W l + l T 0 T 0
61 Walking Technicolor 1 TC sector: Walking reduces the full S-parameter (Sundrum and Hsu 92; Appelquist and Sannino 98; Harada, Kurachi and Yamawaki 03; Kurachi and Shrock 06)
62 Walking Technicolor 1 TC sector: Walking reduces the full S-parameter (Sundrum and Hsu 92; Appelquist and Sannino 98; Harada, Kurachi and Yamawaki 03; Kurachi and Shrock 06) 2 ETC sector: Walking reduces tension between SM fermion masses and FCNC s (Holdom 81, 85; Yamawaki, Bando and Matumoto 86; Appelquist, Karabali and Wijewardhana 86)
63 Conformal window and Walking (Fig:Sannino, cp3-origins 09)
64 ETC fermion masses and Walking 1 Four fermion operators: α QQ QQ Λ 2 ETC QQ ψψ ψψ ψψ + β Λ 2 + γ ETC Λ ETC
65 ETC fermion masses and Walking 1 Four fermion operators: α QQ QQ Λ 2 ETC 2 Fermion masses: QQ ψψ ψψ ψψ + β Λ 2 + γ ETC Λ ETC M ψ QQ ETC Λ 2 ETC d( TC ) Λ3 γ Λ γ ETC Λ 2 ETC
66 ETC fermion masses and Walking 1 Four fermion operators: α QQ QQ Λ 2 ETC 2 Fermion masses: QQ ψψ ψψ ψψ + β Λ 2 + γ ETC Λ ETC M ψ QQ ETC Λ 2 ETC d( TC ) Λ3 γ Λ γ ETC Λ 2 ETC 3 Condensate enhancement from Walking: < QQ > ETC ( Λ ETC Λ TC ) γ(α ) < QQ > TC (Holdom 81, 85; Yamawaki, Bando and Matumoto 86; Appelquist, Karabali and Wijewardhana 86)
67 ETC fermion masses and Walking 1 Four fermion operators: α QQ QQ Λ 2 ETC 2 Fermion masses: QQ ψψ ψψ ψψ + β Λ 2 + γ ETC Λ ETC M ψ QQ ETC Λ 2 ETC d( TC ) Λ3 γ Λ γ ETC Λ 2 ETC 3 Condensate enhancement from Walking: < QQ > ETC ( Λ ETC Λ TC ) γ(α ) < QQ > TC (Holdom 81, 85; Yamawaki, Bando and Matumoto 86; Appelquist, Karabali and Wijewardhana 86) 4 (Too) Naively Λ ETC > 10 3 TeV to suppress FCNC s: (King 89; Evans and oss 94; Appelquist and Shrock 02; Evans and Sannino 05; Christensen, Piai and Shrock 06)
68 Which gauge theories display walking? 3C 2 (), α 4π = β 0 β 1. (Appelquist, Lane and Muhanta 88; Cohen and Georgi 89; Sannino and 1 Ladder approximation: α c = π Tuominen 04; Dietrich and Sannino 06; yttov and Sannino 07) 2 All-orders beta function conjecture(s) (yttov and Sannino 08; Antipin and Tuominen 09; Dietrich 09) 3 Dualities (Sannino 09) 4 Compactification approach (Unsal and Poppitz 09; Ogilvie and Myers 09;) 5 Worldline formalism (Armoni 09) 6 Holography (Hong and Yee 06; Alvares, Evans, Gebauer and Weatherill 09)
69 Orthogonal Minimal Technicolor Q L = ( ) U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. (2)
70 Orthogonal Minimal Technicolor Q L = ( ) U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. (2) MWT model: (Sannino and Tuominen 04) G TC = SU(2). = Adj. Leptons. (Dietrich, Sannino and Tuominen 05)
71 Orthogonal Minimal Technicolor Q L = ( ) U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. (2) MWT model: (Sannino and Tuominen 04) G TC = SO(3). = F. Leptons. (Dietrich, Sannino and Tuominen 05)
72 Orthogonal Minimal Technicolor Q L = ( ) U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. (2) MWT model: (Sannino and Tuominen 04) G TC = SO(3). = F. Leptons. (Dietrich, Sannino and Tuominen 05) 10 8 A.F N TF 6 4 S.D B.F &Γ 1 B.F &Γ 2 2 MWT N TC
73 Orthogonal Minimal Technicolor Q L = ( ) U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. (2) OMT model: (Sannino and Frandsen 09) G TC = SO(4). = F. itimp 10 8 A.F N TF 6 4 S.D B.F &Γ 1 B.F &Γ 2 2 MWT OMT N TC
74 Orthogonal Minimal Technicolor Q L = ( ) U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. (2) OMT model: (Sannino and Frandsen 09) G TC = SO(4). = F. itimp 10 8 One Family A.F N TF 6 4 S.D B.F &Γ 1 B.F &Γ 2 2 MWT OMT N TC
75 Minimal Models of Walking Technicolor Q L = ( ) U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. (3)
76 Minimal Models of Walking Technicolor Q L = ( ) U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. (3) MWT model: (Sannino and Tuominen 04) G TC = SU(2). = Adj. Leptons. (Dietrich, Sannino and Tuominen 05)
77 Minimal Models of Walking Technicolor Q L = ( ) U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. (3) MWT model: (Sannino and Tuominen 04) G TC = SU(2). = Adj. Leptons. (Dietrich, Sannino and Tuominen 05) OMT model G TC = SO(4) NMWT model G TC = SU(3) UMT model G TC = SU(2) (M.T.F and F.Sannino 09) (Sannino and Tuominen 04) (yttov and Sannino 08)
78 Minimal Models of Walking Technicolor Q L = ( ) U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. (3) MWT model: (Sannino and Tuominen 04) G TC = SU(2). = Adj. Leptons. (Dietrich, Sannino and Tuominen 05) OMT model G TC = SO(4) = F (M.T.F and F.Sannino 09) NMWT model G TC = SU(3) = 2S (Sannino and Tuominen 04) UMT model G TC = SU(2) = F,Adj (yttov and Sannino 08)
79 Minimal Models of Walking Technicolor Q L = ( ) U +1/2 L,D 1/2 T +1/2 L, U, D 1/2. (3) MWT model: (Sannino and Tuominen 04) G TC = SU(2). = Adj. Leptons. (Dietrich, Sannino and Tuominen 05) OMT model G TC = SO(4) = F itimp (M.T.F and F.Sannino 09) NMWT model G TC = SU(3) = 2S (Sannino and Tuominen 04) UMT model G TC = SU(2) = F,Adj TIMP (yttov and Sannino 08)
80 Lattice simulations (Dedicated collaborations: Lattice Strong Dynamics (US) ; Strong BSM (EU) )
81 EFT for MWT LHC common sector: SU L (2) SU (2) U TB (1) SU V (2) U TB (1). 1 New states: ±,0 1, ±,0 2, H. itimpsor TIMP 2 Input parameters and constraints: 3 Main free parameters: e, G F, M Z ; S, Sum ules. M A, g, M H. (Foadi, M.T.F, yttov and Sannino 07; Belyaev, Foadi, M.T.F, Järvinen, Pukhov, Sannino 08)
82 Parameter space (Foadi, M.T.F and Sannino 07 ; Belyaev, Foadi, M.T.F, Järvinen, Pukhov, Sannino 08)
83 Towards no-lose for LHC Phenomenology controlled by g/ g and masses.
84 Towards no-lose for LHC Phenomenology controlled by g/ g and masses. Different channels probe 1, 2 and H independently
85 Towards no-lose for LHC Phenomenology controlled by g/ g and masses. Different channels probe 1, 2 and H independently Production
86 Towards no-lose for LHC Phenomenology controlled by g/ g and masses. Different channels probe 1, 2 and H independently Production Drell-Yan: pp 0± 1,2
87 Towards no-lose for LHC Phenomenology controlled by g/ g and masses. Different channels probe 1, 2 and H independently Production Drell-Yan: pp 0± 1,2 Vector Boson Fusion pp 0± 1,2 /H jj
88 Towards no-lose for LHC Phenomenology controlled by g/ g and masses. Different channels probe 1, 2 and H independently Production Drell-Yan: pp 0± 1,2 Vector Boson Fusion pp 0± 1,2 /H jj Decays
89 Towards no-lose for LHC Phenomenology controlled by g/ g and masses. Different channels probe 1, 2 and H independently Production Drell-Yan: pp 0± 1,2 Vector Boson Fusion pp 0± 1,2 /H jj Decays Di-lepton: 0 1,2 l+ l
90 Towards no-lose for LHC Phenomenology controlled by g/ g and masses. Different channels probe 1, 2 and H independently Production Drell-Yan: pp 0± 1,2 Vector Boson Fusion pp 0± 1,2 /H jj Decays Di-lepton: 0 1,2 l+ l tb: ± 1,2 tb
91 Towards no-lose for LHC Phenomenology controlled by g/ g and masses. Different channels probe 1, 2 and H independently Production Drell-Yan: pp 0± 1,2 Vector Boson Fusion pp 0± 1,2 /H jj Decays Di-lepton: 0 1,2 l+ l tb: ± 1,2 tb Di-boson: ± 1,2 ZW ±
92 Towards no-lose for LHC Phenomenology controlled by g/ g and masses. Different channels probe 1, 2 and H independently Production Drell-Yan: pp 0± 1,2 Vector Boson Fusion pp 0± 1,2 /H jj Decays Di-lepton: 0 1,2 l+ l tb: ± 1,2 tb Di-boson: ± 1,2 ZW ± Higgs-Strahlung: 1,2 HZ ZWW
93 Towards no-lose for LHC Phenomenology controlled by g/ g and masses. Different channels probe 1, 2 and H independently Production Drell-Yan: pp 0± 1,2 Vector Boson Fusion pp 0± 1,2 /H jj Decays Di-lepton: 0 1,2 l+ l tb: ± 1,2 tb Di-boson: ± 1,2 ZW ± Higgs-Strahlung: 1,2 HZ ZWW Invisible Decays
94 Towards no-lose for LHC Phenomenology controlled by g/ g and masses. Different channels probe 1, 2 and H independently Production Drell-Yan: pp 0± 1,2 Vector Boson Fusion pp 0± 1,2 /H jj Decays Di-lepton: 0 1,2 l+ l tb: ± 1,2 tb Di-boson: ± 1,2 ZW ± Higgs-Strahlung: 1,2 HZ ZWW Invisible Decays Invisible composite Higgs: H TT, 1,2 TT + WWT 0 T 0
95 Implementation status (N)MWT, UMT and OMT models in: LanHEP (A.Semenov) Feynules (C.Duhr et al) CalcHEP (A.Pukhov) and CompHEP (E.BOOS et al) LHE output available for HEWIG/PYTHIA/SHEPA/...
96 Implementation status (N)MWT, UMT and OMT models in: LanHEP (A.Semenov) Feynules (C.Duhr et al) CalcHEP (A.Pukhov) and CompHEP (E.BOOS et al) LHE output available for HEWIG/PYTHIA/SHEPA/... Here I Focus on di-lepton and tb final states + (i)timps
97 Implementation status (N)MWT, UMT and OMT models in: LanHEP (A.Semenov) Feynules (C.Duhr et al) CalcHEP (A.Pukhov) and CompHEP (E.BOOS et al) LHE output available for HEWIG/PYTHIA/SHEPA/... Here I Focus on di-lepton and tb final states + (i)timps See M. Järvinen s talk for more complete study We use ThePEG/HEWIG++ (Lönnblad/Bahr et al) DELPHES for Fast Detector Simulation (Ovyn and ouby)
98 Vector mass spectrum Mass Spectrum (TeV) ± 2, ±,0 S=0.3 g = M A (TeV) Mass Spectrum (TeV) ± 2, ±,0 S=0.3 g = M A (TeV) Figure: 1,2 spectrum. (Belyaev, Foadi, M.T.F, Järvinen, Pukhov, Sannino 08)
99 Vector Production σ(pb) 10 2 σ(pb) ± ± ± 2 ± S=0.3 g = S=0.3 g = Mass (TeV) Mass (TeV) Figure: DY production of 1,2. (Belyaev, Foadi, M.T.F, Järvinen, Pukhov, Sannino 08)
100 Vector Bs B( ± 1) ff nl tb W ± Z B( ± 1) ff nl W ± H tb 10-3 W ± H 10-3 W ± Z S= S=0.3 g = Mass (TeV) g = Mass (TeV) Figure: B s of 1. (Belyaev, Foadi, M.T.F, Järvinen, Pukhov, Sannino 08)
101 l + l LHC using CalcHEP Number of events/ fb S=0.3 g = M ll (GeV) Figure: Dilepton invariant mass distribution M ll for pp 0 1,2 l+ l (Belyaev, Foadi, M.T.F, Järvinen, Pukhov, Sannino 08)
102 l + l LHC using HEWIG/DELPHES d σ d M 2µ pp µ + µ - (TC, ~ g=2.0) pp µ + µ - (SM) + pp tt µ µ - +X (SM) d σ d M 2µ M 2µ, GeV M 2µ, GeV Figure: Dilepton invariant mass distribution M µµ for pp 0 1,2 l+ l. M A = 1 TeV, g = 2, S = 0.3. Additional Cuts: M µµ > 500GeV and j = 1. (A. Belyaev, M.T.F and A.Sherstnev in preparation)
103 l + l LHC using HEWIG/DELPHES d σ d M 2µ 0.6 pp µ + µ - (TC, ~ g=3.5) 0.5 pp µ + µ - (SM) + pp tt µ µ - +X (SM) d σ d M 2µ M 2µ, GeV M 2µ, GeV Figure: Dilepton invariant mass distribution M µµ for pp 0 1,2 l+ l. M A = 1 TeV, g = 3.5, S = 0.3. Additional Cuts: M µµ > 500GeV and j = 1. (A. Belyaev, M.T.F and A.Sherstnev in preparation)
104 Parton leveltb LHC using CompHEP q b W + + 1,2 µ q t W + + 1,2 b ν σ tot, pb ~ g = 2.0, pp tb, LHC 14 TeV Standard Model TC (S = 0.00) TC (S = 0.25) TC (S = 0.50) TC (S = 0.75) TC (S = 1.00) σ tot, pb ~ g = 3.5, pp tb, LHC 14 TeV Standard Model TC (S = 0.00) TC (S = 0.25) TC (S = 0.50) TC (S = 0.75) TC (S = 1.00) M A M A Figure: tb cross-section
105 Fast Simulation of tb P T (µ) > 20 GeV and η(µ) < 2.4 P T (q) > 20 GeV for all quarks η(b) < 2.5 for both b-quarks (in the case of pp Wjj for both light quarks) P T (b 1 ) > 150 GeV, where b 1 is the higher-p T b-quark (q,q ) > 1.0 for any quarks q, q
106 Neural Network training tb var var var var var var var var var var var var var var var14 pp t+b pp tt Figure: 15 kinematical variables used as input into the neural network. (A. Belyaev, M.T.F and A.Sherstnev in preparation)
107 Neural Network output for tb d σ d ξ d 1 σ pp tb pp tt NN output ξ Figure: Output of the neural network for our signal and main background. top mass window 100 GeV < M inv (t) < 250 GeV 0.35 < ξ NN
108 esults for tb d N ev d M rec (tb) pp tb pp tt pp w+bb pp w+jj M(tb ), GeV rec d N ev d M(tb) M(tb), GeV Figure: econstructed (left plot) and partonic (right plot) invariant mass of top and b-quarks after final cuts. Distributions normalized to 30 fb 1.
109 (i)timp missing energy signals q Z, 1,2 H Z q T T l + l Number of events/5 100 fb WW 10 1 ZZ M H =160 M H =200 M H =300 M A =500,gt=5,S= Missing p T (GeV) Number of events/5 100 fb WW 10 1 ZZ M H =160 M H =300 M H =450 M A =750,gt=5,S= Missing p T (GeV) (Foadi, M.T.F and Sannino 08; Godbole, Guchait, Mazumdar, Moretti and oy 03).
110 Summary MWT models provide candidate dynamical models of EWSB.
111 Summary MWT models provide candidate dynamical models of EWSB. (i)timps of MWT models provide (light) viable dark matter.
112 Summary MWT models provide candidate dynamical models of EWSB. (i)timps of MWT models provide (light) viable dark matter. Compilation of MWT signals for LHC/LCs continues:
113 Summary MWT models provide candidate dynamical models of EWSB. (i)timps of MWT models provide (light) viable dark matter. Compilation of MWT signals for LHC/LCs continues: LHE event files available!
114 Summary MWT models provide candidate dynamical models of EWSB. (i)timps of MWT models provide (light) viable dark matter. Compilation of MWT signals for LHC/LCs continues: LHE event files available! Much to be done
115 Summary MWT models provide candidate dynamical models of EWSB. (i)timps of MWT models provide (light) viable dark matter. Compilation of MWT signals for LHC/LCs continues: LHE event files available! Much to be done Lattice input: g ΠΠ, M V, S, M A.
116 Summary MWT models provide candidate dynamical models of EWSB. (i)timps of MWT models provide (light) viable dark matter. Compilation of MWT signals for LHC/LCs continues: LHE event files available! Much to be done Lattice input: g ΠΠ, M V, S, M A. ETC completions
117 Summary MWT models provide candidate dynamical models of EWSB. (i)timps of MWT models provide (light) viable dark matter. Compilation of MWT signals for LHC/LCs continues: LHE event files available! Much to be done Lattice input: g ΠΠ, M V, S, M A. ETC completions Full Detector level analysis
118 Coldplay has made a choice!
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