Walking in Monte-Carlo
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- Ronald Wheeler
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1 University of Oxford MC4BSM, April 15 th 2010
2 Outline 1 Bright and dark mass from Technicolor 2 3
3 Work in collaboration with: Alexander Belyaev (Southampton U.), Roshan Foadi (Michigan State U.), Matti Ja rvinen (CP3-Origins), Alexander Pukhov (Moscow State U.), Francesco Sannino (CP3-Origins), Subir Sarkar (Oxford U.) Alexander Sherstnev (Oxford U.).
4 Bright and Dark connection? v weak 246GeV
5 Bright and Dark connection? v weak 246GeV σ ann v rel α2 W 1TeV 2
6 Bright and Dark connection? v weak 246GeV σ ann v rel α2 W 1TeV 2 Ω DM /Ω B 5
7 Bright and Dark connection? v weak 246GeV σ ann v rel α2 W 1TeV 2 Ω DM /Ω B 5 The baryonic mass is due to strong interactions, not the Higgs!
8 Bright and Dark connection? v weak 246GeV σ ann v rel α2 W 1TeV 2 Ω DM /Ω B 5 The baryonic mass is due to strong interactions, not the Higgs! The baryonic relic density is due to an asymmetry not a thermal relic density!
9 Bright and Dark connection? v weak 246GeV σ ann v rel α2 W 1TeV 2 Ω DM /Ω B 5 The baryonic mass is due to strong interactions, not the Higgs! A dynamical origin of mass? The baryonic relic density is due to an asymmetry not a thermal relic density!
10 Technicolor (Weinberg 78, Susskind 78) 1 The SM gauge group is augmented: G SM SU(3) c SU(2) W U(1) Y G TC.
11 Technicolor (Weinberg 78, Susskind 78) 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 R γ µ D µ Q R +...
12 Technicolor (Weinberg 78, Susskind 78) 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 R γ µ D µ Q R The techniquark condensate breaks EW symmetry: Ū L U R + D L D R 0 M W = gf Π 2.
13 Technicolor (Weinberg 78, Susskind 78) 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 R γ µ D µ Q R The techniquark condensate breaks EW symmetry: Ū L U R + D L D R 0 M W = gf Π 2. Minimal chiral symmetries 3 GB s + custodial + relic. SU L (2) SU R (2) U TB (1) SU V (2) U TB (1).
14 Technicolor dark matter Technocosmology (Nussinov 85) Lightest Technibaryon as asymmetric DM
15 Technicolor dark matter Technocosmology (Nussinov 85) Lightest Technibaryon as asymmetric DM Ω TB related to asymmetries. Ω TB /Ω B = n TB m TB /n B m B (Nussinov 85; Chivukula and Walker 90; Bahr, Chivukula and Farhi 90; Harvey and Turner 90; Sarkar 95)
16 Technicolor dark matter Technocosmology (Nussinov 85) Lightest Technibaryon as asymmetric DM Ω TB related to asymmetries. Ω TB /Ω B = n TB m TB /n B m B (Nussinov 85; Chivukula and Walker 90; Bahr, Chivukula and Farhi 90; Harvey and Turner 90; Sarkar 95) Techni-Interacting Massive Particles TIMPs from extended chiral symmetries (Gudnason, Kouvaris and Sannino 05; Sannino and Ryttov 08; Foadi, M.T.F and Sannino 08; M.T.F and Sannino 09)
17 Extended Chiral symmetries and (i)timps (M.T.F and Sannino 09) Minimal TC matter content in representation R of G TC! U +1/2 L Q L = D 1/2, U +1/2 R, D 1/2 R. (1) L
18 Extended Chiral symmetries and (i)timps (M.T.F and Sannino 09) Minimal TC matter content in representation R of G TC! U +1/2 L Q L = D 1/2, U +1/2 R, D 1/2 R. (1) L If R is real: SU(4) SO(4). 3+6 GB s.
19 Extended Chiral symmetries and (i)timps (M.T.F and Sannino 09) Minimal TC matter content in representation R of G TC! U +1/2 L Q L = D 1/2, U +1/2 R, D 1/2 R. (1) L If R is real: SU(4) SO(4). 3+6 GB s. If R is pseudo-real: SU(4) Sp(4). 3+2 GB s.
20 Extended Chiral symmetries and (i)timps (M.T.F and Sannino 09) Minimal TC matter content in representation R of G TC! U +1/2 L Q L = D 1/2, U +1/2 R, D 1/2 R. (1) L If R is real: SU(4) SO(4). 3+6 GB s. If R is pseudo-real: SU(4) Sp(4). 3+2 GB s. The (i)timp is T 0 U L D L.
21 Extended Technicolor and fermion masses 1 Four fermion operators: QQ QQ α Λ 2 ETC QQ ψψ + β + γ Λ 2 ETC ψψ ψψ Λ 2 ETC Fermion masses: M ψ QQ ETC Λ 2 ETC d(r TC ) Λ3 γ Λ γ ETC Λ 2 ETC (Holdom 81, 85; Yamawaki, Bando and Matumoto 86; Appelquist, Karabali and Wijewardhana 86)
22 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(r 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)
23 Walking Technicolor
24 Which gauge theories display walking? (Sannino, cp3-origins 09)
25 Minimal models of Walking Technicolor MWT model: (Sannino and Tuominen 05) SU(2) TC gauge group. 2 Dirac Flavors in the adjoint rep. of SU(2) TC. Additional lepton family: (N E) T L, (N R, E R ).
26 Minimal models of Walking Technicolor MWT model: (Sannino and Tuominen 05) SU(2) TC gauge group. 2 Dirac Flavors in the adjoint rep. of SU(2) TC. Additional lepton family: (N E) T L, (N R, E R ). UMT model: ( Ryttov and Sannino 08) SU(2) TC gauge group. 2 Dirac flavors in the fundamental, 2 Weyl flavors in the adjoint rep. of SU(2) TC. TIMP.
27 Minimal models of Walking Technicolor MWT model: (Sannino and Tuominen 05) SU(2) TC gauge group. 2 Dirac Flavors in the adjoint rep. of SU(2) TC. Additional lepton family: (N E) T L, (N R, E R ). UMT model: ( Ryttov and Sannino 08) SU(2) TC gauge group. 2 Dirac flavors in the fundamental, 2 Weyl flavors in the adjoint rep. of SU(2) TC. TIMP. OMT model: (M.T.F and Sannino 09) SO(4) TC gauge group. 2 Dirac flavors in the vector rep. of SO(4) TC. itimp.
28 Lattice efforts
29 EFT for MWT LHC common sector: SU L (2) SU R (2) U TB (1) SU V (2) U TB (1). 1 New states: R ±,0 1, R ±,0 2, H. TIMPs 2 Input parameters and constraints: 3 Important free parameters: e, G F, M Z ; S, Sum Rules. M A, g, M H. (Foadi, M.T.F, Ryttov and Sannino 07; Belyaev, Foadi, M.T.F, Järvinen, Pukhov, Sannino 08)
30 Collider signatures for MWT Phenomenology controlled by g/ g and masses.
31 Collider signatures for MWT Phenomenology controlled by g/ g and masses. Different channels probe R 1,R 2 and H independently
32 Collider signatures for MWT Phenomenology controlled by g/ g and masses. Different channels probe R 1,R 2 and H independently Production
33 Collider signatures for MWT Phenomenology controlled by g/ g and masses. Different channels probe R 1,R 2 and H independently Production pp R 0± 1,2
34 Collider signatures for MWT Phenomenology controlled by g/ g and masses. Different channels probe R 1,R 2 and H independently Production pp R1,2 0± pp R1,2 0± /H jj
35 Collider signatures for MWT Phenomenology controlled by g/ g and masses. Different channels probe R 1,R 2 and H independently Production pp R1,2 0± pp R1,2 0± /H jj
36 Collider signatures for MWT Phenomenology controlled by g/ g and masses. Different channels probe R 1,R 2 and H independently Production pp R1,2 0± pp R1,2 0± /H jj Decays
37 Collider signatures for MWT Phenomenology controlled by g/ g and masses. Different channels probe R 1,R 2 and H independently Production pp R1,2 0± pp R1,2 0± /H jj Decays R 0 1,2 l+ l
38 Collider signatures for MWT Phenomenology controlled by g/ g and masses. Different channels probe R 1,R 2 and H independently Production pp R1,2 0± pp R1,2 0± /H jj Decays R 0 1,2 l+ l R ± 1,2 tb
39 Collider signatures for MWT Phenomenology controlled by g/ g and masses. Different channels probe R 1,R 2 and H independently Production pp R1,2 0± pp R1,2 0± /H jj Decays R 0 1,2 l+ l R ± 1,2 tb R ± 1,2 ZW ±
40 Collider signatures for MWT Phenomenology controlled by g/ g and masses. Different channels probe R 1,R 2 and H independently Production pp R1,2 0± pp R1,2 0± /H jj Decays R 0 1,2 l+ l R ± 1,2 tb R ± 1,2 ZW ± R 1,2 HZ ZWW
41 Implementation status Lagrangians of (N)MWT, UMT and OMT models in LanHEP.
42 Implementation status Lagrangians of (N)MWT, UMT and OMT models in LanHEP.
43 Implementation status Lagrangians of (N)MWT, UMT and OMT models in LanHEP.
44 Implementation status Lagrangians of (N)MWT, UMT and OMT models in LanHEP. CalcHEP/CompHEP
45 Implementation status Lagrangians of (N)MWT, UMT and OMT models in LanHEP. CalcHEP/CompHEP HERWIG/PYTHIA
46 Implementation status Lagrangians of (N)MWT, UMT and OMT models in LanHEP. CalcHEP/CompHEP HERWIG/PYTHIA DELPHES/GEANT
47 Implementation status Lagrangians of (N)MWT, UMT and OMT models in LanHEP. CalcHEP/CompHEP HERWIG/PYTHIA DELPHES/GEANT FeynRules (In progress)
48 Implementation status Lagrangians of (N)MWT, UMT and OMT models in LanHEP. CalcHEP/CompHEP HERWIG/PYTHIA DELPHES/GEANT FeynRules (In progress)...
49 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 R 0 1,2 l+ l (Belyaev, Foadi, M.T.F, Järvinen, Pukhov, Sannino 08)
50 l + l LHC using HERWIG/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 R 0 1,2 l+ l. M A = 1 TeV, g = 2, S = 0.3. Additional Cuts: M µµ > 500GeV and R j = 1. (A. Belyaev, M.T.F and A.Sherstnev in preparation)
51 l + l LHC using HERWIG/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 R 0 1,2 l+ l. M A = 1 TeV, g = 3.5, S = 0.3. Additional Cuts: M µµ > 500GeV and R j = 1. (A. Belyaev, M.T.F and A.Sherstnev in preparation)
52 tb LHC using CompHEP 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 (A. Belyaev, M.T.F and A.Sherstnev in preparation)
53 3l + /E T signature Number of events/ fb S=0.3 g = M T 3l (GeV) Figure: M T 3l mass distribution for pp R ± 1,2 ZW ± 3lν (Belyaev, Foadi, M.T.F, Järvinen, Pukhov, Sannino 08)
54 associate higgs production: pp R 1,2 HV q W +,R 1,2 + H q Z,γ,R 0 H 1,2 q W + q Z σ(pp WH) (pb) M H =200 GeV, S=0.3, g =2 s=+1 s=0 s=-1 σ(pp WH) (pb) M H =200 GeV, S=0.3, g =5 s=+1 s=0 s= M A (GeV) M A (GeV) (Zerwekh 05; Belyaev, Foadi, M.T.F, Järvinen, Pukhov, Sannino 08)
55 4ljj signature: Events/15 GeV 10 4 S=0.3,s=0 M A = 700 GeV, M H = g ~ =5 pp WH WZZ pp ZH ZZZ pp WZZ background pp ZZZ background M WZZ(ZZZ) (GeV) Number of events/ fb S=0.3 g =5 MH=200 s=14 TeV M 4ljj (GeV) (Zerwekh 05; Belyaev, Foadi, M.T.F, Järvinen, Pukhov, Sannino 08)
56 (i)timp missing energy signals p φ Z, R 1,2 0 H φ l + p Z 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) (Godbole, Guchait, Mazumdar, Moretti and Roy 03; Foadi, M.T.F and Sannino 08).
57 Summary MWT models provide viable dynamical models of EWSB and natural Dark Matter.
58 Summary MWT models provide viable dynamical models of EWSB and natural Dark Matter. MWTs with (i)timps provide in addition (light) viable dark matter.
59 Summary MWT models provide viable dynamical models of EWSB and natural Dark Matter. MWTs with (i)timps provide in addition (light) viable dark matter. Compilation of MWT signals for LHC/LCs in progress:
60 Summary MWT models provide viable dynamical models of EWSB and natural Dark Matter. MWTs with (i)timps provide in addition (light) viable dark matter. Compilation of MWT signals for LHC/LCs in progress: LanHEP/FeynRules implementations completed/in progress.
61 Summary MWT models provide viable dynamical models of EWSB and natural Dark Matter. MWTs with (i)timps provide in addition (light) viable dark matter. Compilation of MWT signals for LHC/LCs in progress: LanHEP/FeynRules implementations completed/in progress. CalcHEP/CompHEP implementations completed.
62 Summary MWT models provide viable dynamical models of EWSB and natural Dark Matter. MWTs with (i)timps provide in addition (light) viable dark matter. Compilation of MWT signals for LHC/LCs in progress: LanHEP/FeynRules implementations completed/in progress. CalcHEP/CompHEP implementations completed. Detector level simulations in progress
63 Summary MWT models provide viable dynamical models of EWSB and natural Dark Matter. MWTs with (i)timps provide in addition (light) viable dark matter. Compilation of MWT signals for LHC/LCs in progress: LanHEP/FeynRules implementations completed/in progress. CalcHEP/CompHEP implementations completed. Detector level simulations in progress Much more to be done
64 Summary MWT models provide viable dynamical models of EWSB and natural Dark Matter. MWTs with (i)timps provide in addition (light) viable dark matter. Compilation of MWT signals for LHC/LCs in progress: LanHEP/FeynRules implementations completed/in progress. CalcHEP/CompHEP implementations completed. Detector level simulations in progress Much more to be done Lattice input.
65 Summary MWT models provide viable dynamical models of EWSB and natural Dark Matter. MWTs with (i)timps provide in addition (light) viable dark matter. Compilation of MWT signals for LHC/LCs in progress: LanHEP/FeynRules implementations completed/in progress. CalcHEP/CompHEP implementations completed. Detector level simulations in progress Much more to be done Lattice input. EXPERIMENTAL ANALYSIS
66 vector-axial spectrum MA MV GeV M A GeV a M A GeV M V M A is a function of g and M A after imposing a fixed S. Inversion point sensitive to S a monitors walking (Foadi, M.T.F, Ryttov, and Sannino 07)
67 LHC? 1 The QCD σ is lighter than the QCD ρ meson. 2 Large-N TC scaling suggest the same in two-index representation theories, 2AS vs 2S: 3 Near-conformal phase transition can further reduce the σ TC wrt F Π (Hong, Hsu and Sannino 04; Dietrich, Sannino and Tuominen 05; Sannino 08; Kurachi and Shrock 06; Doff, Natale and Rodrigues da Silva 08 )
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