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Did it have to be Higgs Σ(x) =exp i 2π a τ a v Instead lets add a field Σ(x): Pauli matrices = 1 2×2 +2i π a τ a v − 2 π aπ b τ a τ b v 2 + ··· 3 “pion” fields EW scale Wednesday, January 9, 2013
Did it have to be Higgs Σ(x) =exp i 2π a τ a v Instead lets add a field Σ(x): Pauli matrices = 1 2×2 +2i π a τ a v − 2 π aπ b τ a τ b v 2 + ··· 3 “pion” fields EW scale expanding out, we get a (2x2) matrix cos (ˆπ/v)+iˆπ3 sin (ˆπ/v) i(ˆπ Σ = 1 − iˆπ 2 )sin(ˆπ/v) i(ˆπ 1 + iˆπ 2 )sin(ˆπ/v) cos(ˆπ/v) − iˆπ 3 sin (ˆπ/v) ˆπ = π 2 a, ˆπ a = π a /ˆπ remember, the SM Higgs doublet H(x) = 1 √ 2 h1 + ih 2 h 0 + ih 3 has 4 fields, our Σ has 3 Wednesday, January 9, 2013
Page 1 and 2: Higgs Beyond the SM and SUSY Adam M
Page 3 and 4: Where are we now • massive W ± /
Page 5 and 6: What now • To what extent are EWS
Page 7 and 8: Did it have to be Higgs Was finding
Page 9: Did it have to be Higgs Was finding
Page 13 and 14: Did it have to be Higgs out of Σ,
Page 15 and 16: So what Unitarity imposes relations
Page 17 and 18: So what Unitarity imposes relations
Page 19 and 20: But... L Σ has massive particles,
Page 21 and 22: = s + t v 2 h 1 − a 2 + O m 2
Page 23 and 24: Higgs EFT in action UPDATED SANITY
Page 25 and 26: Light scalar fields m 2 H 2 h2 mass
Page 27 and 28: Light scalar fields m 2 H 2 h2 mass
Page 29 and 30: Higgs as a pseudo-Goldstone Boson a
Page 31 and 32: Higgs as a pseudo-Goldstone Boson t
Page 33 and 34: Higgs as a pseudo-Goldstone Boson m
Page 35 and 36: Higgs as a pseudo-Goldstone Boson m
Page 37 and 38: Higgs as a pseudo-Goldstone Boson t
Page 39 and 40: Higgs as a pseudo-Goldstone Boson V
Page 41 and 42: Higgs as a pseudo-Goldstone Boson b
Page 43 and 44: Higgs Beyond the SM and SUSY lectur
Page 45 and 46: ecap from yesterday: idea behind co
Page 51 and 52: Higgs as a pseudo-Goldstone Boson s
Page 53 and 54: Higgs as a pseudo-Goldstone Boson H
Page 55 and 56: Higgs as a pseudo-Goldstone Boson H
Page 57 and 58: Higgs as a pseudo-Goldstone Boson N
Page 59 and 60: Higgs as a pseudo-Goldstone Boson K
Page 61 and 62:
Higgs potential How do we get ≠
Page 63 and 64:
Partial Compositeness • new stron
Page 65 and 66:
Partial Compositeness • new stron
Page 67 and 68:
Undo the mixing Partial Compositene
Page 69 and 70:
About that potential Vmin at h≠0
Page 71 and 72:
Review high energies: constituents
Page 73 and 74:
Review high energies: constituents
Page 75 and 76:
E Review O(f)-O(4πf) new vector re
Page 77 and 78:
1.) Higgs couplings: a, b, c LHC si
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LHC signals different composite Hig
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LHC signals coupling b is trickier.
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2.) production of new particles LHC
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spin-1 resonances: LHC signals slig
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LHC signals semi-leptonic modes ( +
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LHC signals new interaction q 3 T t
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LHC signals new interaction q 3 T t
Page 93 and 94:
LHC signals both pair-production (T
Page 95 and 96:
more exotic possibilities: LHC sign
Page 97:
Conclusions: • immediate LHC focu
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