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About that potential within this setup, we can calculate the V(h) from loops of fermions, in same fashion as done before + + + ··· from gauge interactions t L + V g (h) ∼ = c 1 sin 2 h/f from top interactions t R t L t R t R + ··· t L Figure 12: 1-loop contribution of the SM top and bottom quark to the Higgs potential. Upper row: diagrams where the same elementary field, either q L =(t L ,b L ) or t R , circulates in the loop with a propagator i/(p Π 0 ). A grey blob denotes the form factor pΠ 1 . Lower row: diagrams where both t L and t R circulate in the loop with a Higgs-dependent propagator ∼f (see text). In this case a grey blob denotes the form factor M1 u. V t (h) ∼ = −c 2 cos h/f − c 3 sin 2 h/f Wednesday, January 9, 2013
About that potential Vmin at h≠0 is possible, requires delicate balance between +ve and -ve contributions to obtain v ≪ f = requires some ‘tuning’ of parameters what’s in these blobs = + + ... know π become strongly coupled at high energy (A ∼ s) parameterize as + + L ⊃ Π µν (q 2 ) A µ A ν πa 2 Π μν encodes all the strong dynamics effects. Some aspects like Π(0), Π(∞) are set by symmetries, details require model ex.) large N, extra dimensions 7: 1-loop contribution of the SM gauge fields to the Higgs poten ts the strong dynamics encoded by the form factor Π 1 . 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 and 10:
Did it have to be Higgs Was finding
Page 11 and 12:
Did it have to be Higgs Σ(x) =exp
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: Undo the mixing Partial Compositene
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
Page 79 and 80: LHC signals different composite Hig
Page 81 and 82: LHC signals coupling b is trickier.
Page 83 and 84: 2.) production of new particles LHC
Page 85 and 86: spin-1 resonances: LHC signals slig
Page 87 and 88: LHC signals semi-leptonic modes ( +
Page 89 and 90: LHC signals new interaction q 3 T t
Page 91 and 92: 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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