1. Explain why the Higgs potential of a complex scalar field can only contain terms with...

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1. Explain why the Higgs potential of a complex scalar field can only contain terms with even powers of $, such as V() = µ²² + $4, where ² = *. 2 2. One of the channels used to discover the Higgs boson was Hyy. For a H →yy decay with photon energies E₁ and E₂, and the opening angle 0 between them, show that the invariant mass mh of the Higgs boson is given by: 1 m² = 4E₁ E₂ sin²(0/2) 3. What is the experimental signature of this Higgs decay mode in the ATLAS or CMS detectors at the LHC? 1. Explain why the Higgs potential of a complex scalar field can only contain terms with even powers of $, such as V() = µ²² + $4, where ² = *. 2 2. One of the channels used to discover the Higgs boson was Hyy. For a H →yy decay with photon energies E₁ and E₂, and the opening angle 0 between them, show that the invariant mass mh of the Higgs boson is given by: 1 m² = 4E₁ E₂ sin²(0/2) 3. What is the experimental signature of this Higgs decay mode in the ATLAS or CMS detectors at the LHC?

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1 Why the Higgs potential of a complex scalar field o can only contain terms with even powers of o The Higgs potential is invariant under the global U1 symmetry transformation ei This means that the p... View the full answer