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Quantum Constraints on a Charged Particle Structure

Keywords: Lorentz scalar Lagrangian density , electric charge , Higgs boson , ttˉmeson

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Abstract:

The crucial role of a Lorentz scalar Lagrangian density whose dimension is [L 4](~ = c= 1) in a construction of a quantum theory is explained. It turns out that quantum functions used in this kind of Lagrangian density have a de nite dimension. It isexplained why quantum functions that have the dimension [L 1] cannot describe particles that carry electric charge. It is shown that the 4-current of a quantum particle should satisfy further requirements. It follows that the pion and the W± must be composite particles. This outcome is inconsistent with the electroweak theory. It is also argued that the 125 GeV particle found recently by two LHC collaborations is not a Higgs boson but a ttˉmeson.

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