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Elementary Excitations of a Higgs–Yukawa System

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Abstract

This work investigates the physics of elementary excitations for the so-called relativistic quantum scalar plasma system, also known as the Higgs–Yukawa system. Following the Nemes–Piza–Kerman–Lin many-body procedure, the random-phase approximation (RPA) equations were obtained for this model by linearizing the time-dependent Hartree–Fock–Bogoliubov equations of motion around equilibrium. The resulting equations have a closed solution, from which the spectrum of excitation modes are studied. We show that the RPA oscillatory modes give the one-boson and two-fermion states of the theory. The results indicate the existence of bound states in certain regions in the phase diagram. Applying these results to recent Large Hadron Collider observations concerning the mass of the Higgs boson, we determine limits for the intensity of the coupling constant g of the Higgs–Yukawa model, in the RPA mean-field approximation, for three decay channels of the Higgs boson. Finally, we verify that, within our approximations, only Higgs bosons with masses larger than 190 GeV/\(c^2\) can decay into top quarks.

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Acknowledgments

The author P. L. Natti thanks the State University of Londrina for the financial support received from the FAEPE programs.

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Authors and Affiliations

  1. Pontifícia Universidade Católica do Paraná, Rua Jóquei Clube, 458, 86067-000, Londrina, Paraná, Brazil

    E. R. Takano Natti

  2. Instituto de Física, Universidade de São Paulo, Caixa Postal 66318 Cep 05315-970, São Paulo, São Paulo, Brazil

    A. F. R. de Toledo Piza

  3. Departamento de Matemática, Universidade Estadual de Londrina, 86051-990, Londrina, Paraná, Brazil

    P. L. Natti

  4. Department of Physics, National Dong Hwa University, Hualien, Taiwan, Republic of China

    Chi-Yong Lin

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  1. E. R. Takano Natti
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Correspondence to P. L. Natti.

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Takano Natti, E.R., de Toledo Piza, A.F.R., Natti, P.L. et al. Elementary Excitations of a Higgs–Yukawa System. Braz J Phys 43, 172–181 (2013). https://doi.org/10.1007/s13538-013-0129-y

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