Differential Equations and Mathematical Physics

The width of the Higgs boson decay into two photons in framework of NMSSM with CP-violation: one loop approximation

A. V. Gurskaya

Samara State University, Samara, 443011, Russian Federation

Abstract: The article considers the problem of the extension of standard model physics of elementary particles. We focus on nonminimal supersymmetric models. Nowadays this model is the most appropriate compared with other developed supersymmetric theories. We assume the violation of CP invariance in the Higgs sector. We find a local minimum of the Higgs potential for calculating the physical states of Higgs bosons. This procedure must be performed in order to obtain a stable state of vacuum. Next, calculations of the decay widths of the Higgs boson into two photons there are in this work. We use the method of quantum-field perturbation theory with Feynman diagrams. The results of calculations are presented graphically. We show, that the CP violating phase affects the value of the decay widths. Also there are dependences of the masses of the Higgs bosons from the phase of CP violation: tree-level approximation. Some model parameters are not determined in the experiment, and concluded in a range of values that gives the possibility to consider various scenarios of multiple Higgs bosons. In particular, several Higgs bosons may be existing with mass less than 125 GeV in case of CP violation. This can be explained by the absence of a specific CP state of this particle.

Keywords: LHC, Higgs boson, violation of CP invariance, supersymmetry, width of the decay, one-loop correction.

UDC: 539.12

MSC: 81T10

Original article submitted 19/XII/2014
revision submitted – 27/V/2015

DOI: 10.14498/vsgtu1391

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