Electromgnetic-gravitational cross-sections in external elctromagnetic fields

The classical processes: the conversion of photons into gravitons in the static electromagnetic fields are considered by using Feynman perturbation techniques. The differential cross sections are presented for the conversion in the electric field of the flat condesor and the magnetic field of the selenoid. A numerical evaluation shows that the cross sections may have the observable value in the present technical scenario.Comment: 11 pages, LATEX, no figure

Axion in a 3-3-1 Model with Right-handed Neutrinos

We  show that Peccei - Quinn(PQ) symmetry can be a natural outcomein the 3-3-1 model with right neutrinos after imposing a$Z_{11}\bigotimes Z_{2}$ symmetry. This symmetry is suitableaccommodated in this model when we augmented its spectrum byincluding a singlet scalar field with large VEV. After breakingthe PQ symmetry yielding the axion we study the decay of axioninto two photons. The result shows that the lifetime of axion isvery long, therefore the axion can play the role of the latedecaying particle(LDP) in a dark matter and it is stable in ouruniverse

The influence of scalar unparticle on the production of multiple photons in the Randall- Sundrum model

The influence of scalar unparticle on the production of multiple photons in the Randall- Sundrum model at muon colliders with the center of mass energy $\sqrt{s} = 3 - 10$ TeV is evaluated in detail. The results indicate that the total cross-sections depend strongly on the polarization of the muon and antimuon beams, the collision energy $\sqrt{s}$, the scaling dimension $d_{U}$ of the unparticle operator $\mathcal{O}_{U}$ and the energy scale $\Lambda_{U}$. Numerical evaluation shows that the cross - sections for the production of four - photons at the final state are much larger than the associated production of two - photons with the unparticle under the same conditions.Comment: 13 figures, 1 table. arXiv admin note: text overlap with arXiv:1807.0045

Production Cross Sections of Axion in a Static Electromagnetic Field

Photon - axion conversions in staticelectromagnetic fields of the size $a\times b \times c$ areconsidered in detail by the Feynman diagram methods. Thedifferential cross sections are presented and the numericalevaluations of the total cross section are given. Our result showsthat the conversion cross-sections in the electric field are quitesmall, while in the strong magnetic field, the cross-sections are much enhanced, which can be measurable in current experiments.Photon - axion conversions in staticelectromagnetic fields of the size $a\times b \times c$ areconsidered in detail by the Feynman diagram methods. The differential cross sections are presented and the numerical evaluations of the total cross section are given. Our result shows that the conversion cross-sections in the electric field are quite small, while in the strong magnetic field, the cross-sections are much enhanced, which can be measurable in current experiments

Anomalous magnetic moment of muon in 3-3-1 models

A contribution from new gauge bosons in the ${SU}(3)_C\otimes {SU}(3)_L \otimes {U}(1)_N$ (3 - 3 - 1) models to the anomalous magnetic moments of the muon is calculated and numerically estimated. In the minimal 3 - 3 - 1 model, a lower bound on the bilepton mass at a value of 167 GeV is derived. For an expected precision($\sim 4\times 10^{-10}$) of the BNL measurements the possible lower bounds on masses of the bileptons in the minimal version and in the version with right-handed neutrinos are around 940 GeV and 250 GeV, respectively.Comment: Latex, 11 pages, 4 figures, axodraw.sty used. To appear in Phys. Lett.

Higgs-gauge boson interactions in the economical 3-3-1 model

Interactions among the standard model gauge bosons and scalar fields in the framework of SU(3)_C X SU(3)_L X U(1)_X gauge model with minimal (economical) Higgs content are presented. From these couplings, all scalar fields including the neutral scalar $h$ and the Goldstone bosons can be identified and their couplings with the usual gauge bosons such as the photon, the charged $W^\pm$ and the neutral $Z$, without any additional condition, are recovered. In the effective approximation, full content of scalar sector can be recognized. The CP-odd part of Goldstone associated with the neutral non-Hermitian bilepton gauge boson $G_{X^0}$ is decouple, while its CP-even counterpart has the mixing by the same way in the gauge boson sector. Masses of the new neutral Higgs boson $H^0_1$ and the neutral non-Hermitian bilepton $X^0$ are dependent on a coefficient of Higgs self-coupling ($\lambda_1$). Similarly, masses of the singly-charged Higgs boson $H_2^\pm$ and of the charged bilepton $Y^\pm$ are proportional through a coefficient of Higgs self-interaction ($\lambda_4$). The hadronic cross section for production of this Higgs boson at the LHC in the effective vector boson approximation is calculated. Numerical evaluation shows that the cross section can exceed 260 $fb$.Comment: 22 pages, 1 figure, submitted to Phys. Rev.