## What is/are Dark Vector?

Dark Vector - In this article, we consider the coupled Ginzburg–Landau equation with variable coefficients including the nonlinear gain and obtain the exact solutions of chirped dark vector quasi-solitons via the ansatz method.^{[1]}We argue that the search for dark vector boson through ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}{Z}_{d}\ensuremath{\gamma}$ can determine the Lorentz structure of ${Z}_{d}{l}^{+}{l}^{\ensuremath{-}}$ couplings with the detection of leptonic decays ${Z}_{d}\ensuremath{\rightarrow}{l}^{+}{l}^{\ensuremath{-}}$.

^{[2]}First of all, based on the bright-bright and bright-dark vector two-soliton solutions given by the Hirota method, we construct the mixed-type vector double-pole solutions via the limit technique.

^{[3]}We simulate the polarization manipulation of bright-dark vector bisolitons at 1-μm wavelength regime.

^{[4]}In the manuscript, we report the theoretical simulation results about modulating dark vector bisolitons in 1064 nm wavelength band, when input soliton state is polarization-locking or group-velocity-locking.

^{[5]}First of all, based on the bright-bright and bright-dark vector two-soliton solutions given by the Hirota method, we construct the mixed-type vector double-pole solutions via the limit technique.

^{[6]}We find that this coupled system can exhibit the dark–dark, dark–antidark and antidark–dark vector solitons.

^{[7]}Several important consequences for the interaction between dark fermions, dark scalars or dark vector gauge bosons with each other and with SM Higgs and Z-bosons are described.

^{[8]}We lay out the requirements for the model to be cosmologically viable, identify annihilations into dark vector mesons as the dominant dark matter freeze-out process and discuss bounds from direct detection.

^{[9]}The specific physics possibilities studied are searches for dark vector bosons mixing kinetically with the Standard Model hypercharge group, leptophilic vector bosons, dark scalars mixing with the Standard Model Higgs boson, and heavy neutral leptons that mix with the Standard Model neutrinos.

^{[10]}We also discuss a search for new dark vector gauge boson that couples to light quark predominantly.

^{[11]}We report the exact phase dynamics of Manakov bright and dark vector solitons in an inhomogeneous optical system by means of a variable coefficient coupled nonlinear Schrödinger equation.

^{[12]}The bright and dark vector solitons are formulated by reducing the three-component coupled Gross-Pitaeviskii equations to a standard nonlinear Schrodinger equation, which has the solutions of the bright and dark solitons with positive or negative mass depending on the product of the effective dispersive and nonlinear coefficients.

^{[13]}In this model there is a dark vector boson Zd which can mix with the SM hypercharge gauge boson.

^{[14]}

## dark vector soliton

We find that this coupled system can exhibit the dark–dark, dark–antidark and antidark–dark vector solitons.^{[1]}We report the exact phase dynamics of Manakov bright and dark vector solitons in an inhomogeneous optical system by means of a variable coefficient coupled nonlinear Schrödinger equation.

^{[2]}The bright and dark vector solitons are formulated by reducing the three-component coupled Gross-Pitaeviskii equations to a standard nonlinear Schrodinger equation, which has the solutions of the bright and dark solitons with positive or negative mass depending on the product of the effective dispersive and nonlinear coefficients.

^{[3]}

## dark vector boson

We argue that the search for dark vector boson through ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}{Z}_{d}\ensuremath{\gamma}$ can determine the Lorentz structure of ${Z}_{d}{l}^{+}{l}^{\ensuremath{-}}$ couplings with the detection of leptonic decays ${Z}_{d}\ensuremath{\rightarrow}{l}^{+}{l}^{\ensuremath{-}}$.^{[1]}The specific physics possibilities studied are searches for dark vector bosons mixing kinetically with the Standard Model hypercharge group, leptophilic vector bosons, dark scalars mixing with the Standard Model Higgs boson, and heavy neutral leptons that mix with the Standard Model neutrinos.

^{[2]}In this model there is a dark vector boson Zd which can mix with the SM hypercharge gauge boson.

^{[3]}

## dark vector gauge

Several important consequences for the interaction between dark fermions, dark scalars or dark vector gauge bosons with each other and with SM Higgs and Z-bosons are described.^{[1]}We also discuss a search for new dark vector gauge boson that couples to light quark predominantly.

^{[2]}

## dark vector two

First of all, based on the bright-bright and bright-dark vector two-soliton solutions given by the Hirota method, we construct the mixed-type vector double-pole solutions via the limit technique.^{[1]}First of all, based on the bright-bright and bright-dark vector two-soliton solutions given by the Hirota method, we construct the mixed-type vector double-pole solutions via the limit technique.

^{[2]}

## dark vector bisoliton

We simulate the polarization manipulation of bright-dark vector bisolitons at 1-μm wavelength regime.^{[1]}In the manuscript, we report the theoretical simulation results about modulating dark vector bisolitons in 1064 nm wavelength band, when input soliton state is polarization-locking or group-velocity-locking.

^{[2]}