The global classical solution to compressible Euler system with velocity alignment

In this paper, the compressible Euler system with velocity alignment and damping is considered, where the influence matrix of velocity alignment is not positive definite. Sound speed is used to reformulate the system into symmetric hyperbolic type. The global existence and uniqueness of smooth solution for small initial data is provided.Comment: 16 page

Study on muon anomalous magnetic dipole moment in BLMSSM via the mass insertion approximation

There are 4.2 $\sigma$ deviations between the updated experimental results of muon anomalous magnetic dipole moment (MDM) and the corresponding theoretical prediction of the Standard Model (SM). We calculate the muon MDM in the framework of the MSSM extension with local gauged baryon and lepton numbers (BLMSSM). In this paper, we discuss how the muon MDM depends on the parameters in the BLMSSM in detail within the mass insertion approximation. Among the many parameters, $\tan{\beta}$, $g_L$, $m_{\lambda_L}$ and $\mu_H$ are more sensitive parameters. Considering the experimental limitations, our best numerical result of $a^{BL}_{\mu}$ is around $2.5 \times 10^{-9}$, which can well compensate the departure between the experiment data and SM prediction

Study lepton flavor violation Bd→li±lj∓B_d\rightarrow{{l_i}^{\pm}{l_j}^{\mp}} within the Mass Insertion Approximation

We study lepton flavor violating (LFV) decays $B_d\rightarrow{{l_i}^{\pm}{l_j}^{\mp}}$($B_d\rightarrow e{\mu}$, $B_d\rightarrow e{\tau}$ and $B_d\rightarrow {\mu}{\tau}$) in the $U(1)_X$SSM, which is the $U(1)_X$ extension of the minimal supersymmetric standard model(MSSM). The local gauge group of $U(1)_X$SSM is $SU(3)_C\times SU(2)_L \times U(1)_Y \times U(1)_X$. These processes are strictly forbidden in the standard model(SM), but these LFV decays are a signal of new physics(NP). We use the Mass Insertion Approximation(MIA) to find sensitive parameters that directly influence the result of the branching ratio of LFV decay $B_d\rightarrow{{l_i}^{\pm}{l_j}^{\mp}}$. Combined with the latest experimental results, we analyze the relationship between different sensitive parameters and the branching ratios of the three processes. According to the numerical analysis, we can conclude that the main sensitive parameters and LFV sources are the non-diagonal terms of the slepton mass matrix

B0−B0ˉB^{0}-\bar{B^{0}} mixing in the U(1)XU(1)_XSSM

$U(1)_X$SSM is a non-universal Abelian extension of the Minimal Supersymmetric Standard Model (MSSM) and its local gauge group is extended to $SU(3)_C\times SU(2)_L \times U(1)_Y\times U(1)_X$. Based on the latest data of neutral meson mixing and experimental limitations, we investigate the process of $B^{0}-\bar{B^{0}}$ mixing in $U(1)_X$SSM. Using the effective Hamiltonian method, the Wilson coefficients and mass difference $\triangle m_{B}$ are derived. The abundant numerical results verify that $~v_S,~M^2_D,~\lambda_C,~{\mu},~M_2,~\tan{\beta},~g_{YX},~M_1$ and $~\lambda_H$ are sensitive parameters to the process of $B^{0}-\bar{B^{0}}$ mixing. With further measurement in the experiment, the parameter space of the $U(1)_X$SSM will be further constrained during the mixing process of $B^{0}-\bar{B^{0}}$

Lepton flavor violating decays lj→liγγl_j\rightarrow l_i \gamma\gamma

In this paper, we study the lepton flavor violating decays of the $l_j\rightarrow l_i \gamma\gamma$ (j=2, 3; i=1, 2) processes under the $U(1)_X$SSM. The $U(1)_X$SSM is the addition of three singlet new Higgs superfields and right-handed neutrinos to the minimal supersymmetric standard model (MSSM). Based on the latest experimental constraints of $l_j\rightarrow l_i \gamma\gamma$, we analyze the effects of different sensitive parameters on the results and made reasonable predictions for future experimental development. Numerical analysis shows that many parameters have a greater or lesser effect on lepton flavor violation(LFV), but the main sensitive parameters and sources leading to LFV are the non-diagonal elements involving the initial and final leptons. This work could provide a basis for the discovery of the existence of new physics (NP)

The flavor transition process b→sγb\rightarrow s\gamma in the U(1)XU(1)_XSSM with the mass insertion approximation

People extend the MSSM with the local gauge group $U(1)_X$ to obtain the $U(1)_X$SSM. In the framework of the $U(1)_X$SSM, we study the flavor transition process $b\rightarrow{s\gamma}$ with the mass insertion approximation (MIA). By the MIA method and some reasonable parameter assumptions, we can intuitively find the parameters that have obvious effect on the analytic results of the flavor transition process $b\rightarrow{s\gamma}$. By means of the influences of different sensitive parameters, we can obtain reasonable results to better fit the experimental data

Efficient Iris Localization via Optimization Model

Iris localization is one of the most important processes in iris recognition. Because of different kinds of noises in iris image, the localization result may be wrong. Besides this, localization process is time-consuming. To solve these problems, this paper develops an efficient iris localization algorithm via optimization model. Firstly, the localization problem is modeled by an optimization model. Then SIFT feature is selected to represent the characteristic information of iris outer boundary and eyelid for localization. And SDM (Supervised Descent Method) algorithm is employed to solve the final points of outer boundary and eyelids. Finally, IRLS (Iterative Reweighted Least-Square) is used to obtain the parameters of outer boundary and upper and lower eyelids. Experimental result indicates that the proposed algorithm is efficient and effective