content_image/433012.jpg content_image/433013.jpg content_image/433009.jpg
<img src='content_image/433012.jpg'>

<img src='content_image/433013.jpg'>

the contributions to the neutrino signals from light quarks are usually small. is 

The neutrinos produced at the solar center will interact with the matter in the Sun. These effects include the neutral current (NC) interaction, the charged current (CC) interaction, and tau neutrino ν$_{τ}$ reinjection from secondary tau decays. The neu- trino oscillations including the vacuum mixing and the MSW matter effects are also important. Here we use the results given by Ref. [26] to take into ac- count the above effects during the neutrinos’ prop- agation. The differential neutrino flux at the Earth 

where i runs over the different DM annihilation channels with branching ratios Br$_{i}$ , dN$_{ν}$/dE$_{ν}$ is the neutrino spectrum at the Earth after propaga- tion, and R$_{SE}$ is the Sun-Earth distance. 

We can calculate the muon rate at the detector 

<img src='content_image/433009.jpg'>

