content_image/406628.jpg content_image/406629.jpg content_image/406627.jpg content_image/406626.jpg content_image/406625.jpg content_image/406624.jpg content_image/406623.jpg content_image/406617.jpg content_image/406618.jpg content_image/406619.jpg content_image/406620.jpg content_image/406621.jpg content_image/406622.jpg
where the hard part is given by, 

<img src='content_image/406628.jpg'>

and the TMD parton correlation is defined as, 

<img src='content_image/406629.jpg'>

After carrying out the trace, we obtain, 

<img src='content_image/406627.jpg'>

where the twist-3 parton distribution f A q $_{⊥}$( x$_{B}$, k$_{⊥}$ ) is defined as 

<img src='content_image/406626.jpg'>

The contribution ˜ W (1 ,R ) and ˜ W (1 ,L ) are the same in unpolarized SIDIS and are given by, 

<img src='content_image/406625.jpg'>

where ω ρ ≡ g ρ − ¯ n$_{ρ}$n ρ $^{′}$, ˆ h (1) ρ µν = γ$_{µ}$n /γ $^{ρ}$¯ n /γ$_{ν}$ and the matrix element 

<img src='content_image/406624.jpg'>

has two independent terms contributing to the hadronic tensor 

<img src='content_image/406623.jpg'>

where ϵ$_{⊥}$$_{ργ}$ ≡ ϵ$_{αβργ}$ ¯ n $^{α}$n$^{β}$. After carrying out the traces and make the Lorentz contraction with k$_{⊥}$$_{ρ}$ or ϵ$_{⊥}$$_{ργ}$k γ ⊥ respectively, we obtain, 

<img src='content_image/406617.jpg'>

where the parton correlation functions are given by, 

<img src='content_image/406618.jpg'>

<img src='content_image/406619.jpg'>

<img src='content_image/406620.jpg'>

<img src='content_image/406621.jpg'>

Equation of motion relates 

<img src='content_image/406622.jpg'>

