Definitions

Polarized cross section:

$$\sigma (h,P,T)=\sigma _{0}\left( 1+hA_{e}+PA_{d}^{V}+TA_{d}^{T}+h\left( PA_{ed}^{V}+TA_{ed}^{T}\right) \right)$$ (1)

with beam helicity h, vector target polarization P, Tensor target polarization T which is a function of P:

Based on measured counts N^hP for different combination of h and P we can define different asymmetries:

Beam-Target Asymmetry:

$$A_{BT}=\frac{N^{++}-N^{-+}+N^{--}-N^{+-}}{N^{++}+N^{-+}+N^{--}+N^{+-}}$$ (2)

Beam asymmetry for positive target polarization:

$$A_{B+}=\frac{N^{++}-N^{-+}}{N^{++}+N^{-+}}$$ (3)

Beam asymmetry for negative target polarization:

$$A_{B-}=\frac{N^{--}-N^{+-}}{N^{--}+N^{+-}}$$ (4)