We show a natural form of the interaction between unparticle and supersymmetry. Using the couplings of unparticle to supersymmetry presented, as examples, we calculate the differential decay rates for the processes ${ \it { \tilde f}}\to { \it f}+{ \cal U}_{ 3/2}$, ${ \it { \tilde \chi}}^0\to{ \it \gamma}+{ \cal U}_{ 3/2}$, ${ \it { \tilde \chi}}^\pm\to W^\pm+{ \cal U}_{ 3/2}$ and ${ \it { \tilde \chi}}^0\to Z^0+{ \cal U}_{ 3/2}$. Finally, we discuss the phenomenological implication of our results and give some comments.
Categories: hep-ph