Unparticle physics and supersymmetry phenomenology

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Abstract

We show a natural form of the interaction between the unparticle and supersymmetry. Using the couplings of the unparticle to supersymmetry presented, as examples, we calculate the differential decay rates for the processes $\stackrel{\texttildelow{}}{f}\ensuremath{\rightarrow}f+{\mathcal{U}}_{3/2}$, ${\stackrel{\texttildelow{}}{\ensuremath{\chi}}}^{0}\ensuremath{\rightarrow}\ensuremath{\gamma}+{\mathcal{U}}_{3/2}$, ${\stackrel{\texttildelow{}}{\ensuremath{\chi}}}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\rightarrow}{W}^{\ifmmode\pm\else\textpm\fi{}}+{\mathcal{U}}_{3/2}$ and ${\stackrel{\texttildelow{}}{\ensuremath{\chi}}}^{0}\ensuremath{\rightarrow}{Z}^{0}+{\mathcal{U}}_{3/2}$. Finally, we discuss the phenomenological implication of our results and give some comments.

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