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We investigate the effects of broken scale invariant unparticle at the MUonEexperiment. The choice of the broken model is because the originalscale-invariant model is severely suppressed by constraints from cosmology andlow-energy experiments. Broken scale invariant unparticle model is categorizedinto four types: pseudoscalar, scalar, axial-vector, and vector unparticle.Each uparticle type is characterized by three free parameters: couplingconstant $\lambda$, scaling dimension $d$, and energy scale $\mu$ at which thescale-invariance is broken. After considering all of the available constraintson the model, we find that the MUonE experiment is sensitive to (axial-)vectorunparticle with $1 < d < 1.4$ and $1\le \mu \le 12$ GeV.

Broken scale invariant unparticle physics and its prospective effects on the MuonE experiment