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The pressure dependent electrical resistivity of URu$_2$Si$_2$ has beenstudied at high pressure across the first order phase boundary of $P_x$ wherethe ground state switches under pressure from "hidden order" (HO) to largemoment antiferromagnetic (LAFM) states. The electrical transport inURu$_2$Si$_2$ at low temperatures shows a strong sample dependence. We havemeasured an ultra-clean single crystal whose quality is the highest among thoseused in previous studies. The generalized power law${\rho}{\,}={\,}{\rho_0}+{\,}{A_n}T{^n}$ analysis finds that the electrictransport property deviates from Fermi liquid theory in the HO phase but obeysthe theory well above $P_x$. The analysis using the polynomial in $T$expression ${\rho}{\,}={\,}{\rho_0}+{\,}{{\alpha}_1}T+{\,}{{\alpha}_2}T{^2}$reveals the relation ${{\alpha}_1}/{{\alpha}_2}$ $\propto$ $T_{sc}$ in the HOphase. While the pressure dependence of ${{\alpha}_2}$ is very weak,${{\alpha}_1}$ is roughly proportional to $T_{sc}$. This suggests a strongcorrelation between the anomalous quasiparticle scattering and thesuperconductivity and that both have a common origin. The present studyclarifies a universality of the HO phase inherent in strongly correlatedelectron superconductors near quantum criticality.

Strong Correlation between Anomalous Quasiparticle Scattering and Unconventional Superconductivity in Hidden Order Phase of URu$_2$Si$_2$