Dense matter in compact stars cools efficiently by neutrino emission via the direct Urca processes n \to p + e + \bar { \nu } _ { e } and p + e \to n + \nu _ { e } .
Below the pairing phase transition temperature T _ { c } these processes are suppressed - at asymptotically low temperatures exponentially .
We compute the emissivity of the Urca process at one loop for temperatures T \leq T _ { c } , in the case where the baryons are paired in the ^ { 1 } S _ { 0 } partial wave .
The Urca process is suppressed linearly , rather than exponentially , within the temperature range 0.1 \leq T / T _ { c } \leq 1 .
The charge-current Cooper pair-breaking process contributes up to 50 \% of the total Urca emissivity in this temperature range .