Productivity Shock & GDP

Could somebody talk about what will Fed do in situations like a reduction in potential GDP caused by the drop in productivity? What will be Fed’s normal reaction to keep the inflation lower and bring back the GDP to normal? I am looking for the possible feedback rule that is relevant for this scenario.

reducing interest rates should incourage borrowing making more capital available for production which in turn should boast GDP Inflation- i think tightening the monetory policy like increasing the liqudity reserve ratio as well as sellling Fed bills shoud mop out money from circulation and control inflation