Loop gain is a "partial" transfer function; it depends on a part of the circuit, and its equation does NOT necessarily include all the circuit parameters. Whereas closed loop gain is a "total" transfer function, whose equation does include all the circuit parameters.
Since equations deffer, so do the poles and zeros.
Definitely they have different pole and zero.. bcoz in closed and open looped , the impedance or output impedance at certain node in the circuit will change according to the open loop gain.
for example, Rout is open loop output impedance
Rcl is close looped output impedance, and u can relate in formula as below
Rcl= Rout/ 1+GH, where G=open looped gain and H is feedback gain..
and pole frequency is F=1/Rc
as R become smaller in close looped, then the pole will shift to higher frequency.
it depends on the feedback network if it's resistive they have the same poles and zeros.
you can refer to "analysis ans design of analog integerated circuits" by gray,hursr, lewis,meyer