is my basil dead?
 

i am totally new to gardening so bear with me please. i have a small
basil plant (about 20 inches high) in a 8 inch pot outside. i am in san
diego. the recent freezing temperatures that killed 3/4 of the oranges
in the state appears to have killed my basil plant. all the leaves
turned dark brown/black and drooped. i have put it outside in the sun
and left it inside during the cold but it hasnt changed, in fact it
looks worse.

is my plant dead forever? or is it hibernating or something? do plants
survive being frozen and then come back to life at some point?

the stems are woody, if that means anything