Peel and devein shrimp; reserve shells.
Halve shrimp lengthwise. Transfer shrimp to small bowl.
Cover and chill.
Combine reserved shrimp shells, broth and next 4 ingredients in large pot.
Bring to boil.
Reduce heat; simmer uncovered 20 minutes to blend flavors, stirring and skimming surface occasionally. (Can be made 1 day ahead.)
Cover; chill.
Strain broth into large bowl, pressing on solids with back of spoon to release as much liquid as possible; discard solids.
Return broth to pot. Bring to simmer.
Remove from heat.
Add shrimp, herbs, chili and lime juice.
Cover and let stand until shrimp are opaque, stirring once, about 2 minutes.
Ladle into bowls. Garnish with lime.