Prepare 8 ounces dry angel hair pasta according to directions and drain.
Cut 1 medium onion into thin wedges.
Cut 1 medium red bell pepper and 1 medium orange or yellow bell pepper into strips.
Melt 4 tablespoons butter in large skillet and add onion, bell peppers, and 1 teaspoon minced garlic and cook on medium high until vegetables are tender crisp.
Add 1½ cup cooked, chopped chicken, 1 teaspoon dried tarragon leaves, ¾ teaspoon salt, and ¼ teaspoon coarsely ground black pepper. Cook, stirring gently, until chicken is hot.
Add 1 cup shredded Mozzarella Cheese, 1 cup half and half, and ½ cup shredded Parmesan cheese to chicken.
Reduce heat and cook on low until cheese is melted.
Rinse pasta in hot water until noodles are warm, and add to pan. Toss gently and serve.