Mix soy sauce, mirin, 1 teaspoon of the sesame oil, garlic, ginger, sugar, vinegar, and chile paste in a small bowl.
Heat the broth in a medium saucepan. Add the soy sauce mixture, the chicken, and the vegetables and bring to a boil. Simmer for two minutes or until chicken is cooked through. Add the remaining 1 teaspoon sesame oil. Taste and adjust seasonings.
Pour over prepared Chinese noodles. Garnish with cilantro and scallions.