To prepare vinaigrette, combine first 6 ingredients in a small bowl; stir with a whisk. Set aside.
To prepare salad, combine water and bay leaves in a large saucepan; bring to a boil. Add shrimp; cook 3 minutes or until done. Drain and rinse with cold water. Discard the bay leaves. Peel shrimp; sprinkle with 1/4 teaspoon salt and 1/4 teaspoon black pepper. Cover and chill.
Cook pasta according to package directions, omitting salt and fat; drain and rinse under cold water.
Combine shrimp, pasta, arugula, and remaining ingredients in a large bowl. Drizzle vinaigrette over salad, and toss gently to coat.