Preheat oven to 375 degrees. Mix juice of 1/2 lemon, 1/2 lime, dill and chives into the softened butter. Place salmon on a large piece of foil, with skin side facing down. Smear with the butter mixture. Lay bay leaf on top of butter. Slice remainder of lemon and lime and lay on top of the bay leaf. Wrap up the foil tightly to keep the moisture in, and cook at 375 for 20 minutes.