プログレッシブ和英中辞典(第4版)の解説
おちつきはらう【落ち着き払う】
maintain perfect composure;《口》 be [keep] perfectly cool
落ち着き払って
calmly/with composure/quite unruffled/without turning a hair
落ち着き払って警官の尋問に答えた
He answered the policeman's questions with 「perfect serenity [great composure].