Conn. Gen. Stat. § 27-73g: Medal of achievement.

The Adjutant General and two officers of field grade or above, appointed by the Adjutant General, shall constitute a board of officers to receive recommendations, through military channels, for the award, within available appropriations, of the medal of achievement to any member of the armed forces of the state, as defined in section 27-2, the armed forces of the United States or the armed forces of any other state, who has distinguished himself or herself through outstanding achievement or meritorious service during the performance of any state military service. A bronze oak leaf cluster shall be issued in lieu of succeeding awards and a silver oak leaf cluster shall be worn in lieu of five bronze oak leaf clusters.