Sedatives like benzodiazepines (e.g., diazepam) used in Cluster Headache management act primarily by enhancing GABA-A receptor inhibitory neurotransmission, which reduces neuronal excitability and provides anxiolytic and muscle relaxant effects. These medications can help modulate pain perception, reduce sympathetic nervous system activation, and potentially interrupt the neurological mechanisms underlying Cluster Headache attacks by promoting central nervous system depression.