Sa'id bin Jubayr (may Allah have mercy on him) narrates from Sayyiduna Adi bin Hatim (may Allah be pleased with him) that the Prophet (peace and blessings be upon him) said: "When you see no mark on the game other than that of your arrow, and you are certain that you killed it, then eat."
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الصيد والذبائح / 18908