Is it a condition for a valid Islamic slaughter (dhaka shar'iyya) to cut the esophagus, trachea, and the two jugular veins? Is it permissible to eat chicken slaughtered by cutting only one jugular vein without the other, and without cutting the esophagus and trachea?

The most complete method of dhabh (slaughter) is to cut the four passages: the trachea (windpipe), the esophagus (gullet), and the two jugular veins. Scholars differed regarding what constitutes a sufficient cut:

Abu Hanifa: Cutting three of them.

Malikis: Cutting the trachea and the two jugular veins.

Shafi'is and Hanbalis: Cutting the trachea and the esophagus.

Cutting only one jugular vein is not sufficient, and the animal slaughtered in this manner is not permissible to eat. The Muslim community must provide someone who can perform the shar'i (Islamic) slaughter, as it is a collective obligation (fard kifayah).