In the Shulchan Arukh (Yoreh Deah Siman 23) we find the laws of "shehiyah", which relates to the laws of shechita. This is basically a prohibition stating that one may not pause in the middle of the shechita. These halachos are complicated with many nuances, including differences between a "behama" (domesticated land animal) and an "oif" (bird). What about a "chayah" (non-domesticated animal)? This is a separate category of animal with differences in Halacha from behama and oif in other areas of Halacha. Does it have it's own laws here as well, or is it categorized together with Behamas in regards to the dinim of Shehiyah. I haven't found this explicitly mentioned in the Siman yet.
In Darkei Teshuvah Siman 23 Se'if Katan 22 he brings Shu"t Pri Ho'oretz (YD 1:4) that a Chaya has the same Shiur of a Behema which is כדי שיגביה בהמה דקה וירביצנה וישחטנה. Then he brings the Da'as Torah (YD 23 sk 4) who learns that the Pri Megadim (YD MZ 28:16) holds that it's the same Shiur as a bird, and declares צ"ע (this requires further investigation) regarding the Pri Megadim! The Darkei Teshuvah explains that that is not what the Pri Megadim is really saying (and brings support to his view from Sefer Meged Shomayim).
Unless otherwise noted, חיה בכלל בהמה (Bava Kama 17b).