torment vs pain

torment and pain both are nouns.

Word	Noun	Adjective	Verb	Adverb
torment	Yes	No	Yes	No
pain	Yes	No	Yes	No

As nouns, pain is a hypernym of torment; that is, pain is a word with a broader meaning than torment:

Other hypernyms of torment include hurting.

As verbs, pain is a hypernym of torment; that is, pain is a word with a broader meaning than torment:

Other hypernyms of torment include anguish, hurt.

torment (noun)	pain (noun)
the act of harassing someone	a somatic sensation of acute discomfort
a severe affliction	something or someone that causes trouble; a source of unhappiness
intense feelings of suffering; acute mental or physical pain	emotional distress; a fundamental feeling that people try to avoid
extreme mental distress	a symptom of some physical hurt or disorder
a feeling of intense annoyance caused by being tormented
unbearable physical pain

torment (verb)	pain (verb)
subject to torture	cause bodily suffering to and make sick or indisposed
torment emotionally or mentally	cause emotional anguish or make miserable
treat cruelly