detriment
Concise Oxford English Dictionary © 2008 Oxford University Press:
detriment /ˈdɛtrɪm(ə)nt/
▶noun (often in phr. to the detriment of) the state of being harmed or damaged.
– origin ME (in the sense ‘loss sustained by damage’): from OFr., from L. detrimentum, from detri-, deterere ‘wear away’.
'detriment' also found in these Oxford entries:

