calumny (n.) Look up calumny at Dictionary.com
"False & malicious misrepresentation of the words or actions of others, calculated to injure their reputation" [Fowler], mid-15c., from Middle French calomnie (15c.), from Latin calumnia "trickery, subterfuge, misrepresentation, malicious charge," from calvi "to trick, deceive," from PIE root *kel- (6) "to deceive, confuse" (source also of Greek kelein "to bewitch, seduce, beguile," Gothic holon "to deceive," Old Norse hol "praise, flattery," Old English hol "slander," holian "to slander").
calumnious (adj.) Look up calumnious at Dictionary.com
late 15c., from Latin calumniosus, from calumnia (see calumny). Related: Calumniously.
calumniate (v.) Look up calumniate at Dictionary.com
1550s, from Latin calumniatus, past participle of calumniari "to accuse falsely," from calumnia "slander, false accusation" (see calumny). Related: Calumniated; calumniating.
cavil (v.) Look up cavil at Dictionary.com
1540s, from Middle French caviller "to mock, jest," from Latin cavillari "to jeer, mock; satirize, argue scoffingly" (also source of Italian cavillare, Spanish cavilar), from cavilla "jest, jeering," related to calumnia (see calumny).
challenge (v.) Look up challenge at Dictionary.com
c. 1200, "to rebuke," from Old French chalongier "complain, protest; haggle, quibble," from Vulgar Latin calumniare "to accuse falsely," from Latin calumniari "to accuse falsely, misrepresent, slander," from calumnia "trickery" (see calumny).

From late 13c. as "to object to, take exception to;" c. 1300 as "to accuse," especially "to accuse falsely," also "to call to account;" late 14c. as "to call to fight." Also used in Middle English with sense "claim, take to oneself." Related: Challenged; challenging.
challenge (n.) Look up challenge at Dictionary.com
early 14c., "something one can be accused of, a fault, blemish;" mid-14c., "false accusation, malicious charge; accusation of wrong-doing," also "act of laying claim" (to something), from Anglo-French chalenge, Old French chalonge "calumny, slander; demand, opposition," in legal use, "accusation, claim, dispute," from Anglo-French chalengier, Old French chalongier "to accuse, to dispute" (see challenge (v.)). Accusatory connotations died out 17c. Meanings "an objection" in law, etc.; "a calling to fight" are from mid-15c. Meaning "difficult task" is from 1954.