The phrase "chopping off one's head" can be deemed graphic, violent, and appalling. If you're looking for alternatives, there are many ways to say it with a less violent connotation. Some of the synonyms include decapitation, beheading, guillotining, severing one's head, or removing one's head. Another interchangeable phrase is 'losing one's head.' In literature and cinema, euphemisms such as "meeting the axe" or "meeting the blade" have been used to soften the impact of the language. It is pertinent to keep in mind when using such phrases in language and conversation that we are responsible for how we convey our ideas, thoughts, and emotions.