Asperse and Badmouth

Asperse verb - To make untrue and harmful statements about.

Badmouth and asperse are semantically related In some cases you can use "Badmouth" instead a verb "Asperse".

Badmouth verb - Speak unfavorably about.

Asperse and badmouth are semantically related in malign topic. You can use "Asperse" instead a verb "Badmouth", if it concerns topics such as slander, calumniate, criticize, tarnish a reputation.