What's the difference between 懲處 and 懲罰？
惩处 - to penalize

惩罚 - to punish

The difference between these two words described on this site:
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  As verbs the difference between penalize and punish is that penalize is to subject to a penalty, especially for the infringement of a rule or regulation while punish is to cause to suffer for crime or misconduct, to administer disciplinary action.