Can I sue a co-worker for accusing me of bodily harm to somebody during the interview/mediation?

I wrote up a co-worker and sent the grievance letter to the company's HR with the knowledge of my boss and our department head. During my one on one interview with the company's compliance officer, I was asked to confirm if I did in fact threatened my boss with bodily harm by hitting him with a brick. The person claimed that she overheard me communicating the threat to my boss. My boss and I both know it was a lie since the conversation was about "hiring unqualified personnel". What I said was: "hiring unqualified personnel is like grabbing a brick and hitting yourself with it".