Dear [Author],
I am writing to express my sincerest apologies for the recent error that occurred with your publication. It has come to our attention that the production editor in our editing department mistakenly transmitted the wrong file, which resulted in this unfortunate mistake.
We understand how frustrating and disappointing this must be for you, and we want to assure you that we are taking all necessary steps to rectify the situation as soon as possible. We have already replaced the supplementary material on the HEP website, and we are currently in contact with Springer to replace the material on their platform as well. We will keep you informed of any updates regarding this matter.
Once again, please accept our deepest apologies for any inconvenience or frustration this may have caused. We value your work and appreciate your understanding in this matter.
Sincerely,
[Your Name]