Job Application Follow Up Email

[shino]

This position is a international internship in Japan posted in my university. I submitted my application documents to HR. I received a confirmation email saying that they forwarded the documents to related departments (accounting / finance), and it will take 6 to 8 weeks to process the application.

It is now week 7.

Should I send a follow up letter confirming my status? Or should I wait for their reply until week 8 has passed and fire them an email?

Is there any good examples of job application follow up emails that I can use?

Thank you!

Regards.