Let me try to write one that I would submit in the United States. I am not going to give you a Chinese English.
Due to an urgent event at my work place, I cannot attend this study session. I am sorry for my absence and your understanding and approval will be appreciated.
I have to ask for a leave due to some business in my bureau.I am sorry that i couldn't join you with the study.
Thanks
Because the unit has the matter, cannot participate in the study, asks for leave specially, hoped teacher can authorize!
OK了
Because the unit occupies, can't attend a study, hereby ask for leave, hope the teacher can grant!
Dear professor:
I am so sorry to ask for your approval of my absence of your class,because I have some emergent things to deal with in the company.