In the UK a slip was send to your parents if you got an after school detention, it was not intened to inform your parents, but it did do so, it was more to do with gaining your Parents consent, and would have given them a few days notice,without the consent of your parents the School would have been unable to enforce the detention,
I wasn’t caned at school but I did get a few detentions, I don’t think parents were informed in either case although I had to take the initiative myself and inform my parents of my detention as this was after school and would involve a late arrival for tea.
They may have appeared on report cards but as I wasn’t badly behaved there was no fuss made.