Is it permissible to hit children who are playing and shouting in the mosque during Tarawih prayers, without any consideration from their parents for the sanctity of the mosque, and are there legal consequences for mothers who allow this?

It is permissible for a child to attend the mosque with one of their parents if they are safe from causing disturbance to the congregants, meaning they are well-behaved or amenable to being reprimanded. Mothers should look after their children and prevent them from shouting and playing in the mosque. It is permissible for a mother to lightly strike her child for disciplinary purposes. However, caution must be exercised regarding striking by anyone other than the mother if a child causes disturbance in the mosque.