Is a specific expiation required for someone who touched the the Mus'haf while in a state of ritual impurity (junub)?

You made a mistake by holding the Mus'haf while in a state of major ritual impurity (janabah). You should have informed your mother about the Islamic ruling or held it with a barrier. Scholars have agreed on the impermissibility of touching the Mus'haf for someone in a state of janabah without a barrier, based on the Almighty’s saying: "None touch it except the purified" (Quran 56:79), and the Prophet's saying, "None should touch the Qur'an except one who is pure." You must repent, regret, and resolve not to return to such an act, for sincere repentance erases sins.