Moderate events:

Seizure (jerking or staring) often associated with fever
Temporary pain and stiffness in the joints, mostly in teenage or adult women
Temporary low platelet count, which can cause unusual bleeding or bruising
Rash all over body
Severe events occur very rarely:

Deafness
Long-term seizures, coma, or lowered consciousness
Brain damage
Other things that could happen after this vaccine:

People sometimes faint after medical procedures, including vaccination. Sitting or lying down for about 15 minutes can help prevent fainting and injuries caused by a fall. Tell your provider if you feel dizzy or have vision changes or ringing in the ears.
Some people get shoulder pain that can be more severe and longer-lasting than routine soreness that can follow injections. This happens very rarely.
Any medication can cause a severe allergic reaction. Such reactions to a vaccine are estimated at about 1 in a million doses, and would happen within a few minutes to a few hours after the vaccination.
As with any medicine, there is a very remote chance of a vaccine causing a serious injury or death.