City of Berkeley Municipal Code contains noise provisions - https://berkeley.municipal.codes/BMC/13.40.010
Outdoor amplified sound is allowed if a permit is secured. Considerations for the City granting a permit include, for any given property, limiting to 7 permits per year and no more than 1/month.
Exterior noise limits (with amplification or not) are specified at https://berkeley.municipal.codes/BMC/13.40.050