Talk to Your Neighbor, then Talk to the Contractor
In a perfect world, your neighbor will come to you first, but this isn’t always the case. At the first sign of construction, get in touch with the owners and discuss the scope and timeframe of the project. Discuss any specific issues or occasions you have planned that the project could impact, such as family illness, new baby, or backyard celebration
Noise and Dust
Plan to be away as much as possible during the project. Keep doors and windows closed to prevent particles from entering your home, that can cause health issues. Check with your local building department to understand the hours that a construction company can work and work with your neighbor to hold them accountable.
Finally, remember that this will end. You may need to live next door to the owner for years to come and maintaining a good relationship with your neighbors is more important than a few weeks of hassle.