How can I handle Widow Mines in my backyard?

In a recent game, a Terran player dropped some widow mines behind my mineral line. It took me a minute to realize what had happened, and then it took some time to get enough energy to scan for the mines so I could kill them. In the meantime, the mines picked off a number of my workers.

What's the best way to handle this, while minimizing the impact on my economy?

• Ignoring it until I can get detection?
• Moving workers away until mines are dispatched?
• Lifting off and moving?