Clean the mussels: Scrub them well under cold running water.
Debeard them, if necessary, pulling out any wiry fronds coming through the seams of the shells.
In a large pot or deep saute pan, combine the white wine, half the shallot, and the bay leaf.
Place the mussels on top and cover with a lid.
Bring to a boil over high heat to steam open the mussels, 3 to 4 minutes.
You may want to give them a stir after 2 minutes to disperse the heat evenly among the mussels.
When the mussels have opened (if there are a few that don't, this is an indication that they are dead or bad discard them), transfer them to four shallow bowls.
Strain the cooking liquid, through either a coffee filter or several layers of cheesecloth, into a clean pan, add the olive oil, remaining shallot, and garlic, and bring to a boil over high heat.
Reduce the mixture slightly; it will condense to an opaque liquid.
Taste.
If it's too salty, add a little water.
Sprinkle the herbs and spoon the sauce over the mussels.
Serve promptly, with a tangy baguette torn into large pieces, which you can use to soak up the broth when you're finished with the mussels.