In a large bowl, whisk together the eggs, lemon zest, lemon juice and sugar until smooth.
Whisk in the flour. Remove the shortbread crust from the oven then immediately pour the filling on top.
Return the pan to the oven and continue baking the bars until they are set in the center and no longer jiggly, 20 to 24 minutes.
Remove the bars from the oven and let them cool on a wire rack for 1 hour (or until room temp). Loosely tent the baking pan with foil, then transfer the pan to the fridge for a minimum of 3 hours and up to overnight.
When ready to serve, use the parchment paper overhangs to lift the bars out of the pan. Slice them into squares then dust them with powdered sugar (optional) and serve.