Preheat the oven to 350°F and line a 9x13-inch baking pan with parchment paper so the bars can be removed easily after baking.
Cream the butter and sugar together until smooth, then mix in the flour and salt until a soft dough forms. Press the dough evenly into the pan and bake until lightly golden around the edges.
Whisk together the eggs, sugar, flour, cornstarch, lemon juice, lemon zest, and salt until completely smooth with no lumps remaining in the filling.
Pour the lemon mixture over the hot baked crust and return the pan to the oven. Bake until the center looks mostly set with a slight wobble.
Cool the bars at room temperature first, then refrigerate them until fully chilled so the filling firms up properly before slicing.
Dust the chilled lemon bars with powdered sugar, slice carefully using a sharp knife, and serve cold or slightly cool for the best flavor.