Peel the carrots and cut them into sticks, about 4 inches long.
In a saucepan, combine water, vinegar, sugar, and salt. Heat over medium until sugar dissolves.
Add garlic, peppercorns, mustard seeds, and bay leaf to the brine mixture.
Bring the mixture to a boil, then remove from heat and let it cool slightly.
Place carrot sticks in a clean glass jar.
Pour the hot brine over the carrots, ensuring they are fully submerged.
Seal the jar tightly with a lid.
Let the jar cool to room temperature.
Refrigerate the pickled carrots for at least 24 hours before serving.
Enjoy your crunchy and tangy pickled carrots as a snack or accompaniment!