Cook the Carrots: Place the chopped carrots into a small saucepan. Add enough fresh water to cover them completely. Bring the water to a vigorous boil over medium-high heat. Once boiling, reduce the heat to low and let the carrots simmer gently for 15-20 minutes, or until they are very tender and easily pierced with a fork.
Cool the Carrots: Drain the cooked carrots thoroughly in a colander. For quicker cooling, you can briefly rinse them under cold running water. Otherwise, set them aside to cool for about 5-10 minutes. Cooled carrots contribute to a smoother final dip.
Combine Ingredients: Transfer the cooled, cooked carrots to the work bowl of a food processor. Add the drained chickpeas, extra virgin olive oil, fresh lemon juice, tahini, minced garlic, orange zest, smoked paprika, and ground cumin and fine sea salt.
Blend Until Creamy: Secure the food processor lid. Process the mixture continuously for 2-3 minutes. Stop occasionally to scrape down the sides of the bowl with a spatula to ensure all ingredients are incorporated evenly. Continue processing until the dip achieves a very smooth and creamy consistency.
Adjust Texture: Assess the dip's thickness. If it seems too dense for your liking, add 1 tablespoon of the reserved chickpea liquid (aquafaba) or cold water. Pulse a few times to incorporate. Add more liquid, 1 tablespoon at a time, pulsing after each addition, until the dip reaches your preferred smoothness.
Taste and Adjust Seasoning: Give the dip a taste. While a measured amount of salt has been included, you can adjust with a little more lemon juice or black pepper if desired, or an additional tiny pinch of salt if it aligns with your taste preference and dietary needs. Pulse once or twice more to mix in any additions.
Serve or Store: The Vibrant Orange-Kissed Carrot Hummus can be served right away. For best flavor, or if making ahead, transfer it to an airtight container and store it in the refrigerator. It will remain fresh for up to 3-4 days.