In your food processor, add the egg yolks, water, mustard and vinegar and pulse, just a couple of times to just mix, not fully aerate.
We are going to slowly add the oil now. I like to do this in a jug so its easy to pour. Turn the machine on low, and add the oil in a thin slow stream. Slow and steady wins the race.
It will come together and you will have a lovely creamy mixture once all of the oil has been incorporated.
Once you have finished, season with lime juice, salt & pepper and mix. Taste and adjust seasoning if needed.
Recipe Notes
Store in an airtight container and refrigerate. Will last for up to 7 days.