Essentially, these guys are trying to figure out why there's more antimatter than matter. In theory, both should have been created in equal amounts during the big bang and these should have annihilated perfectly into energy. But, as we can all attest to, there is matter. So there was some sort of irregularity in the big bang. These folks have found an irregularity in the magnetic field. They've said it's helical - so it sort of coils. An excess of left handedness refers to it coiling more in one way (e.g. clockwise/anticlockwise) than the other. An unbalanced magnetic field would mean different forces during the big bang which could allow matter to win out over antimatter... somehow - this wasn't really explained in the article, nor is it really a process which I'm familiar with. More info about the whole matter-antimatter asymmetry can be found at the
relevant wikipedia page but it does seem really damn technical.
TL;DR The universe has lots of magnetic fields that are coil shaped. Some of them coil more in one direction than the other. This had some effect on the early universe, which contributed to there being more matter than antimatter.
