I'm surprised no one has posted about this yet, so I guess I'll take it upon myself to post the link, even though I have no real expertise on the subject. The ACME collaboration had the results of their latest measurement of the electron's EDM published in Nature today. They place an upper limit of 9.4X10-29 e cm, an order of magnitude improvement over the previous measurement. According to the chart below, this value eliminates many BSM models. I've also included a couple of pedagogical videos from the ACME group. RIP 'naturalness'.