Getting the results of an arXiv keyword search in my email
You can set up a Google Scholar alert. Google Scholar indexes, among other things, arXiv preprints (they typically take 2-3 days to show up), so you will get these in the email alerts.

Be warned that it also indexes journals, other repositories... And while it is possible to restrict advanced searches to arXiv, I haven't been able to set up an alert that only looks at arXiv. So if you are only interested in what shows up on the arXiv, you will have to weigh the pros and cons of also having alerts about papers you might already have seen elsewhere.