I had to use Internet Explorer instead. First time I've used that browser in years... With Chrome, it just opens a new window that loads endlessly, but with IE, it goes to the login screen.
I too use Chrome and I did I have an issue logging in, just like you described... at first.
I cleared all of my browsing data in settings and then it worked fine on a second try.
Try to login form a private navigation chrome window.
If you can login this means
a) you need to clean your navigator history and data (advanced options)
b) that one of your chrome extensions prevents correct access to the site.