I've got a similar problem and have just sent an email to Sony Support asking for help. THis might help as a workaround until you get a definitive fix - and me I hope !
In my case I switched the PC on is morning and the cursor was frozen - I immediately thought that the battery needed replacing and did that but no joy. I used the touch screen to click on the area at the top of the screen to show the Sony menu. I piulled the on screen keyboard onto the screen and used that to enter my password and log on.
I then went in to the Control Panel and clicked on the Devices and Printers and noticed that there was a warning sign against the Computer. I clicked on Troubleshoot and saw that it had identified a problem with the "Renasas Electronics USB 3.0 Host Controller" and clicked on "Apply this fix" which resulted in a driver being updated. The troubleshooter identified a second problem with the Intel Chipset and again I clicked on "Apply this fix"
The net result was that I managed to massage the PC back to life and the keyboard and mouse started to work again.
The bad news is that after shutting the PC down I had the same problem and had to go through the same process.
It might be worth a shot !
