Haswell core Intel processors are common in many 2013 and 2014 ChromeOS devices.
Support for Haswell Chromebooks has been implemented in upstream Linux with aplomb, so you should be able to run any recent Linux distribution you please with little to no friction.
Factory firmware support for booting legacy OSes via SeaBIOS is common, but custom firmware is also available for all Haswell models as well -- see Firmware.
ASUS Chromebox, 2014 (PANTHER) / HP Chromebox, 2014 (ZAKO)
- Factory legacy boot firmware bug prevents use of attached USB devices at boot, including keyboard
- While installation is possible with factory firmware, it is less than ideal.
- Custom firmware does not have bug; update
RW_LEGACY. See Installing/Panther.