Keep in mind that although scientists can theorize about (and find evidence for) particles that travel faster than the speed of light, they can only perceive the results at or less than this speed of light.

An inch will be measured as an inch, even when it's not.

The instrument that is used for the measurement is rarely considered, but often they are observing the effects of the instrument rather than what is being observed.

You could say that the instrument is a reference of interpretation. Looking through an electron microscope we do not see electrons. We see the electron microscope.

If you invented a new gestalt spectrometer that is meant to capture light's oompa particles, you'd probably find them. You might even consider the oompa particles to be a new property of light. Others could then find the same particles (verifying your results) using the same instrument, but not other instruments.

So, while faster-than-light particles 'exist' they cannot be perceived.