Faster than light particles already have been discovered, see quantum entanglement, Maxwell's original superluminal e/m set of equations.
Here is a preview of the huge experiment carried out by some of the top physicists in their field, no further need to carry out another test at KATRIN, a definite result that proves that muon neutrinos are tachyons (negative/imaginary mass):
You won't believe what happened after this.
Quantum entanglement isn't the same thing as tachyons.
You can't send information faster than light using quantum entanglement, and sending information faster than light is what is exciting about tachyons, which as of yet, are imaginary.
I can shine a laser pointer at the moon and move it across it, and that dot can certainly travel faster than light if I move my hand quick enough, but it's not true ftl. Quantum entanglement and other pseudo-ftl is just like that. You can't use any of it to send information, therefore it's not really faster than light.
Your image you linked is not proof, link to the actual article. I'm not aware of any confirmed results finding ftl particles, only a few that were later found to be from faulty equipment. Please link actual sources, not cherry-picked screenshots.