If the tau were indeed found to exhibit substantially different decay properties from the muon, it would be major news within fundamental physics. The stated statistical significance of the result is quite low, you'll want to wait for more data (which are imminent at LHCb).
A different experiment, BaBar, also sees a similar excess, and the experiments roughly agree. Taken together, the results are near the threshold for "evidence for", but not "discovery of" a new result.
One upside to experiments with leptons (electrons, muons, and taus) is that they're simpler to understand. Anything involving hadronic physics (quarks, gluons, and the zoo of particles made from them, like protons and neutrons) is comparatively difficult to understand.
TL;DR: Stay tuned. The result is of potential importance, but not yet, and could fluctuate away.
http://www.cosmology.info/newsletter/2014.05.pdf http://www.cosmology.info <- the other papers referenced
http://lenr-canr.org/index/Summary/Summary.php sorry, 4000+ papers and many replications are enough for me.
then, unified theories like strings theory is absurd and not even a physical one.
0 explanation of electro gravity effects (Q-Thruster to start with).
...
And then BAM: https://www.youtube.com/watch?v=q43sqytcdLE
I'm standing on the right side and the model I have adapted makes actually sense, so, no, it is nigher good, nor does it explain everything.
I think that "looking to replace it" is a wrong characterization. The idea is to "tweak and improve" it. If this experiment is right, it means that at very high energy there is a small correction due to a new force. (At low energy, the correction would be still there, but it's negligible.) It's not something groundbreaking like "the electrons actually don't exist, sorry".
(But this experiment is only a 2 sigma, so it may disappear when more data arrive.)
Could somebody who is into the field answer how relevant this is, and/or perhaps point to a better source? The article is quite thin on substance, for example, that diagram of the LHCb experiment without caption feels weird, as if it had something to do but we're not even told!