The article by CMS where the evidence is discuss is titled "Properties of the observed Higgs-like resonance decaying into two photons". A search for possible other resonance decaying to a gamma pair was made, and the results are given by figure 3 of the paper, which can be found also in the posting of Lubos. The figure demonstrates excess around 136.5 GeV. The local signficance is reported to be 2.73 sigma, which is far from the discovery value of 5 sigma. It must be emphasized that ATLAS does not see the bump: Matt Strassler draws from this the conclusion that there is nothing there. Also this logic is wrong: either ATLAS or CMS is wrong and we cannot a priori know which of them.
The basic LHC prediction of TGD is a scaled up copy of ordinary hadron physics. I have used to call this physics M89 hadron physics since it corresponds to Mersenne prime M89 whereas ordinary hadron physics corresponds to M107. The strange findings made already at RHIC and repeated at LHC for both heavy ion collisions and proto-heavy ion collisions in conflict with the expectations from perturbative QCD expectations could be explainable in terms of string like objects of M89 hadrons physics decaying to ordinary hadrons. If one takes seriously the observations of Fermi satellite suggesting the existence of particle with mass about 135 GeV and identifies it as the pion of M89 hadron physics, one can wonder whether also LHC has detected M89 pion from its decays to gamma pairs. Note that the standard interpretation of Fermi particle as a dark matter particle assignable to SUSY has been excluded. This would be encouraging but the experiences during few years have however taught that these bumps come and go and must be taken as entertainment in the dull life of theoretician.