![]() ![]() This finite group is equivalent to "octahedral symmetry" which is nicely described in the wikipedia article: Ī "complex group algebra" is an algebra obtained from a finite group by using the finite group as a complete set of basis vectors for a vector space over the complex numbers. Since there are 4! = 24 permutations on 4 objects, that's the size of this group. the finite group that consists of the permutations on a set of 4 objects. ![]() "S_4" is the "symmetric group on 4 objects", i.e. The cool thing about this complex group algebra is that in addition to specifying the symmetry it also defines the particle content, i.e. It turns out to be the symmetry of pure density matrices (and therefore state vectors) if their mixed density matrices happen to be members of the complex group algebra C (and therefore have the symmetry of that algebra). But I think we can talk about where the symmetry comes from as a matter of the mathematics used in physics. I shouldn't have mentioned the SU(3)xSU(3)xSU(2)xU(1)xU(1) idea as it's not appropriate in this venue. Or if they treated it as a regular boson it would mean that there would be another sparticle out there somewhere conveniently too heavy to find. And if it were obvious how to do that I'd think someone would have already written it up. I would think it would be difficult to treat the new boson as a super partner to an already known Standard Model fermion because there would be a bunch of characteristics it would need to meet. But I haven't seen anyone talk about the 16.7MeV boson and SUSY. I don't know anything about SUSY, I just go to the talks and read the dumbed-down articles. We will show here that there is room for X boson, if the simple SU(3)xSU(2)xU(1)xU(1) model is adopted. In this work, we find that the newly observed boson X(16.7) may be the solution of both NuTeV anomaly and the (g−2)μ puzzle. By comparing the discrepancies between the standard model predictions and the experimental results, we manage to find out the values and regions of the couplings of X(16.7) to muon and muon neutrino. We study the significance of this new boson, especially its effect in anomalies observed in long-lasting experimental measurements. This exceptional result is attributed to a new vector gauge boson X(16.7). School of Physics, University of Chinese Academy of Sciences, CAS Center for Excellence in Particle PhysicsĪbstract: A recent experimental study of excited 8Be decay to its ground state reveals an anomaly in the final states angle distribution. Yi Liang, Long-Bin Chen and Cong-Feng Qiao ![]()
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