Color embeddings, charge assignments, and proton stability in unified gauge theories

Algebraic structure of lepton and quark flavor invariants andCPviolation

“…This means that I (−) 6,6 is an independent invariant, but the square and all higher powers of I (−) 6,6 are not. The square of the CP -odd invariant I (−) 6,6 is CP -even, and can be written as a polynomial (with 241 terms out of a possible 305 terms) in the CP -even invariants of eq.…”

“…Rephasing invariance also exists for the lepton mixing matrix. In a previous paper [5], we extended the analysis of rephasing invariants to give a complete classification of these invariants for the Standard Model, and for the seesaw model [6].…”

“…Multiplying by A and taking the trace implies 6) so that A n , n ≥ 3 can be written in terms of A and A 2 . Thus, there are two independent invariants, I 2,0 = X U and I 4,0 = X U 2 , which can be constructed from X U alone.…”

Search for supersymmetry inppcollisions ats=7 TeVin final states with missing transverse momentum andAad1, Abbott2, Abdallah3 et al. 2012Phys. Rev. D

“…The search is mostly sensitive to the gluino-mediated production of third generation squarks. Results are interpreted in the framework of various simplified models in which scalar bottoms and tops are the only squarks that appear in the gluino decay cascade, and in specific grand unification theories (GUTs) based on the gauge group SO (10) [19,20]. The GUT group SO(10) is especially compelling since it allows for gauge and matter unification.…”

Asymptotic freedom constraints on grand unified gauge theories

“…not only have these theories passed many phenomena 1 ogi ca 1 tests (for recent reviews, see [ 5 ,6J), but they possess general properties, such as renormalizabil ity [7 ,sJ and asymptotic freedom [9,10], which many theorists find attractive. Thus, it is not surprising that there have been many attempts [11-26~ to construct a grand unified gauge theory of elementary particle interactions, in which only the role of gravitation is at present uncertain (for attempts to include gravitation, see (27] and the works cited therein).…”