Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-11-06
Phys.Lett.B649:186-190,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
6 pages
Scientific paper
10.1016/j.physletb.2007.03.055
Recently, Cohen and Glashow pointed out that all known experimental tests of relativistic kinematics are consistent with invariance of physics under the four-parameter subgroup Sim(2) of the Lorentz group. The massive one-particle irreducible representations of ISim(2), that is Sim(2) times spacetime translations, are all one-dimensional, labeled by spin along a preferred axis. Consequently particle theories based on this symmetry can accomodate lepton number conserving masses for left-handed neutrinos without the need to introduce sterile states. The same property of massive particle representations, however, also leads to the possibility that particle masses may be split within the diffferent spins of a representation of the ordinary Poincare group. In this article we investigate the low-energy structure of theories with spin dependent masses and comment on the bounds on such effects.
Fan Jianhua
Goldberger Walter D.
Skiba Witold
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