The particle content of the Singh-Hagen model (SH) in <math id="M2"><mi>D</mi></math> dimensions is revisited. We suggest a complete set of spin-projection operators acting on totally symmetric rank-3 fields. We give a general expression for the propagator and determine the coefficients of the SH model confirming previous results of the literature. Adding source terms, we provide a unitarity analysis in <math id="M3"><mi>D</mi></math> dimensions. In addition, we have also analyzed the positivity of the massless Hamiltonian.

Brazil

Elias L. Mendonça

R. Schimidt Bittencourt

Unitarity of Singh-Hagen Model in Dimensions

We investigate physics opportunities to constraint the leptonic CP-violation phase CP through numerical analysis of working neutrino oscillation probability parameters, in the context of long-baseline experiments. Numerical analysis of two parameters, the transition probability CP phase sensitivity parameter ( AM ) and the CP-violation probability CP phase sensitivity parameter ( ACP ), as functions of beam energy andor baseline have been carried out. It is an elegant technique to broadly analyze different experiments to constrain the CP phase and also to investigate the mass hierarchy in the leptonic sector. Positive and negative values of the parameter ACP , corresponding to either hierarchy in the specific beam energy ranges, could be a very promising way to explore the mass hierarchy and CP phase. The keys to more robust bounds on the CP phase are improvements of the involved detection techniques to explore lower energies and relatively long baseline regions with better experimental accuracy.

India

Mandip Singh

Studying the physics potential of long-baseline experiments in terms of new sensitivity parameters

This article illustrates the possibility of investigating the mass hierarchy and CP-violating phase CP in the context of CP trajectory diagrams in the biprobability plane. The separation between the normal mass hierarchy (NH) and inverted mass hierarchy (IH) CP trajectory ellipses in the P PT plane seems to be very promising as a means of investigating the mass hierarchy. An illustration of the separation between the two hierarchy ellipses in the E L plane is very helpful to cover all the desired baselines and beam energies and also to analyze the benefits and drawbacks in one step. If we know the mass hierarchy, then, from the large sizes of CP trajectory ellipses that are possible at appropriately long baselines ( L ) and at specific values of beam energy ( E ), it becomes possible to investigate at least narrow ranges of the CPT-violating phase CP . The possibility of more than one set of ( 13,CP ) parameters corresponding to any chosen coordinate in the P PT plane, known as parameter degeneracy, may hinder the exact determination of the mass hierarchy as well as the CP value. To circumvent this degeneracy in the ( 13,CP ) parameter space, in the case of opposite-sign solutions corresponding to the NH and IH cases, sufficiently long baselines are needed, so as to separate the opposite hierarchy ellipses to create an observable separation; in the case of same-sign solutions corresponding to either NH or IH, we need to choose an experimental configuration with L2535 km, E5 GeV for the n1 scenario.