Scattering of massive W bosons into gravitinos and tree unitarity in broken supergravity

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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26 pages, 17 figures. Uses JHEP3.cls, epsfig.sty and axodraw.sty. Some references, together with Ward identities in the basis

Scientific paper

10.1088/1126-6708/2009/01/070

The WW scattering into gravitino and gaugino is here investigated in the broken phase, by using both gauge and mass eigenstates. Differently from what is obtained for unbroken gauge symmetry, we find in the scattering amplitudes new structures, which can lead to violation of unitarity above a certain scale. This happens because, in the annihilation diagram, the longitudinal degrees of freedom in the propagator of the gauge bosons disappear from the amplitude, by virtue of the SUGRA vertex. We show that the longitudinal polarizations of the on-shell W become strongly interacting in the high energy limit, and that the inclusion of diagrams with off-shell scalars of the MSSM does not cancel the divergences.

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