Tree Unitarity in Broken Supergravity. 1. Single Gravitino Amplitude

Tree unitarity is studied in a spontaneously broken N =1 supergravity theory containing nonabelian gauge interactions through the high energy behaviour of the amplitude for the reaction gauge boson + gauge boson → gaugino + gravitino. The leading energy dependence expected naively, gets cancelled through super-current conservation. The subleading energy growth survives and leads to a unitarity violation at a critical c.m. energy E cr ∼96πg −1 κ −1 m 3 2 (m g ̃ −2m 3 2 ) −1 . The requirement E cr ≳ κ −1 imposes an upper bound m g ̃ m 3 2 −1 ≲ 2 + 96πg −1 on the gauginogravi tino mass ratio.

supergravity
supersymmetry: symmetry breaking
postulated particle: gravitino
scattering amplitude: asymptotic behavior
current: conservation law
unitarity
UNITARITY

References(7)

Figures(0)

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