Starobinsky-like inflation and soft-SUSY breaking

Understand

We study a version of Starobinsky-like inflation in no-scale supergravity (SUGRA) where a Polonyi term in the hidden sector breaks supersymmetry (SUSY) after inflation, providing a link between the gravitino mass and inflation.

• We extend the theory to the visible sector and calculate the soft-SUSY breaking parameters depending on the modular weights in the superpotential and choice of K\"ahler potential.
• We are led to either no-scale SUGRA or pure gravity mediated SUSY breaking patterns, but with inflationary constraints on the Polonyi term setting a strict upper bound on the gravitino mass $m_{3/2} < 10^3$ TeV.
• Since gaugino masses are significantly lighter than $m_{3/2}$, this suggests that SUSY may be discovered at the LHC or FCC.