Discrete $R$-symmetry, Various Energy Scales and Gravitational Waves

Abstract

We present a supersymmetric model where energy scales of a discrete $R$-symmetry breaking ($Z_{6R}$) and cosmic inflation are commonly attributed to the confinement scale of a hidden $Sp(2)$ strong dynamics. Apart from these, SUSY-breaking scale, the Higgsino mass and the right-handed neutrino masses are all shown to stem from $Z_{6R}$ breaking scale inferred from CMB observables. We will show that the model is characterized by the SUSY-breaking soft mass $m_{\mathrm{soft}}\simeq 100-1000\mathrm{TeV}$ and the reheating temperature $T_{\mathrm{rh}}\simeq 10^9\mathrm{GeV}$. Then we discuss how these predictions of the model can be tested with the help of the spectrum of the gravitational wave induced by the short-lived cosmic string present during the reheating era.

22 pages, 3 figures