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We study the spontaneous R-symmetry breaking model and investigate thecosmological constraints on this model due to the pseudo Nambu-Goldstone boson,R-axion. We consider the R-axion which has relatively heavy mass in order tocomplement our previous work. In this regime, model parameters, R-axions massand R-symmetry breaking scale, are constrained by Big Bang Nucleosynthesis andoverproduction of the gravitino produced from R-axion decay and thermal plasma.We find that the allowed parameter space is very small for high reheatingtemperature. For low reheating temperature, the U(1)_R breaking scale f_a isconstrained as f_a<10^{12-14}GeV regardless of the value of R-axion mass.

More on cosmological constraints on spontaneous R-symmetry breaking models