We suggest two types of extension of the standard model, which are the so-called next to new minimal standard model type-II and -III. They can achieve gauge coupling unification as well as suitable dark matter abundance, small neutrino masses, baryon asymmetry of the universe, inflation, and dark energy. The gauge coupling unification can be realized by introducing two or three extra new fields, and they could explain charge quantization. We also show that there are regions in which the vacuum stability, coupling perturbativity, and correct dark matter abundance can be realized with current experimental data at the same time.
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We are grateful to Shigeki Matsumoto and Osamu Seto for useful discussions. This work is partially supported by Scientific Grant by Ministry of Education and Science, Nos. 00293803, 20244028, 21244036, 23340070, and by the SUHARA Memorial Foundation. The works of K.K. and R.T. are supported by Research Fellowships of the Japan Society for the Promotion of Science for Young Scientists.