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We consider a restricted Type-I seesaw scenario with four texture zeros inthe neutrino Yukawa matrix, in the weak basis where both the charged-leptonYukawa matrix and the Majorana mass matrix for right-handed neutrinos arediagonal and real. Inspired by grand unified theories, we further require theneutrino Yukawa matrix to exhibit a similar hierarchical pattern to that in theup-type quark Yukawa matrix. With such a hierarchy requirement, we find thatleptogenesis, which would operate in a $N_2^{}$-dominated scenario with theasymmetry generated by the next-to-lightest right-handed neutrino $N_2^{}$, cangreatly reduce the number of allowed textures, and disfavors the scenario thatthree light neutrinos are quasi-degenerate. Such a quasi-degenerate scenario oflight neutrinos may soon be tested in upcoming neutrino experiments.

Confronting Four Zero Neutrino Yukawa Textures with $N_2^{}$-dominated Leptogenesis