# Linear seesaw model with a modular S4 flavor symmetry

• We discuss a linear seesaw model with a field content as minimum as possible, introducing a modular $S_4$ using gauged $U(1)_{B-L}$ symmetries. Owing to the rank two neutrino mass matrix, we obtain a vanishing neutrino mass eigenvalue, and only the normal mass hierarchy of neutrinos is favored via the modular $S_4$ symmetry. In our numerical $\Delta \chi^2$ analysis, we especially determine a relatively sharp prediction on the sum of neutrino masses to be approximately $60$ meV, in addition to other predictions.

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Takaaki Nomura and Hiroshi Okada. Linear seesaw model with a modular S4 flavor symmetry[J]. Chinese Physics C. doi: 10.1088/1674-1137/ac4975
Takaaki Nomura and Hiroshi Okada. Linear seesaw model with a modular S4 flavor symmetry[J]. Chinese Physics C.
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沈阳化工大学材料科学与工程学院 沈阳 110142

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## Linear seesaw model with a modular S4 flavor symmetry

###### Corresponding author: Takaaki Nomura, nomura@scu.edu.cn
• 1. College of Physics, Sichuan University, Chengdu 610065, China
• 2. Asia Pacific Center for Theoretical Physics (APCTP) - Headquarters San 31, Hyoja-dong, Nam-gu, Pohang 790-784, Korea
• 3. Department of Physics, Pohang University of Science and Technology, Pohang 37673, Korea

Abstract: We discuss a linear seesaw model with a field content as minimum as possible, introducing a modular $S_4$ using gauged $U(1)_{B-L}$ symmetries. Owing to the rank two neutrino mass matrix, we obtain a vanishing neutrino mass eigenvalue, and only the normal mass hierarchy of neutrinos is favored via the modular $S_4$ symmetry. In our numerical $\Delta \chi^2$ analysis, we especially determine a relatively sharp prediction on the sum of neutrino masses to be approximately $60$ meV, in addition to other predictions.

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