https://doi.org/10.1140/epjc/s10052-023-11718-1
Regular Article - Theoretical Physics
Texture zeros of quark mass matrices at fixed point 
in modular flavor symmetry
1
Department of Physics, Hokkaido University, 060-0810, Sapporo, Japan
2
Department of Physics, Niigata University, 950-2181, Niigata, Japan
a
s-kikuchi@particle.sci.hokudai.ac.jp
Received:
29
March
2023
Accepted:
15
June
2023
Published online:
11
July
2023
We study systematically derivation of the specific texture zeros, that is the nearest neighbor interaction (NNI) form of the quark mass matrices at the fixed point in modular flavor symmetric models. We present models that the NNI forms of the quark mass matrices are simply realized at the fixed point in the 
modular flavor symmetry by taking account multi-Higgs fields. Such texture zero structure originates from the ST charge of the residual symmetry 
of SL(2, Z). The NNI form can be realized at the fixed point 
in and 
modular flavor models with two pairs of Higgs fields when we assign properly modular weights to Yukawa couplings and and representations to three generations of quarks. We need four pairs of Higgs fields to realize the NNI form in 
modular flavor models.
© The Author(s) 2023
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