- Open Access
Natural solution of SUSY problem from modulus stabilization in modular flavor model
Phys. Rev. D 112, 115040 – Published 26 December, 2025
DOI: https://doi.org/10.1103/8z51-3zgf
Abstract
We propose a solution to the supersymmetry (SUSY) problem within the framework of modular flavor symmetry. The explicit term is prohibited by modular symmetry, and an effective term is regenerated following the stabilization of the modulus field. We examine the stabilization mechanism of a single modulus field with the presence of SUSY breaking contributions described by the nonlinear SUSY realization scheme involving a nilpotent Goldstino superfield. A natural small , significantly smaller than the SUSY scale, can result from either the expansion of typical modular forms using a small deviation parameter near the fixed point , or from the combined effects of suppression by powers of [or ] along with the asymptotic suppression behavior of typical modular forms away from the fixed point , taking the form of appropriate power of the tiny deviation parameter. A natural small can also be achieved by a weightonlike mechanism for bilinear.
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