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  • Open Access

Natural solution of SUSY μ problem from modulus stabilization in modular flavor model

Hong Jie Fan, Fei Wang*, and Ying Kai Zhang

  • *Contact author: feiwang@zzu.edu.cn

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) μ problem within the framework of modular flavor symmetry. The explicit μ term is prohibited by modular symmetry, and an effective μ 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 Xnl superfield. A natural small μeff, 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 ω, or from the combined effects of suppression by powers of q1/24 [or (2ℑτ)−1] along with the asymptotic suppression behavior of typical modular forms away from the fixed point i∞, taking the form of appropriate power of the tiny deviation parameter. A natural small μeff can also be achieved by a weightonlike mechanism for HuHd bilinear.

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