Year: 2025
Type: article
Abstract: A bstract We investigate fermion mass hierarchies in models with modular flavor symmetries. Several key conclusions arise from the observation that the determinants of mass matrices transform as 1-dimensional vector-valued modular forms. We demonstrate that, under some fairly general assumptions, achieving hierarchical fermion masses requires the vacuum expectation value of the modulus τ to be located near one of the critical points, i, i ∞, or ω . We also revisit the universal near-critical behavior around these points and classify the resulting mass hierarchies for the critical points i and ω . We compare the traditional Froggatt–Nielsen mechanism with its modular variant. The knowledge and boundedness of Fourier and Taylor coefficients are crucial to the predictive power of modular flavor symmetries.
Source: Journal of High Energy Physics
Authors: Mu-Chun Chen, Xueqi Li, Xiang-Gan Liu, Michael Ratz
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4414807673