The first string-derived eclectic flavor model with realistic phenomenology

TL;DR

This paper introduces a string-derived eclectic flavor model combining modular and traditional symmetries, successfully explaining fermion mass hierarchies and neutrino properties with minimal parameters.

Contribution

It presents the first realistic string-inspired eclectic flavor model that naturally explains fermion hierarchies and neutrino masses, integrating modular and traditional symmetries.

Findings

Reproduces all lepton sector observables with few parameters

Predicts neutrino observables not yet measured

Achieves a simultaneous quark-lepton fit using Kaehler corrections

Abstract

Eclectic flavor groups arising from string compactifications combine the power of modular and traditional flavor symmetries to address the flavor puzzle. This top-down scheme determines the representations and modular weights of all matter fields, imposing strict constraints on the structure of the effective potential, which result in controlled corrections. We study the lepton and quark flavor phenomenology of an explicit, potentially realistic example model based on a T6/Z3xZ3 orbifold compactification of the heterotic string that gives rise to an Omega(2) eclectic flavor symmetry. We find that the interplay of flavon alignment and the localization of the modulus in the vicinity of a symmetry-enhanced point leads to naturally protected fermion mass hierarchies, favoring normal-ordered neutrino masses arising from a see-saw mechanism. We show that our model can reproduce all observables in the lepton sector with a small number of parameters and deliver predictions for so far undetermined neutrino observables. Furthermore, we extend the fit to quarks and find that Kaehler corrections are instrumental in obtaining a successful simultaneous fit to the quark and lepton sectors.