Renormalization-group running across sectors in the E6L × E6R framework

Develop a quantitative renormalization-group analysis across the left and right sectors of the E6^L × E6^R framework that consistently evolves the model’s mass-ratio boundary conditions and mixing inputs to experimental schemes and scales, including thresholds and matching.

Background

The paper emphasizes fair, scale-matched comparisons ("apples-to-apples") of mass ratios and CKM elements, noting that quark masses are scheme- and scale-dependent. Although illustrative comparisons are performed, a full RG treatment specific to the proposed E6^L × E6^R setup is not provided.

The authors explicitly flag as an open issue the need for quantitative RG running across sectors in this framework, which would connect the exceptional Jordan algebra boundary conditions to measured MSbar masses and mixings at common scales.