Flavored Dark Sectors running to low energy

TL;DR

This paper analyzes how a heavy mediator connecting the Standard Model to a Dark Sector influences low-energy interactions, focusing on flavor structures, operator running, and mixing, with implications for flavored Dark Matter.

Contribution

It provides a comprehensive study of flavor-dependent operator evolution and matching in effective field theories involving dark sectors, including explicit RGEs and numerical solutions.

Findings

Operator mixing affects low-energy dark sector interactions.

Explicit RGEs facilitate understanding of flavor-dependent effects.

Results are applicable to flavored Dark Matter models.

Abstract

We consider the effective field theory generated by a heavy mediator that connects Standard Model particles to a Dark Sector, considering explicitly the flavor structure of the operators. In particular, we study the model independent running and mixing between operators, as well as their matching at the electroweak scale. In addition to the explicit expression of the Renormalization Group Equations, we show the numerical solutions as well as some approximate analytical expressions that help understanding these solutions. At low energy, our results are particularly important in the case of light dark sectors communicating to the b quark, and can be immediately applied to flavored Dark Matter.