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.

Highlights

  • Over the last few years, dark sectors have started to play an increasingly important role in physics beyond the Standard Model (BSM)

  • We turn to the numerical solution of the renormalization group equations (RGEs) presented in Eqs. (3.2) and (3.6)

  • We have studied the running and mixing of operators of a dark sector effective field theory (EFT), under the hypothesis that the operators are generated by a heavy flavorful mediator

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Summary

Introduction

Over the last few years, dark sectors have started to play an increasingly important role in physics beyond the Standard Model (BSM). Dark sectors are implicitly present in many dark matter (DM) models Many dark sectors predict the existence of long-lived particles, for which a new extensive experimental program is being developed What we consider in this paper is a generic dark sector, communicating with the Standard Model (SM) via some unspecified mediator X of which the interactions are allowed to be flavor off diagonal.

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