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Flavor Portal to Dark Matter

This talk by Andreas Crivellin outlines the connection between quark masses, CKM elements, and flavour symmetries in the context of dark matter. It discusses the potential role of an explicit U(1) model, relic density, direct detection, and flavour constraints, and concludes with an outlook on future research possibilities.

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Flavor Portal to Dark Matter

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  1. Flavor Portal to Dark Matter Andreas Crivellin

  2. Outline • Quark masses and CKM elements • Froggatt Nielsen and Flavour Symmetries • Flavour Portal to Dark Matter • Explicit U(1) model • Relic Density • Direct detection • Flavour constraints (Kaon mixing) • Conclusion and Outlook

  3. Quark masses Volume of the sphere is proportional to the mass Quark masses are strongly hierarchical

  4. CKM elements • Vub • Vcb • Vus • Kaon decays • CKM elements are hierarchical

  5. CKM elements Update of AC, S. Pokorski ‘2014 Inclusive and exclusive determinationsof the Vub andVcb do notagree well. Right-handed W-b-u coupling? No new physics in CKM elements

  6. Global CKM fit • CKM fit work very well • Strong constraints on New Physics

  7. Flavour Puzzle • How do we explain the hierarchy of the CKM elements and the quark masses? • Hints for a organizing principle? • Dynamical Explanation?

  8. Froggatt Nielsen ’79, Leurer Seiberg Nir ’92, ‘93 Froggatt Nielsen Mechanism SM fermions are charged under a new flavour symmetry Vector-like fermionscharged under the flavour symmetry are added SM scalar singlets with flavour charge breaks the flavour symmetry (flavons) by the vev

  9. Chankowski et al. ‘05 U(1) Example

  10. Dark Matter Existence established on cosmological scales Weakly interacting SM singlet?! Why is it stable? How is it connected to the SM (relic density)

  11. L. Calibbi, AC, B. Zaldivar ’14 Flavour Portal to Dark Matter • DM is a SM singlet but is charged under the flavour symmetry • Minimal (no additional quantum number etc.) • Stability can be ensured • Flavour interactions connect DM with the Standard Model • Flavour symmetry • Global: Flavon exchange • Local: Flavour gauge boson exchange

  12. Flavour Constraints • Best constraints from Kaon mixing on U(1) models • SM is smallest • Flavour charges are highest Calibbi, Lalak, Pokorski, ’12

  13. Direct Detection • Spin independent MFV-like couplings

  14. Flavon Exchange: Relic Density Flavour constraints

  15. Flavon exchange: Direct Detection

  16. Z’ exchange allowed Relic density works of the resonance

  17. Conclusions • Flavour symmetries explain the hierarchy of quark masses and mixing • In a general class of models, Dark Matter is charged under some flavour symmetry and interacts with the SM via • Flavons (scalars) • Flavour gauge bosons (vectors) • In abelian models one finds strong constraints from Kaon Physics

  18. Outlook Bishara, Greljo, et al., ‘15 Falkowski, Nardecchia, Ziegler ‘15 • DM with different Flavour Symmetries • SU(3) with DM • SU(2)xU(1) can explain theanomalies • A4, etc… • Effects in • Inclusion of the lepton sector • Effects in semileptonic Kaon decays Talk of Lewis Tunstall

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