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Multi-phase criticality Martti Raidal Multi-phase criticality Martti Raidal

Multi-phase criticality Martti Raidal - PowerPoint Presentation

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Multi-phase criticality Martti Raidal - PPT Presentation

NICPB Tallinn 01122022 Dark Matters 2022 1 210201084  hep ph 220100824  hep ph 220401744  hep ph Work in progress   Outline Explain hierarchies in physics scales absence of NP at the LHC with ID: 1045510

matters 2022dark phase multi 2022dark matters multi phase scalar criticality higgs symmetry freeze couplings induced dilaton scale dynamical weinberg

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1. Multi-phase criticalityMartti RaidalNICPB, Tallinn01.12.2022Dark Matters 202212102.01084 [hep-ph]2201.00824 [hep-ph]2204.01744 [hep-ph]Work in progress 

2. OutlineExplain hierarchies in physics scales (absence of NP at the LHC) with:Multi-phase criticality and Coleman-Weinberg mechanismFreeze-out in DM induced multi-phase dynamical symmetry breakingFreeze-in in DM induced multi-phase dynamical symmetry breakingConclusions01.12.2022Dark Matters 20222

3. Classically scale invariant Higgs-Dilaton modelPhasePhase Phase Multi-phase criticality: masses and mixings vanish 01.12.2022Dark Matters 20223

4. CW mechanism and multi-phase criticalityDynamical symmetry breaking around the MP criticality: GW not good01.12.2022Dark Matters 20224𝜷-function suppressed𝜷-function suppressed𝜷-function suppressedFor small couplings the CW must be treated with better precision than the Gildener-Weinberg approximation

5. The origin of the effectArrange tree-level Gildener-Weinberg flat direction along the s-axisQuantum effects bend the flat direction to a bananaUsually this is just neglected small effectDue to the multi-phase criticality, the EW scale is loop suppressed01.12.2022Dark Matters 20225

6. CommentsIn realistic models couplings never run to zero at the same scale:Small quartic couplings: inflaton 𝜆<10-12, Higgs 𝜆(1010GeV), freeze-inTop Yukawa affects perpendicular direction of the flat directionIn realistic models one need more scalar couplings to have dynamical symmetry breaking along the multi-phase criticality direction01.12.2022Dark Matters 20226

7. DM induced multi-critical dynamical symmetry breakingThe scalar model: the Higgs, a dilaton and scalar DM01.12.2022Dark Matters 20227Scalar DM must be heavy, the dilaton can be heavier or lighter than the Higgs bosonOne scale w

8. DM freeze out in this model01.12.2022Dark Matters 20228

9. DM freeze out in the Gildener-Weinberg limit01.12.2022Dark Matters 20229

10. DM freeze-in in the multi-critical frameworkAll scalar couplings, except the Higgs quartic, must be super smallCriticality naturally embedded:A possibility: introduce RH neutrinos NNeutrino masses and leptogenesis coming from the same framework01.12.2022Dark Matters 202210

11. DM induced CW and freeze-in results01.12.2022Dark Matters 202211Dilaton never thermalizes

12. DM induced hierarchy in scales01.12.2022Dark Matters 202212

13. ConclusionsMulti-phase criticality combines “small” and “large” scalar couplingsThe scalar DM is heavy, it triggers the CW and the loop-suppressed EW scaleHuge but technically natural hierarchy between the EW and DM scalesNeutrino masses and leptogenesis may be obtained in a standard wayThis scenario predicts one more light scalar, the dilaton, which may be lighter or heavier than the SM Higgs boson. 01.12.2022Dark Matters 202213