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Extra Higgses at LHC: Extra Higgses at LHC: EW Road to Baryogenesis The EW Road to Baryogenesis The Jose Miguel No (Sussex U.) Jose Miguel No 1310.6035 (PRD) with M. Ramsey-Musolf. 1305.6610 (JHEP), 1405.5537 (PRL), with G. Dorsch, S. Huber, K.


  1. Extra Higgses at LHC: Extra Higgses at LHC: EW Road to Baryogenesis The EW Road to Baryogenesis The Jose Miguel No (Sussex U.) Jose Miguel No 1310.6035 (PRD) with M. Ramsey-Musolf. 1305.6610 (JHEP), 1405.5537 (PRL), with G. Dorsch, S. Huber, K. Mimasu. + Work in Progress Liverpool, March 2015

  2. Motivation What is the Origin of the Baryon Asymmetry? What is the Origin of the Baryon Asymmetry? (from BBN) (from BBN) 1

  3. Motivation What is the Origin of the Baryon Asymmetry? What is the Origin of the Baryon Asymmetry? Possible Explanations... Possible Explanations... (from BBN) (from BBN)   Baryogenesis at EW Scale Baryogenesis at EW Scale TESTABLE! TESTABLE!   ... ... 1

  4. Motivation What is the Origin of the Baryon Asymmetry? What is the Origin of the Baryon Asymmetry? Possible Explanations... Possible Explanations... (from BBN) (from BBN)   Baryogenesis at EW Scale Baryogenesis at EW Scale TESTABLE! TESTABLE!   ... ... ( for dynamical generation ( for dynamical generation Sakharov Conditions Sakharov Conditions of baryon asymmetry ) ) of baryon asymmetry B Violation Violation B C / / CP CP Violation Violation C Departure from Thermal Equilibrium Departure from Thermal Equilibrium 1

  5. Motivation What is the Origin of the Baryon Asymmetry? What is the Origin of the Baryon Asymmetry? Possible Explanations... Possible Explanations... (from BBN) (from BBN)   Baryogenesis at EW Scale Baryogenesis at EW Scale TESTABLE! TESTABLE!   ... ... ( for dynamical generation ( for dynamical generation Sakharov Conditions Sakharov Conditions of baryon asymmetry ) ) of baryon asymmetry Sphalerons ✓ Sphalerons ✓ B Violation Violation B V. A. Kuzmin, V. A. Rubakov, M. Shaposhnikov, Phys. Lett. B 155 (1985) 36 SM SM ✗ ✗ not enough C / / CP CP Violation Violation not enough C ✗ ✗ not enough not enough Departure from Thermal Equilibrium Departure from Thermal Equilibrium 1

  6. Motivation What is the Origin of the Baryon Asymmetry? What is the Origin of the Baryon Asymmetry? Possible Explanations... Possible Explanations... (from BBN) (from BBN)   Baryogenesis at EW Scale Baryogenesis at EW Scale TESTABLE! TESTABLE!   ... ... ( for dynamical generation ( for dynamical generation Sakharov Conditions Sakharov Conditions of baryon asymmetry ) ) of baryon asymmetry Sphalerons ✓ Sphalerons ✓ B Violation Violation B V. A. Kuzmin, V. A. Rubakov, M. Shaposhnikov, Phys. Lett. B 155 (1985) 36 BSM BSM ? ? C / / CP CP Violation Violation C ? ? Departure from Thermal Equilibrium Departure from Thermal Equilibrium EDMs New CP Sources New CP Sources First Order EW Phase Transition: First Order EW Phase Transition: LHC New Bosons at EW Scale New Bosons at EW Scale 1

  7. Motivation What is the Origin of the Baryon Asymmetry? What is the Origin of the Baryon Asymmetry? Possible Explanations... Possible Explanations... (from BBN) (from BBN)   Baryogenesis at EW Scale Baryogenesis at EW Scale TESTABLE! TESTABLE!   ... ... LHC Signatures Revealing 1 st Order EW Phase Transition ( for dynamical generation ( for dynamical generation Sakharov Conditions Sakharov Conditions of baryon asymmetry ) ) of baryon asymmetry Sphalerons ✓ Sphalerons ✓ B Violation Violation B V. A. Kuzmin, V. A. Rubakov, M. Shaposhnikov, Phys. Lett. B 155 (1985) 36 (LHC Road to Baryogenesis) ? ? C / / CP CP Violation Violation C ? ? Departure from Thermal Equilibrium Departure from Thermal Equilibrium EDMs New CP Sources New CP Sources First Order EW Phase Transition: First Order EW Phase Transition: LHC New Bosons at EW Scale New Bosons at EW Scale 1

  8. EW Phase Transition & Baryogenesis  Universe Expands Adiabatically  Equilibrium Thermal Field Theory Equilibrium Thermal Field Theory Universe Expands Adiabatically Finite-T Effective Potential V(  ,T) for the Higgs V(  ,T) ≈ (a T 2 -  2 )  2 - b T  3 +   4 1 st Order: 2 nd Order: 〈〉 = 0  〈〉 =  (T) Discontinuous 〈〉 = 0  〈〉 =  (T) Continuous (T>>v) Restoration (T>>v) EW Symmetry EW Symmetry Restoration 2

  9. EW Phase Transition & Baryogenesis  Universe Expands Adiabatically  Equilibrium Thermal Field Theory Equilibrium Thermal Field Theory Universe Expands Adiabatically Finite-T Effective Potential V(  ,T) for the Higgs V(  ,T) ≈ (a T 2 -  2 )  2 - b T  3 +   4 1 st Order: 2 nd Order: 〈〉 = 0  〈〉 =  (T) Discontinuous 〈〉 = 0  〈〉 =  (T) Continuous Larger m h New Bosons In the SM ( m = 125 GeV = 125 GeV ) ) EW Phase Transition Smooth CrossOver In the SM ( m h h EW Phase Transition Smooth CrossOver K. Kajantie, M. Laine, K. Rummukainen, M. Shaposhnikov, Phys. Rev. Lett. 77 (1996) 2887 2

  10. EW Phase Transition & Baryogenesis  Universe Expands Adiabatically  Equilibrium Thermal Field Theory Equilibrium Thermal Field Theory Universe Expands Adiabatically Finite-T Effective Potential V(  ,T) for the Higgs Nucleation of True Vacuum Bubbles (in False Vacuum Sea) 1 st Order: J. S. Langer, Ann. Phys. 54 (1969) 258 〈〉 = 0  〈〉 =  (T) Discontinuous S. R. Coleman, Phys. Rev. D 15 (1977) 2929 A. D. Linde, Nucl. Phys. B 216 (1983) 421 Sudden Change in Higgs VEV Sudden Change in Higgs VEV 2

  11. EW Phase Transition & Baryogenesis The EW Baryogenesis Recipe: The EW Baryogenesis Recipe: Baryogenesis Baryogenesis 3

  12. EW Phase Transition & Baryogenesis The EW Baryogenesis Recipe: The EW Baryogenesis Recipe: Baryogenesis Baryogenesis  CP Violation + Transport (diffusion) 3

  13. EW Phase Transition & Baryogenesis The EW Baryogenesis Recipe: The EW Baryogenesis Recipe: Baryogenesis Baryogenesis ➋ Baryon Number Violation  S Sph   5 4  Unsuppressed W T N 3

  14. EW Phase Transition & Baryogenesis The EW Baryogenesis Recipe: The EW Baryogenesis Recipe: Baryogenesis Baryogenesis ➌ Out of Equilibrium  b  Exp(-E Sph /T N )  Suppressed Sph (if 〈〉 /T  1 ) Sudden Change in Higgs VEV Needed for EWBG! 3

  15. EW Scale Baryogenesis Needs:  New Bosons (EW Scale) EW Scale)  New Bosons ( st Order Strong 1 st Order Strong 1 Coupled to SM Higgs EW Phase Transition  EW Phase Transition  Coupled to SM Higgs 4

  16. EW Scale Baryogenesis Needs:  New Bosons (EW Scale) EW Scale)  New Bosons ( st Order Strong 1 st Order Strong 1 Coupled to SM Higgs EW Phase Transition  EW Phase Transition  Coupled to SM Higgs ! ! ! ! s s s s e e e e s s s s g g g g g g g g i i i i H H H H Archetype Scenario: Extended Higgs Sectors Extended Higgs Sectors Archetype Scenario: e e e e r r r r o o o o M M M M  Simple Extensions of the SM  Provide Missing Ingredients for EW Baryogenesis I will discuss two well-motivated scenarios: I will discuss two well-motivated scenarios: 2HDM 2HDM Higgs Portal (Singlet) Higgs Portal Goal: LHC signals of EW Phase Transition LHC signals of EW Phase Transition 4

  17. 2HDM 2HDM A dd a Second Scalar Doublet to the SM dd a Second Scalar Doublet to the SM … A … ℤ 2 ℤ Symmetric Symmetric 2 (softly broken) (softly broken) 5

  18. 2HDM 2HDM A dd a Second Scalar Doublet to the SM dd a Second Scalar Doublet to the SM … A … ℤ 2 ℤ Symmetric Symmetric 2 (softly broken) (softly broken) Provides ALL Needed Ingredients for EW Baryogenesis ( (CP Violation) ) Provides ALL Needed Ingredients for EW Baryogenesis  (For Simplicity, we do not consider CP Violation here For Simplicity, we do not consider CP Violation here) ) ( 5

  19. 2HDM 2HDM A dd a Second Scalar Doublet to the SM dd a Second Scalar Doublet to the SM … A … Provides ALL Needed Ingredients for EW Baryogenesis ( (CP Violation) ) Provides ALL Needed Ingredients for EW Baryogenesis  (For Simplicity, we do not consider CP Violation here For Simplicity, we do not consider CP Violation here) ) ( “ “ ” ” New Heavy Scalars (CP-Even), (CP-Odd) and and New Heavy Scalars (CP-Even), (CP-Odd)  6 New Parameters 6 New Parameters  5

  20. 2HDM 2HDM A dd a Second Scalar Doublet to the SM dd a Second Scalar Doublet to the SM … A … Provides ALL Needed Ingredients for EW Baryogenesis ( (CP Violation) ) Provides ALL Needed Ingredients for EW Baryogenesis  (For Simplicity, we do not consider CP Violation here For Simplicity, we do not consider CP Violation here) ) ( “ “ ” ” New Heavy Scalars (CP-Even), (CP-Odd) and and New Heavy Scalars (CP-Even), (CP-Odd)  6 New Parameters 6 New Parameters  Attention! Attention!     =   light Higgs h is SM-like (Differs from Usual 2HDM Definition by ) = 5

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