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
Motivation What is the Origin of the Baryon Asymmetry? What is the Origin of the Baryon Asymmetry? (from BBN) (from BBN) 1
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
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
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
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
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
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
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
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
EW Phase Transition & Baryogenesis The EW Baryogenesis Recipe: The EW Baryogenesis Recipe: Baryogenesis Baryogenesis 3
EW Phase Transition & Baryogenesis The EW Baryogenesis Recipe: The EW Baryogenesis Recipe: Baryogenesis Baryogenesis CP Violation + Transport (diffusion) 3
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
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
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
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
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
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
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
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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