Two Top Utilities of 2HDMs: Electroweak Baryogenesis and Alignment - PowerPoint PPT Presentation

Two Top Utilities of 2HDMs: Electroweak Baryogenesis and Alignment August 2 @ DPF2017, Fermilab George W.S. Hou (NTU) DPF@FNAL, 170802 1 G2HDM-TopTwo

EWBG & Alignment in General 2HDM Outline I. Intro: General 2HDM for BAU II. General 2HDM (w/o Z 2 ) : FCNH Yukawa ρ ij III. EWBG from ρ tt ― Back on Earth ― IV. Bonus: Natural Alignment, w/ ρ tt Protection V. Pheno & Discussion VI. Conclusion: H 0 , A 0 , H ± in Our Time Fuyoto, WSH, Senaha, 1705.05034 WSH & Kikuchi, 1706.07694 George W.S. Hou (NTU) DPF@FNAL, 170802 2 G2HDM-TopTwo

I. Intro: General 2HDM for BAU Two Higgs Doublet Model Whither 1 st Order Phase Trans. / Sufficient CPV? SM: Weak Int. too Weak / Jarlskog Invariant way too small ! All 3 gens.  Mass and CKM suppressed 2HDM: O (1) Higgs Couplings OK / CPV in V( Φ 1 , Φ 2 ) problematic w/ d n Wise to keep V( Φ 1 , Φ 2 ) CP Conserving Comment: Known CPV in CKM  Yukawa’s. Extra Yukawa’s ? Killed by Z 2 (Glashow-Weinberg 1977) for Flavor Conservation. ad hoc General 2HDM: O (1) Higgs Couplings OK / Extra Yukawa’s w/o Z 2 Natural: O (1) ρ tt the driver; ρ tc the backup N.B. SM-like flavor org., plus Data-driven ρ ij : B → D ( * ) τν Anomaly; t → ch; h → μτ ... George W.S. Hou (NTU) DPF@FNAL, 170802 3 G2HDM-TopTwo

II. General 2HDM (w/o Z 2 ) : FCNH ρ i j General Yukawa interaction for up-type quarks υ 1 = υ c β υ 2 = υ s β diagnonal FCNH (flavor changing neural H) Neutral up-type Yukawa interaction alignment limit ! ρ i j → diag. (SM-H) ρ i j ρ ij → FCNH ρ i j N.B. tan β unphysical George W.S. Hou (NTU) DPF@FNAL, 170802 4 G2HDM-TopTwo

III. EWBG from ρ tt strongly 1st order EW phase transition (EWPT) Expanding Bubble of Broken Phase Extra Higgs Thermal Loops To avoid n B washout: w/ O (1) Higgs Couplings Hubble const. 2HDM OK n B changing rate (br) ~ O (1) vev @ T C fig. stolen from Jim Cline (keep υ 1 , υ 2 ) Planck 2014 Baryon Asymm. of n B /s Universe (BAU) n B changing rate (sym) quark diffusion const bubble wall s entropy density bubble wall velocity l.h. fermion density (l.h. top density) coord. oppo. bubble exp. dir. George W.S. Hou (NTU) DPF@FNAL, 170802 5 G2HDM-TopTwo

CPV Top Int eractions CPV source term position in heat bath (Very Early Univ.) # of color function of complex energies for i L , j R physical variation ( ) Baryon Asymm. of n B /s Universe (BAU) BAU  CPV Top Int eractions bubble wall at Bubble Wall skip left-handed Top density detail (Transport) coord. oppo. bubble exp. dir. George W.S. Hou (NTU) DPF@FNAL, 170802 6 G2HDM-TopTwo

CPV Top Int eractions “ Jarlskog ” : both doublets participate CPV source term To understand the plot to follow, suppose ( Y 1 ) tc ≠ 0, ( Y 2 ) tc ≠ 0, ( Y 1 ) tt  ( Y 2 ) tt ≠ 0 (3 params.) all else vanish, and take t β = 1 for convenience then diag. by just but not diag. CPV Source still basically free param. George W.S. Hou (NTU) DPF@FNAL, 170802 7 G2HDM-TopTwo

Robust: Large Parameter Space for EWBG ρ tc , ρ tt satisfy scan over B d, s mixing, b → sγ for illustration ( t β = 1 ) Altunkaynak et al., 1506.00651 Remarkably Sufficient for BAU no obvious diff.  ρ tt driven ! the charm of EWBG sub-TeV small ρ tt υ C / T C > O (1) George W.S. Hou (NTU) DPF@FNAL, 170802 8 G2HDM-TopTwo

Back on Earth SUSY & BSM Nathaniel Craig @ EPS Me: In SUSY there is 2 nd Higgs Doublet, H 0 , A 0 , H ± where do you place them ? Craig: ... they are at e.g. 3 TeV ... Me: OK, you take decoupling limit. George W.S. Hou (NTU) DPF@FNAL, 170802 9 G2HDM-TopTwo

Back on Earth SUSY & BSM Nathaniel Craig @ EPS Me: In SUSY there is 2 nd Higgs Doublet, H 0 , A 0 , H ± where do you place them ? Craig: ... they are at e.g. 3 TeV ... TeV Me: OK, you take decoupling limit. [ backdrop: Alignment by Decoupling ] 2HDM-II N.B. (3000/125) 2 ≈ 600 !! fine tuned George W.S. Hou (NTU) DPF@FNAL, 170802 10 G2HDM-TopTwo

The Alignment Enigma: cos( β‒α) ≈ 0 2HDM-II 2014 ... a new solution also appears quartic forbidden by Z 2  generated by soft breaking, hence “ small ” r.h.s. large √ l.h.s. large √ My Question: Why should l.h.s. = r.h.s. !? fine what Howie Haber calls “ accidental cancellation ” tuned George W.S. Hou (NTU) DPF@FNAL, 170802 11 G2HDM-TopTwo

The Alignment Enigma: cos( β‒α) ≈ 0 BSM H Outlook Howie Haber @ Toyama, 3/2017 based on Bechtle et al., EPJC’17 < 0.05 George W.S. Hou (NTU) DPF@FNAL, 170802 12 G2HDM-TopTwo

The Alignment Enigma: cos( β‒α) ≈ 0 BSM H Outlook Howie Haber @ Toyama, 3/2017 based on Bechtle et al., EPJC’17 shake off the MSSM mindset! < 0.05 WSH & Kikuchi, 1706.07694 George W.S. Hou (NTU) DPF@FNAL, 170802 13 G2HDM-TopTwo

IV. Bonus: Natural Alignment, w/ ρ tt Protection General 2HDM w/o Z 2 assume CP-Inv. EWSB minimization [see Haber & O’Neil, PRD’06 “ soft breaking ” term absorbed George W.S. Hou (NTU) DPF@FNAL, 170802 14 G2HDM-TopTwo

IV. Bonus: Natural Alignment, w/ ρ tt Protection General 2HDM w/o Z 2 assume CP-Inv. EWSB minimization [see Haber & O’Neil, PRD’06 “ soft breaking ” term absorbed cos( β‒α ) diag. George W.S. Hou (NTU) DPF@FNAL, 170802 15 G2HDM-TopTwo

IV. Bonus: Natural Alignment, w/ ρ tt Protection General 2HDM w/o Z 2 assume CP-Inv. EWSB minimization [see Haber & O’Neil, PRD’06 “ soft breaking ” term absorbed cos( β‒α ) diag. Near Alignment, c γ → 0 George W.S. Hou (NTU) DPF@FNAL, 170802 16 G2HDM-TopTwo

Natural Alignment in G2HDM: No need for Small η 6 ! Near Alignment, Condition: helps if , “ positivity ” (?) n.b. Not Required. For and positive, with somewhat smaller, the mixing between the CP-even states is small. George W.S. Hou (NTU) DPF@FNAL, 170802 17 G2HDM-TopTwo

Natural Alignment in G2HDM: No need for Small η 6 ! Near Alignment, Condition: helps if , “ positivity ” (?) n.b. Not Required. For and positive, with somewhat smaller, the mixing between the CP-even states is small. Single term (EWSB) Essence: 4 terms George W.S. Hou (NTU) DPF@FNAL, 170802 18 G2HDM-TopTwo

Custodial SU(2) Illustration Natural Mass Range c γ  ‒ 0.2 [ ‒ s γ  0.980] c γ  ‒ 0.1 [ ‒ s γ  0.995] 1/4 η 6 = O (1) Alignment is Nat al in General 2HDM w/o Z 2 atur ural in contrast with fine-tuning in 2HDM-II George W.S. Hou (NTU) DPF@FNAL, 170802 19 G2HDM-TopTwo

Custodial SU(2) Illustration Natural Mass Range c γ  ‒ 0.2 [ ‒ s γ  0.980] m h : level splitting c γ  ‒ 0.1 extreme [ ‒ s γ  0.995] 1/4 η 6 = O (1) Alignment is Nat al in General 2HDM w/o Z 2 atur ural in contrast with fine-tuning in 2HDM-II George W.S. Hou (NTU) DPF@FNAL, 170802 20 G2HDM-TopTwo

One-loop Protection still allowed ρ tt c γ Purely Bosonic Loops ( O (1) couplings) New ρ tt > 0 and O (1 ) preferred: “Protects” Alignment Yukawa Original Motivation to Study Alignment in G2HDM  based on WSH & Kikuchi, 1704.03788 , PRD’17 George W.S. Hou (NTU) DPF@FNAL, 170802 21 G2HDM-TopTwo

V. Pheno & Discussion cancellations when imaginary George W.S. Hou (NTU) DPF@FNAL, 170802 22 G2HDM-TopTwo

What does not vanish with Alignment, c β‒α → 0 O (1) ρ tt & Complex O (1) Higgs Couplings cancellations when imaginary George W.S. Hou (NTU) DPF@FNAL, 170802 23 G2HDM-TopTwo

Niche for Extra Higgses • b → s γ : New Bound m H + > 570 GeV (Misiak-Steinhauser JHEP’17) for 2HDM-II  Misiak bound does not apply in G2HDM: depend on ρ tt , ρ tc , ρ cc , ρ bb  Need targeted study ! [underway • Parameter space much larger than illustrated : - Positivity not necessary; - Custodial not necessary (e.g. also Twisted Custodial ); H could be lighter than A , H + - Link with EWBG nice, but not necessary  Spectrum Sub-TeV preferred - Larger μ 22 bridges to Decoupling • H-A mixin g : With Im ρ tt needed for BAU, test at collider [under study • H , A , H + Production & Decay: What is spectrum? Natural Mass Range ? - H , A : hidden by/in gg → tt(bar) ? - H + : hidden by/in tb(bar) ? [tt(bar) BG]  tt H / A & tb H + way to go? • H → tc search Altunkaynak et al., 1506.00651 George W.S. Hou (NTU) DPF@FNAL, 170802 24 G2HDM-TopTwo

V. Conclusion : H 0 , A 0 , H ± in Our Time General 2HDM (w/o Z 2 ) • EWBG Surprisingly Efficient w/ Higgs quartics η i O (1) New Yukawa ρ tt [and ρ tc N.B. O (1) Modulo flavor org. (of SM): much smaller Yuk. involving lower gen. • Much New FPCP Pheno • Alignment Emerges Naturally w/ O (1) Higgs quartics - mild tuning ( 1/4 ) Extreme Alignment  - mild Alignment ( c γ  ‒ 0.2 ) low m h by level repulsion  - sub-TeV H , A , H + preferred  rethink LHC Search • Discover @ LHC !? - NOT SUSY ! - Touch EWBG ! [need CPV probe - Another Energy Layer ! [guaranteed by Landau pole George W.S. Hou (NTU) DPF@FNAL, 170802 25 G2HDM-TopTwo