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

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

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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

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 1

Two Top Utilities of 2HDMs: Electroweak Baryogenesis and Alignment

August 2 @ DPF2017, Fermilab

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 2

EWBG & Alignment in General 2HDM

Outline

I. Intro: General 2HDM for BAU

  • II. General 2HDM (w/o Z2):

FCNH Yukawa ρij

  • III. EWBG from ρtt
  • IV. Bonus: Natural Alignment, w/ ρtt Protection
  • V. Pheno & Discussion
  • VI. Conclusion: H0, A0, H± in Our Time

Fuyoto, WSH, Senaha, 1705.05034 WSH & Kikuchi, 1706.07694

― Back on Earth ―

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 3

  • I. Intro: General 2HDM for BAU

Whither 1st Order Phase Trans. / Sufficient CPV?

Two Higgs Doublet Model

Comment: Known CPV in CKM  Yukawa’s. Extra Yukawa’s?

Killed by Z2 (Glashow-Weinberg 1977) for Flavor Conservation.

2HDM: O(1) Higgs Couplings OK / Extra Yukawa’s w/o Z2

ad hoc

ρtt the driver; ρtc the backup

General

N.B. SM-like flavor org., plus Data-driven ρij: B → D(*)τν Anomaly; t → ch; h → μτ ... Natural: O(1)

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(Φ1, Φ2) problematic w/ dn

Wise to keep V(Φ1, Φ2) CP Conserving

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 4

ρij

  • II. General 2HDM (w/o Z2): FCNH ρij

General Yukawa interaction for up-type quarks

υ1 = υ cβ υ2 = υ sβ

Neutral up-type Yukawa interaction diagnonal FCNH (flavor changing neural H)

alignment limit !

→ diag. (SM-H) → FCNH ρi j ρi j ρi j

N.B. tanβ unphysical

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 5

  • III. EWBG from ρtt

strongly 1st order EW phase transition (EWPT) Expanding Bubble of Broken Phase To avoid nB washout:

nB changing rate (br) Hubble const.

~ O(1)

vev @ TC

Extra Higgs Thermal Loops w/ O(1) Higgs Couplings

2HDM OK nB/s

Planck 2014

nB changing rate (sym) quark diffusion const entropy density bubble wall velocity l.h. fermion density (l.h. top density)

  • coord. oppo. bubble exp. dir.

bubble wall

  • fig. stolen from Jim Cline

Baryon Asymm. of Universe (BAU)

(keep υ1, υ2)

s

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 6 left-handed Top density bubble wall

CPV source term

position in heat bath (Very Early Univ.) # of color function of complex energies for iL, jR physical variation ( )

  • coord. oppo. bubble exp. dir.

Baryon Asymm. of Universe (BAU)

nB/s

BAU  CPV Top Interactions at Bubble Wall

skip detail

(Transport)

CPV Top Interactions

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 7

To understand the plot to follow, suppose then diag. by just but not diag.

(Y1)tc ≠ 0, (Y2)tc ≠ 0, (Y1)tt  (Y2)tt ≠ 0 (3 params.)

all else vanish, and take tβ = 1 for convenience

still basically free param.

CPV Top Interactions

“Jarlskog”: both doublets participate CPV source term

CPV Source

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 8

ρtc, ρtt satisfy

Bd, s mixing, b → sγ

Robust: Large Parameter Space for EWBG

no obvious diff.  ρtt driven !

small ρtt υC/TC > O(1) scan over for illustration (tβ = 1)

the charm of EWBG

Altunkaynak et al., 1506.00651

sub-TeV Remarkably Sufficient for BAU

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 9

Back on Earth

SUSY & BSM Nathaniel Craig @ EPS

Me: In SUSY there is 2nd Higgs Doublet, where do you place them ? Craig: ... they are at e.g. 3 TeV ... Me: OK, you take decoupling limit. H0, A0, H±

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 10

Back on Earth

SUSY & BSM Nathaniel Craig @ EPS

Me: In SUSY there is 2nd Higgs Doublet, where do you place them ? Craig: ... they are at e.g. 3 TeV ... Me: OK, you take decoupling limit.

N.B. (3000/125)2 ≈ 600 !!

H0, A0, H±

TeV [backdrop: Alignment by Decoupling]

fine tuned

2HDM-II

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 11

The Alignment Enigma: cos(β‒α) ≈ 0

... a new solution also appears quartic forbidden by Z2  generated by soft breaking, hence “small”

r.h.s. large √ l.h.s. large √

2014

My Question: Why should l.h.s. = r.h.s. !?

what Howie Haber calls “accidental cancellation”

2HDM-II

fine tuned

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 12

The Alignment Enigma: cos(β‒α) ≈ 0

BSM H Outlook Howie Haber @ Toyama, 3/2017

based on Bechtle et al., EPJC’17

< 0.05

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 13

The Alignment Enigma: cos(β‒α) ≈ 0

BSM H Outlook Howie Haber @ Toyama, 3/2017

based on Bechtle et al., EPJC’17 WSH & Kikuchi, 1706.07694

shake off the MSSM mindset!

< 0.05

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 14

  • IV. Bonus: Natural Alignment, w/ ρtt Protection

General 2HDM w/o Z2

assume CP-Inv.

minimization

EWSB “soft breaking” term absorbed

[see Haber & O’Neil, PRD’06

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 15

General 2HDM w/o Z2

assume CP-Inv.

minimization

EWSB “soft breaking” term absorbed

[see Haber & O’Neil, PRD’06

  • IV. Bonus: Natural Alignment, w/ ρtt Protection

diag.

cos(β‒α)

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 16

General 2HDM w/o Z2

assume CP-Inv.

minimization

EWSB “soft breaking” term absorbed diag.

cos(β‒α) Near Alignment,

cγ → 0

[see Haber & O’Neil, PRD’06

  • IV. Bonus: Natural Alignment, w/ ρtt Protection
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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 17

Natural Alignment in G2HDM: No need for Small η6!

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.

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 18

Natural Alignment in G2HDM: No need for Small η6!

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. Essence:

Single term (EWSB) 4 terms

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 19

Custodial SU(2) Illustration

cγ  ‒0.1

[‒sγ  0.995]

cγ  ‒0.2

[‒sγ  0.980]

η6 = O(1)

1/4

Alignment is Nat

atur ural al in General 2HDM w/o Z2

in contrast with fine-tuning in 2HDM-II

Natural Mass Range

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 20

Custodial SU(2) Illustration

cγ  ‒0.1

[‒sγ  0.995]

cγ  ‒0.2

[‒sγ  0.980]

η6 = O(1)

1/4

Alignment is Nat

atur ural al in General 2HDM w/o Z2

in contrast with fine-tuning in 2HDM-II

Natural Mass Range

extreme

mh: level splitting

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 21

One-loop Protection

Purely Bosonic Loops (O(1) couplings)

ρtt > 0 and O(1) preferred: “Protects” Alignment

 Original Motivation to Study Alignment in G2HDM

based on WSH & Kikuchi, 1704.03788, PRD’17

still allowed

New Yukawa

ρttcγ

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 22

  • V. Pheno & Discussion

cancellations when imaginary

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 23

What does not vanish with Alignment, cβ‒α → 0

O(1) ρtt & Complex O(1) Higgs Couplings

cancellations when imaginary

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 24

  • b → sγ: New Bound mH+ > 570 GeV (Misiak-Steinhauser JHEP’17) for 2HDM-II

 Misiak bound does not apply in G2HDM: depend on ρtt, ρtc, ρcc, ρbb  Need targeted study ! [underway

  • H → tc search
  • H-A mixing: With Imρtt needed for BAU, test at collider

[under study

Niche for Extra Higgses

  • H, A, H+ Production & Decay: What is spectrum?
  • H, A: hidden by/in gg → tt(bar) ?
  • H+:

hidden by/in tb(bar) ? [tt(bar) BG]  ttH/A & tbH+ way to go?

Natural Mass Range ?

  • 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
  • Larger μ22 bridges to Decoupling

 Spectrum Sub-TeV preferred

Altunkaynak et al., 1506.00651

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 25

  • V. Conclusion : H0, A0, H± in Our Time
  • Alignment Emerges Naturally w/ O(1) Higgs quartics
  • mild tuning (1/4)

 Extreme Alignment

  • mild Alignment (cγ ‒0.2)

 low mh by level repulsion

  • sub-TeV H, A, H+ preferred 

rethink LHC Search

General 2HDM (w/o Z2)

  • EWBG Surprisingly Efficient w/

N.B. O(1) Modulo flavor org. (of SM): much smaller Yuk. involving lower gen.

Higgs quartics ηi New Yukawa ρtt [and ρtc

O(1)

  • Much New FPCP Pheno
  • Discover @ LHC!?
  • NOT SUSY!
  • Touch EWBG!

[need CPV probe

  • Another Energy Layer!

[guaranteed by Landau pole

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 26

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 27

EWBG in a nutshell

< TeV

courtesy Eibun Senaha

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 28

1st-order EWPT

courtesy Eibun Senaha

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G2HDM-TopTwo George W.S. Hou (NTU) DPF@FNAL, 170802 29

1st-order EWPT

courtesy Eibun Senaha