two higgs doublet model: past and future

2HDM George W.S. Hou (NTU) Guwahati, 2/2014 1

Two Higgs Doublet Model:Past and Future

February 21, 2014, EWSB-Flavours-LHC @ Guwahati

http://www.ntu.edu.tw/chinese/PageN.php

http://www.ntu.edu.tw/chinese/PageB.php



• Intro: Flav H ➾ EWSB Soni; H+; Enhanced “Murky”; Top-Higgs

• Let’s Do H+: b → s(g)

• “Murky Mode” @ 10%: b → c & b → sg ➥ B → D(*);

• FCNH: Model III & t → ch

• LHC • Conclusion

2HDM: Past & Future EWSB-Flavour-LHC➾

More on “Lost Opportunities”

(from my past dabbles)

and Good Pheno Link



mmF ~ Fυ

mmV ~ gυB.E.H., 1964

Weinberg, 1967

FlavourSector

VL “seen” since 1983

The “God” Particle: the Origin of Mass

Fermion: Repeated Doublets

(Agent of)EWSB

Higgs: Second Doublet



2HDM

Will focus on Flavour Connection

p.s. parameters in Higgs sector always give me the shudders …



Thanks, Soni !

WSH, Soni, Steger, b → s PLB’87WSH, Soni, Steger, b → sg* PRL’87WSH, Soni, Bd & Bs Mixing PLB’87

WSH, Willey, Soni, b → sℓℓ PRL’87

4G

Introduced me to B Physics.

But I missed “large QCD corrections” by focusing too much on New Physcs…Bertolini, Borzumati, Masiero, PRL’87Deshpande, Trampetic, Eilam, Singer, PRL’87 ➥ Operator Analysis: Culmination in M. Misiak!



Thanks, Soni !

WSH, Soni, Steger, b → s PLB’87WSH, Soni, Steger, b → sg* PRL’87WSH, Soni, Bd & Bs Mixing PLB’87

WSH, Willey, Soni, b → sℓℓ PRL’87

4G

Introduced me to B Physics.

Timelike Lightlike Spacelike



Before summer 1987, before moving from Pitt to Munich, saw this paper

... and said to Ray Willey, “We can easily do this, too.”

Turned out they focus on large tan … and missed a crucial sign.

H+ effect

b → s



Usual 2HDM Framework: NFC



H+ Couplings in Model I/II

“SUSY”

(mindset: ~ mt/mb)



• 1992: CDF bound of mt > 91 GeV

Could top be still lighter?

• Ca. 1990: Bs.l. (semileptonic BR) and NC (charm counting) problem.

Could there be Enhanced “Murky” Modes?

➥ Polish synergy:

B → D(*); B →

t → ch

Non-NFC: Model III



• Intro: Flav H ➾ EWSB Soni; H+; Enhanced “Murky”; Top-Higgs

• Let’s Do H+: b → s(g)

• “Murky Mode” @ 10%: b → c & b → sg ➥ B → D(*);

• FCNH: Model III & t → ch

• LHC • Conclusion

2HDM: Past & Future EWSB-Flavour-LHC➾

More on “Lost Opportunities”

(from my past dabbles)

and Good Pheno Link



Let’s Do H+: b → s(g)



logarithmic vs power GIM suppression in SMQCD corr. brings in large log

b → s(g)



ξ2 = cot2, ξξ′= ξ2 (Model I), (Model II)

fig. stolen from Hermann, Misiak, Stenihauser

why does ξ′ enter?




fig. stolen from Hermann, Misiak, Stenihauser

why does ξ′ enter?




fig. stolen from Hermann, Misiak, Stenihauser, JHEP’12

NNLO



Hermann, Misiak, Stenihauser, JHEP’12 [1208.2788]

Exp 1SM 1

WSH & WilleyNPB’89

State of the Art

Can be weakened by BSM



“Murky Mode” @ 10%: b → c & b → sg ➥ B → D(*);



The Polish Connection/Synergy b → c part based on Krawczyk and Pokorski,

PRL’88

SM ~ 3% ~ 0.2%



char

m co

untin

g

~ SM~ SM

charm counting

Sol. 1: b → sg @ 10%

Great Pheno If True !

ca. 1991 Sol. 2: b → c @ 10%



PLB’92

Form Factorstr. long. scalarscalar➥ polarization Flip Kalinowski, PLB’90

s-waveenhanced

7

5

3



ALEPH Exclusion of b → c @ 10%; and then …

b → + X = (4.08 ± 0.76 ± 0.62)% PLB’93(2.75 ± 0.30 ± 0.37)% PLB’95(2.43 ± 0.20 ± 0.25)% EPJC’01

➙ SM-like, rule out enhanced b → c = (1.05 ± 18)%= (1.64 ± 15)%

saturate inclusive (PDG’13) expected

a crisp result:no new hadronic effect

beyond fB within SM

cf.



Crisp B → Surprise



anybody out there?

cottage industry

When First Evidence in 2006, citations soared. A Driver for Super B Factory


Theory Summary George W.S. Hou (NTU) FPCP@USTC, Hefei 5/25/2012 25

Finally underway in my own group …

• Old Tensions: e.g. Or,

But, B → almost touched by BaBar/Belle.

Super B Factory (2015 for Belle 2) would unravel it “immediately”. Totally different systematics!

An Illustration towards 2015+

Which One ?

No serious sign of Godot in FPCP ...

Roderjohann; SoniLüth

Hara

Stole from my own FPCP2012 Talk



FCNH: Model III & t → ch

Became relevant recently at the LHC

11/199111/1991



2HDM Framework: NFC 2HDM III: “Natural” FC Neutral Higgs FCNH

from B Phys.



FCNH: t → ch & Model III

Thy Shall Not Mix4G – 2HDM –

FCNH ! “ ”



t → ch / t → bW* h → tc / h → bb & tt

S/P

S/P

1% benchmark

FCNH: t → ch & Model III


t → ch @ LHC George W.S. Hou (NTU) EPSHEP@Stockholm 19/7/2013 30

Pro-found if Found

• BaBar Anomaly, 2HDM-III & tch0 Coupling

• B Physics & H → Constraints • t → ch0 Search at LHC

Kao,Kao, Cheng,Cheng, WSH,WSH, Sayre,Sayre, PLB 2012PLB 2012Chen, WSH, Kao, Kohda, 1304.8037Chen, WSH, Kao, Kohda, 1304.8037

MassFCNH: verboten in SM & 2HDM I/II

Glashow-Weinberg 1977

Fajfer, Kamenik, Nisandzic, Zupan, PRL 2012Fajfer, Kamenik, Nisandzic, Zupan, PRL 2012Crivellin, Greub, Kokulu, PRD 2012Crivellin, Greub, Kokulu, PRD 2012; 1303.5877; 1303.5877 CGKCGK

KCHSKCHSCHKKCHKK

C.Kao talk

ZZ*ggWW*

bb

t

ch0

►►

Outline



Very (too) Large !

BaBar,PRL 2012

BaBar “Anomaly”



2HDM-III (General) Yukawa Interactions[we use notation of Mahmoudi and Stal, PRD 2010[we use notation of Mahmoudi and Stal, PRD 2010

ExoticExotic

““StandardStandard””

CGK considered Decoupling Limit: SMH

To consider t → ch0 : FCNHFCNH • Need Nondecoupling: h mixes in cos () frac. of H

• Not only bb, but turn out small (next page) deviate from CGK [left with mH+ pockets

• ct ~ 1, implying tt and cc need be considered!

Crivellin, Greub, Kokulu, PRD 2012Crivellin, Greub, Kokulu, PRD 2012

22 33



How large can B (tt → → chch00) be?If ctct ~ 1~ 1, what constraint we have on coscos (()) ?

N.B. From tt(bar) measurement with dileptons, one

infers B (tt → → chch) cannot be larger than few %.

With Regrets, “detach” from BaBar anomaly

mH+ pockets remain

B & H → Constraints

tt →→ chch00 Search at LHC



Summary of Constained 2HDM-III

ccccttttctct

New Sector to be probed

at the LHC



No Evidence of Excess Jets in ZZ* …

Any tt(bar) → ch bW ?

KCHS’12KCHS’12: Can probe down to 1%: Can probe down to 1%

Craig et al., PRD 2012: < 2.7% (can improve)Craig et al., PRD 2012: < 2.7% (can improve)

Simple CLs estimategives (95% C.L.)

B (tt → → chch) < 1.5%

Best done directlyby the Experiments

ATLAS 4ℓ + 4j evt (backup)

Illustration

??

2.2%

Is there bias even in ZZ*?



∙ + 4j, + jj + l : [ in Higgs window] Because of background concerns, evts perhaps rejected by (VBF) Even the study of such BG may be interesting; b/t tags if found.

∙ WW* + jets, WW* + jets + W : [no Higgs Mass]

Comments

ATLAS announced at Higgs Hunting, Orsay, week after EPS: t → cH < 0.83% at 95 C.L. ATLAS-CONF-2013-081

CMS announced at SUSY2013: t → chmult-ℓ < 1.28% at 95 C.L. CMS PAS-SUS-13-002

Can be

Improved

Astounding: % level bound year after Higgs Astounding: % level bound year after Higgs discovery !discovery !



2HDM H+ Search at LHC

Eli Ben-Haim @ EPSHEP2013

a BaBar-centric View LHC Search has Started !



ATLAS JHEP’12CMS JHEP’12

t → bH+ Search at LHC



t → bH+ & H+ → tb at LHC ATLAS-CONF-2013-081

t t →→ bH bH++: : getting there getting there

enter

ed

enter

ed

HH++ →→ tb tb



finally getting there finally getting there



Conclusion: 2HDM I, II & III

b → s B →

Haisch 0805.2141 BaBar throws inB → D(*)monkey wrench ➥ Rule out 2HDM II ?

finally getting therefinally getting there

FCNH t → ch Search Underway

need Belle-II (2015+)need Belle-II (2015+)

2015+ Looks Bright



Outline Is “the Higgs” the Agent of BEH Mech.?

12/2013

EWSB

Dilaton Dilaton : Goldstone boson of SSB of Scale Invariance



υ /F



Leading Processes

cg

How does Dilaton Dilaton fake Higgs ?

H → ZZ* → ee

H →

DilatoDilatonn

DilatoDilatonn

cg

υ /F

cc

but, no convincing evidence for VBF (Vector Boson Fusion) or VH (Higgsstrahlung off V) so far ➙ ➙ Check Dilaton Dilaton 2015+ !

cgυ /F ~ SM Higgs

cg c ~ SM Higgsfortuitous, maybe …



B → Satus



Nonperturb.

Nonperturb.

ctct needed needed With Regrets,

“detach” from BaBar anomaly

b → s : bb tiny Higgs → : smallBecause of Because of chiralchiral m mtt/m/mbb and and KMKM enhancement, enhancement, bbbb tiny tiny !!

~ SM

mH+ pockets remain

Data-constrained 2HDM-III



Example: Clean Sample of ZZ* → 4ℓ

With 126 GeV dominantly SMH, i.e. sin(() ) ≃ 1 (near Decoupling), ZZ* (and WW*) Rate hard to change.

The width of 126 GeV Higgs can be enhanced by cccc as not measured.

Gluon Fusion can be enhanced by tttt , even though damped by coscos (())..

Consistency of 15-20 evts~ SM w/ little BG,

for both CMS/ATLAS

Cf.: tt(bar) ~ 220 pb, if t → cht → ch 2%, then tt(bar) → chbW is at 9 pb !

~ 22 pb

Could we haveseen it already !?



One ATLAS ee + 4j Event !!

ATLAS-CONF-2013-013, (extra) Fig. 38 [thanks to Bill Murray

“Passed VBF Selection”Is there bias even in ZZ*?

is there a b?


two higgs doublet model: past and future

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