2HDM George W.S. Hou (NTU) Guwahati, 2/2014 1
Two Higgs Doublet Model:
Past and Future
February 21, 2014, EWSB-Flavours-LHC @ Guwahati
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 2
• 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
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 3
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 George W.S. Hou (NTU) Guwahati, 2/2014 4
2HDM
Will focus on Flavour Connection
p.s. parameters in Higgs sector always give me the shudders …
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 5
Thanks, Soni !
WSH, Soni, Steger, b → s PLB’87
WSH, Soni, Steger, b → sg* PRL’87
WSH, 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!
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 6
Thanks, Soni !
WSH, Soni, Steger, b → s PLB’87
WSH, Soni, Steger, b → sg* PRL’87
WSH, Soni, Bd & Bs Mixing PLB’87
WSH, Willey, Soni, b → sℓℓ PRL’87
4G
Introduced me to B Physics.
Timelike Lightlike Spacelike
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 7
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
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 8
Usual 2HDM Framework: NFC
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 9
H+ Couplings in Model I/II
“SUSY”
(mindset: ~ mt/mb)
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 10
• 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
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 11
• 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
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 12
Let’s Do H+: b → s(g)
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 13
logarithmic vs power GIM suppression in SMQCD corr. brings in large log
b → s(g)
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 14
ξ2 = cot2, ξξ′= ξ2 (Model I), (Model II)
fig. stolen from Hermann, Misiak, Stenihauser
why does ξ′ enter?
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 15
ξ2 = cot2, ξξ′= ξ2 (Model I), (Model II)
fig. stolen from Hermann, Misiak, Stenihauser
why does ξ′ enter?
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 16
ξ2 = cot2, ξξ′= ξ2 (Model I), (Model II)
fig. stolen from Hermann, Misiak, Stenihauser, JHEP’12
NNLO
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 17
Hermann, Misiak, Stenihauser, JHEP’12 [1208.2788]
Exp 1SM 1
WSH & WilleyNPB’89
State of the Art
Can be weakened by BSM
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 18
“Murky Mode” @ 10%: b → c & b → sg ➥ B → D(*);
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 19
The Polish Connection/Synergy
b → c part based on Krawczyk and Pokorski, PRL’88
SM ~ 3% ~ 0.2%
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 20
char
m c
ount
ing
~ SM~ SM
charm counting
Sol. 1: b → sg @ 10%
Great Pheno If True !
ca. 1991 Sol. 2: b → c @ 10%
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 21
PLB’92
Form Factorstr. long. scalarscalar
➥ polarization Flip Kalinowski, PLB’90
s-waveenhanced
7
5
3
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 22
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.
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 23
Crisp B → Surprise
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 24
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; Soni
Lüth
Hara
Stole from my own FPCP2012 Talk
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 26
FCNH: Model III & t → ch
Became relevant recently at the LHC
11/199111/1991
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 27
2HDM Framework: NFC 2HDM III: “Natural” FC Neutral Higgs FCNH
from B Phys.
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 28
FCNH: t → ch & Model III
Thy Shall Not Mix4G – 2HDM –
FCNH ! “ ”
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 29
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
Mass
FCNH: 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
c
h0
►►
Outline
t → ch @ LHC George W.S. Hou (NTU) EPSHEP@Stockholm 19/7/2013 31
Very (too) Large !
BaBar,PRL 2012
BaBar “Anomaly”
t → ch @ LHC George W.S. Hou (NTU) EPSHEP@Stockholm 19/7/2013 32
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
t → ch @ LHC George W.S. Hou (NTU) EPSHEP@Stockholm 19/7/2013 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
t → ch @ LHC George W.S. Hou (NTU) EPSHEP@Stockholm 19/7/2013 34
Summary of Constained 2HDM-III
cccctttt
ctct
New Sector to be probed
at the LHC
t → ch @ LHC George W.S. Hou (NTU) EPSHEP@Stockholm 19/7/2013 35
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*?
t → ch @ LHC George W.S. Hou (NTU) EPSHEP@Stockholm 19/7/2013 36
∙ + 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 George W.S. Hou (NTU) Guwahati, 2/2014 37
2HDM H+ Search at LHC
Eli Ben-Haim @ EPSHEP2013
a BaBar-centric View LHC Search has Started !
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 38
ATLAS JHEP’12CMS JHEP’12
t → bH+ Search at LHC
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 39
t → bH+ & H+ → tb at LHC ATLAS-CONF-2013-081
t t →→ bH bH++: : getting there getting there
ente
red
ente
red
HH++ →→
tb tb
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 40
finally getting there finally getting there
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 41
Conclusion: 2HDM I, II & III
b → sB →
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
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 42
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 43
Outline Is “the Higgs” the Agent of BEH Mech.?
12/2013
EWSB
Dilaton Dilaton : Goldstone boson of SSB of Scale Invariance
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 44
υ /F
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 45
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 …
2HDM George W.S. Hou (NTU) Guwahati, 2/2014 46
B → Satus
t → ch @ LHC George W.S. Hou (NTU) EPSHEP@Stockholm 19/7/2013 47
Nonperturb.
Nonperturb.
ctct needed
needed With Regrets, “detach” from BaBar anomaly
b → s : bb tiny Higgs → : small
Because of Because of chiralchiral m mtt/m/mbb
and and KMKM enhancement, enhancement, bbbb tiny tiny !!
~ SM
mH+ pockets remain
Data-constrained 2HDM-III
t → ch @ LHC George W.S. Hou (NTU) EPSHEP@Stockholm 19/7/2013 48
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 !?
t → ch @ LHC George W.S. Hou (NTU) EPSHEP@Stockholm 19/7/2013 49
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?
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