the fourth generation

4G Dervish George W.S. Hou (NTU) 3-B3GSM@BOUN, 10/23/2011 1

the Fourth Generation

Thoughts and Directions

October 23, 2011, 3-B3GSM @ BOUN

on

diaz site !!! at http://flickr.com/photos/7339233@N05/ 1843725867


I. Intro: Capri’08; 1st BSM3 & 4 Statements; 2nd BSM3; Summer’11

II. From Hints to Measurements: Indirect/Direct Bs → J/ / Bs → / B → K*║ mt ; BR(t → b W*)

III. Enhancing Small Numbers nEDM4; BAU4

IV. Breaking the Unitarity “Bound” Yukawa-bound Ultra Heavy “Mesons” — Relativ. Bound State Issues; Lattice; [“Bootstrap” Gap Equation

V. Conclusion

Outline

CPV George W.S. Hou (NTU) NCU, Oct 6, 2009 3

I. Intro

arXiv:0805.4393 [hep-ph]


~ 133 citations ~ 133 citations today


http://indico.cern.ch/conferenceDisplay.py?confId=68036

Summarized this morning.

Fourth Generation George W.S. Hou (NTU) TOP2010, Bruges, 100603 6

sin2Bs ~ 0.5 - 0.7

WSH, Nagashima, Soddu, PRD’07 (already in 05)

sin2Bs ~ 0.33

WSH, Ma, arXiv:1004.2186 [hep-ph]

4th generation “prediction” still robust, but needs LHCb to verify.

Also, Soni et al., arXiv:1002.0595 [hep-ph] Buras et al. arXiv:1002.2126 [hep-ph] Lenz et al., arXiv:1005.3505 [hep-ph]

curios 1.2 too

sin2Bs ≡ sin s

≡ sin2 s

Sum 2-B3GSM George W.S. Hou (NTU) 3-B3GSM@BOUN, 10/23/2011 7

Gerhard RavenB Physics Results from the LHC

Practically All Flavor/CPV Hints are “Gone” !!

Practically All Flavor/CPV Hints are “Gone” !!

LP11


II. From Hints to Measurements: Indirect/Direct

Measuring CKM4 Solely @ LHC

t, t ’

t, t ’

btst VV

btst VV

,t ’

sbisb er

btst VV

btV


Andrei Golutvin @

s[sins ~ 0.74]

Andrei: Do you like the 1 fb number I gave, George?

George: Well, perhaps 0.3 0.1 better


7.0 2.4 x 109

reachable w/ 1 fb ?

CERN RRB April 2011

Add ATLAS/CMS !



LP11

Getting Interesting: 4G could enhance

Getting Interesting: 4G could enhance BBss → → by ~ 2 ! by ~ 2 !



LP11

I was devasted by this, and mildly depressed in September …

I was devasted by this, and mildly depressed in September …



t, t ’

t, t ’

,t ’

btst VV

btst VV

btst VV

Bs

==

SM3

Trick: Take Ratio of

Bs → and ms

Remove dependence,

only left.

SM3



t, t ’

t, t ’

,t ’

btst VV

btst VV

btst VV

Bs

Could by smaller than SM3

Anticipating 2012

“2” SM3-like


sbier

sbbtst VV

Measurement

Anticipating 2012

“2” SM3-like

Smaller than SM3

Intersect at ~ SM3 value


sbier

sbbtst VV

Measurement

A Third Measureable: AFB

~ SM3 !Contours of

x

Sample points: blue; purple;

red; green.

x

Allowed

008.0 |VV| btst for mt’ = 550 GeV


sbier

sbbtst VV

Measurement

Sample points: blue; purple;

red; green.

Allowed

for mt’ = 550 GeV008.0 |VV| btst

The refined measurements of

˙ sin2Bs

˙ B (Bs → ) ˙ A FB (B0 → K *0)

together with mt’, will pinpoint

the value of

btst VV

Take red point to illustrate the

MeaningMeaning.


btst VV

tbtsVV

cbcsVV

cbcdVV-

ubudVV

ubusVV

OS

b b →→ s s

b →→ d

SM |VV tbts

70 0.0065 ieer sbiVV

sbbtst

t, t ’

t, t ’

btst VV

btst VV

,t ’

Belle/BaBar Measurement KM Nobel

Measurement of

Determine (knowing t ’ mass) ~ Triangle Relevant for BAU?


but TCPV hint is now diminished …

t, b

phase space suppressed

vs

CKM suppressed

BR(b → t W*)determines bt V

so then

bt

V

Y. Chao et al., PRD 11

virtual

Threshold enhanceddetermination of CKM4


III. Enhancing Small Numbers

nEDM4 and BAU4


21

New neutron EDM expts underway …

» for BAU «

nEDM4

Borderline even if hadronic enhanced by 103


Pospelov & Ritz, PRD’01

Hamzaoui & Pospelov, PLB’95

Hamzaoui & Pospelov, PRD’96

Hou & Ma, PRD’10

nEDM4 ~ 1031 e cm

effective 3-loop estimate, picking out large momenta in loop

w/ Fanrong Xu & Junji Hisanp, to appear PRD 11

nEDM is a slow (safe) track for 4G

nEDM4 estimate


BAU4 estimate

• Farrar & Shaposhnikov claimed, in 1993, that SM3 could generate BAU by CP violating scattering of quasi-particles (thermal excitations of q & anti-q) with bubbles of the Higgs condensate

• This was shot down by Gavela, Hernández, Orloff and Pène in 1994, who pointed out FS neglected the damping length in the plasma (mainly QCD)

• Huet & Sather gave in PRD’95 a lucid account, finding conservatively

• We find, following the steps of HS,

bu

bb

le w

all

Problem: Large Yukawa coupling. w/ Masaya Kohda & Yoshio Kikukawa (prelim.)

seem sufficient !

Too small !


IV. Breaking the Unitarity “Bound”

Yukawa-bound Ultra-heavy Mesons; pheno?Lattice future


LP11

b' Search @ LHCb' Search @ LHC

same sign dileptons

Pa

rtia

l W

av

e

Pa

rtia

l W

av

e U

nit

ari

ty B

ou

nd

Un

ita

rity

Bo

un

d

b'b' ( (→→ W Wt)t) b'b'

_

Will cross UB w/ 2011-2012 data Non

per

turb

a

Non

per

turb

ative

tive

PLB 11


Bethe-Salpeter approach to new Heavy IsospinHeavy Isospin

Jain et al., PRD 92; 94 semi-degenerate

cov.

± ± +

+

Isosinglet 1 lightest

↬↬ CollapseCollapse for large mlarge mQQ su

btra

ct s

-cha

nnel

becomes most attractive!

but s-channel is repulsive !Ishiwata & Wise, PRD 11 relativistic correction study

breaks down ?


Ishiwata and Wise, PRD 11

Fourth generation bound statesrelativistic expansion study

breaks down ?My interpretation:• QCD-bound for GeV scale binding energy• Sudden turn-on of Large Yukawa Coupling ⇒ Sudden drop in radius jump in binding energy• Rel. Expan. fails just when it turns interesting.

accidental degeneracy

less bound


Bethe-Salpeter approach to new Heavy IsospinHeavy Isospin

Jain et al., PRD 92; 94 semi-degenerate

cov.

± ± +

+

Isosinglet 1 lightest

↬↬ CollapseCollapse for large mlarge mQQ su

btra

ct s

-cha

nnel

becomes most attractive!

but s-channel is repulsive !Ishiwata & Wise, PRD 11 relativistic correction study

breaks down ?


: “usual”

:

Goes down fast w/ mQ

• Tight, Relativistic Bound State (large q!)

• “Negative Energy Potential” Matters!

• What does collapse mean? What about s-channel subtr.?Enkhbat, WSH, Yokoya, to appear PRD deep boundstate production/decay …

vani

sh fo

r ze

ro r

el. m

otio

n

Yukawa / 5


no gg production

mQ = 500 – 700 GeV; binding to 0 GeV

1 to 1.4 TeV


Decay

narrow


Results

dijet


from the Abstract

Enkhbat, WSH, Yokoya, to appear PRD


Lattice: only known nonpert. approach

Last name: LinFirst name: C.-J. DavidAffiliation: National Chiao-Tung UniversityEmail address: [email protected]: Study of the Higgs-Yukawa Theory at the Strong-Yukawa RegimeAuthors: John Bulava, Philipp Gerhold, George W.-S. Hou, Karl Jansen, C.-J. David Lin, Kei-Ichi Nagai, Attila Nagy, Kenji Ogawa, Brian SmigielskiType: ParallelSession: Applications beyond QCDAbstract: We present an on-going project on the Higgs-Yukawa theory in theregime of large bare Yukawa coupling. We use the overlap fermion andthe pHMC algorithm in this work. Our preliminary study shows that there exists a symmetric phase (vanishing scalar vacuum expectation value) in this regime. We also comment on the investigation of the spectrum.

talk at Lattice 2011

Remote Talk tomorrow


V. Conclusion

• Measure CKM relevant (?) for BAU at LHC [measure also

• nEDM4 safe; BAU4 “possible”

• Unitarity BoundUnitarity Bound approached with 2011-2012 LHC Data

• Need Lattice Study/Understanding to Go Beyond

BR(t → b W*)

Ultra Relativistic, Strong/Nonpert. BoundStates !?

Transition ~ Moriond / Summer Conf. 2013

We await the light SM Higgs verdict

the fourth generation

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