prospects for new physics in

1

Prospects for New Physicsin

November 19, 2004

b ⇄ s Phenomena and the Squark

ICHEP 2004, Beijing 22

b sqq Penguin CPVb sqq Penguin CPVBelle @LP03 (140 fb-1)

“sin21”= 0.96 0.51

B0 Ks

sin21=0.728 0.06

B0 J/Ks etc

3.5 deviation from the SM !

--

[PRL 91, 261602 (2003)]

Different !!

ICHEP 2004, Beijing 33

B0 K0 : CPV ResultB0 K0 : CPV Result

K0

KS + KL

: S (K0) = +0.06 0.33 0.09

A (K0) = +0.08 0.22 0.09 ~2.2 away from SM

KS + KL

: S (K0) = +0.06 0.33 0.09

A (K0) = +0.08 0.22 0.09 ~2.2 away from SM

Good tags

Poor tags

S = 0.736fit Good tags

274M BB

11/19/2004, Mini-Flavor George W.S. Hou (NTU) 4

Chua, WSH, Nagashima, PRL’04 submitted 9/03

N.B. SKs < 0 Is/Was Extreme

VP, PP Anticorrelation


Two Nicer, Gentler ScenariosPost 2004

ICHEP04-August 20, 2004 Marcello A. Giorgi 6

Results on sin2 from s-penguin modes

2.7 from s-penguin to sin2(cc)


All new!All new!

~ 0.3 – 0.4~ 0.3 – 0.4

Scenario 1

ICHEP04-August 20, 2004 Marcello A. Giorgi 7

Results on sin2 from s-penguin modes



All new!All new!

~ 0.45 ~ 0.45 ~ 0.7 – 0.8 eventually (?)~ 0.7 – 0.8 eventually (?)

Scenario 2


Focus onFocus on200 GeV200 GeV

110

110

001~

~

22

mM

RRq

Level Splitting by Large sR-bR Mixing Drive One State Light

1 CP Phase

strange-beauty squarkstrange-beauty squark

(Approx. Abelian Flavor Symm.)


NP CPV phase ~ 90 90°° oror 270 270°°

~ 200 GeV

~ 500 GeVColliderDirect Search

Two ScenariosTwo Scenariosbut need to disentangle hadronic effect

Two Particle System

Clean Modes@ Flavor Factory

Model Upshot

7

“Milder” 2004 results more interesting !


Survive b s Rate Constraint

≲ ≲ /2, /2, oror ≳≳ 33/2/2

gm~[ [ 7700 - 800 GeV More Conservative ]00 - 800 GeV More Conservative ]

gmm ~ ,~ 1, 0.5 TeV2, 0.5

1, 0.8 TeV2, 0.8

: LR Chiral Enhancement

1, 0.65 TeV2, 0.65


B Ks Rate ?

: LR Chiral Enhancement

Amp ~ f (a + b )12c f, a, b: hadronic param.

f a gives SM part


Amplitudes

V ∓ A

Reason why Opposite Trend in SSKKss vs vs SS’K’Ks s , SSKKss

hadronichadronicuncertaintyuncertainty

Right-handed interactions


• Scenario 1: Scenario 1: ~~ /2/2 SSKKss ~ 0.45 accommodating gluino massgluino mass ~ 650 – 900 GeV

[Prefer to keep gluino mass above 500 GeV (L.E. Constraints)

• Scenario 2: Scenario 2: SS’K’Ks s ~ 0.3 - 0.4 gluino massgluino mass ~ 650 – 800 GeV

The Two Scenarios


Clean Measure: mmBBss ,, sin2 sin2BBss Interesting!Interesting!

gmm ~ ,~ 1, 0.5 TeV1, 0.5 TeV2, 0.52, 0.5

1, 0.8 1, 0.8 2, 0.82, 0.8

1, 0.5 1, 0.5 2, 0.52, 0.5

• Scenario 1Scenario 1: : ~~ /2/2 SSKKss ~ 0.45 gluino massgluino mass ~ 650 – 900 GeV

- mmBBs s ~ 25 - 90~ 25 - 90 psps-1-1

- sin2sin2BBs s ~~ +1+1• Scenario 2Scenario 2: : SS’K’Ks s ~ 0.3 - 0.4 gluino massgluino mass ~ 650 – 800 GeV - mmBBs s ~ 50 - 100~ 50 - 100 psps-1-1

- sin2sin2BBs s ~~ ―1―1N.B. sin2sin2BBss

not discriminating


b b ss L L in SM• Strength of Mixing-dep. CPV

Test RR component ((AAtwood, twood, GGronau, ronau, SSoni, 1997oni, 1997))

• SSKK**00((KKss))nownow PromisinPromisingg

• Scenario 1Scenario 1: : ~~ /2/2 SSKKss~ 0 ~ 0 ((―0.1 - +0.2―0.1 - +0.2)) Not Easy.Not Easy.

• Scenario 2Scenario 2: : SSKKss~ ~ ―0.4 - ― 0.7―0.4 - ― 0.7 Much Easier !Much Easier !

3rd Measure: Wrong Helicity Photon inWrong Helicity Photon in b b ss RR

)2sin()|||(|

||211112

112

11

11110

dBM cc

ccS

Free of hadronic uncertaintyFree of hadronic uncertainty

SSKKssbetter than sin2sin2BBss


NP CPV phase ~ 90 90°° oror 270 270°°

~ 200 - 500 GeV

~ 650 - 900 GeVColliderDirect Search

Two ScenariosTwo Scenariosbut need to disentangle hadronic effect

Two Particle System 3 Parameters

Clean Modes@ Flavor Factory

Model [assume maximal mixing]

TeV Scale SUSY


Standard b squark limit diluted by

dual s-b flavor of

Collider Direct Search


Detection

• Basically, just a light “b”-squark in Production so, Discovery not a problem.

• Question is Decay: bino LSP or gravitino

• Can be Stable? (LSP)

In principle Heavy MIPs

Anyway, need Good b-tagging ! [s-tagging?]

sin2 is b fraction


standard sbeauty

reference 1

• Discovery (> 10 evts) up to 300 GeV w/ 2 fb−1 & sin2m>0.5

• Single vs double b-tag contain info on sinm

• b-tag cross section: check consistency vs mass


Comment onComment onK* Polarization Polarization

PuzzlePuzzle

refer to Hsiang-nan’s talk


Heuristic/Drastic ModelOn-shell b s g: g is Transverse

b s ~ 3 x 10−4 b s g ~ few x 10−3

B K* ~ 4 x 10−5 B KT* T~ 5 x 10−6

10% 0.1% ?

ComplicatedColor Structure

min.is “gg”

b

x

x

Simple StringFragmentation Resonances


Ansatz

ad hoc term

Really, | 〉 component of |K*〉

GGqs

Soft


• Strong disagreement in +K*0 rate• If BaBar value, then +K*0 can be fed from K*+ via Rescattering


Conclusion SSKKss , SSKKss, SS’K’Ks s Data May StillMay Still Call for - Large s-bs-b Mixing, w/ New CPV Phase & R.-h.R.-h. Interaction

A Light Flavor-mixedFlavor-mixed Squark? Independtly Well Motivated (Flavor & SUSY) • Survive b s (!) • Can Account for SSKKs s ≲ ≲ S SKKss, xor SSKKss,, SS’K’Ks s ≲ ≲ S SKKss

• mmBBss , sin2sin2BBss now Quite Measurable and Interesting

• SSKKss Promising, Clean; better CPV measure than Promising, Clean; better CPV measure than sin2sin2BBss

K* Polarization Puzzle Polarization Puzzle may call for Drastic Remed

y Search at Tevatron (maybe at LHC) Profitable

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