IV. Low Energy Probes of SUSY

• J Erler (UNAM)

• A Kurylov (Caltech)

• C Lee (Caltech)

• S Su (Arizona)

• P Vogel (Caltech)

• G Prezeau (Caltech)

• V Cirigliano (Caltech)

• How is SUSY broken?

• How viable is SUSY dark matter ?

• Is there enough SUSY CP violation to account for the matter-antimatter asymmetry?

MSUSY MSM

High precision, low energy measurements can probe new physics in the “desert”

Complementary to Z0 pole

Precision ~ Mass Scale

SUSY OSUSY

OSM

M˜ M

2 M=m~ 2 x 10-9

exp ~ 1 x 10-9

M=MW ~ 10-3

• LEP & SLD programs are complete

• Sensitivity to off Z0 - resonance physics

• Precision is improving

Weak decays

d u e es u e eb u e e

u c t Vud Vus Vub

Vcd Vcs Vcb

Vtd Vts Vtb

d

s

b

Vud

2 Vus

2 Vub

2= 1

0.9968 0.0014

SM

Expt

0.9487 0.0010

0.0482 0.0008

0.000010.000007

Weak decays

u c t Vud Vus Vub

Vcd Vcs Vcb

Vtd Vts Vtb

d

s

b

n p e eA(Z,N) A(Z 1,N 1) e e

0 e e

-decay

d u e es u e eb u e e

GF

GF Vud 1 r r

New physics

˜ 0

˜

˜

e

W

e

e

e

˜ 0

˜

˜

˜ e

SUSY

OSUSY

OSM~ 0.001

Weak decays

n p e eA(Z,N) A(Z 1,N 1) e e

0 e e

-decay

GF

GF Vud 1 r r

SM theory input

W

e p

e n

MW GF

2

ˆ 2

lnMZ

2

2

CW ()

Weak decays

n p e eA(Z,N) A(Z 1,N 1) e e

0 e e

-decay

GF

GF Vud 1 r r

Ft ft 1 R NS 1 C K 2(GF

)2

0+ ! 0+ “Superallowed”

Nuclear structure-dependent corrections

Weak decays

n p e eA(Z,N) A(Z 1,N 1) e e

0 e e

-decay

GF

GF Vud 1 r r

Ft ft 1 R NS 1 C K 2(GF

)2

0+ ! 0+ “Superallowed”

Nuclear structure-dependent corrections

New tests

Weak decays

n p e eA(Z,N) A(Z 1,N 1) e e

0 e e

-decay

GF

GF Vud 1 r r

Liquid N2

Be reflector

Solid D2

77 K poly

Tungsten Target

58Ni coated stainless guide

UCN Detector

Flapper valve

LHe

dW 1 ap e

p

E e E

An

p eEe

Ultra cold neutrons

LANSCE: “UCN A”

Future SNS: Pulsed Cold Neutrons: “abBA”

Weak decays

n p e eA(Z,N) A(Z 1,N 1) e e

0 e e

-decay

GF

GF Vud 1 r r

Decay correlationsFuture SNS: Pulsed Cold Neutrons: “abBA” G. Greene

Weak decays

n p e eA(Z,N) A(Z 1,N 1) e e

0 e e

-decay

GF

GF Vud 1 r r

LANSCE

SNS

NIST

Weak decays

GF

GF Vud 1 r r

Vud

gv/gA

n p e eA(Z,N) A(Z 1,N 1) e e

0 e e

-decay

n ~ gv2+3gA

2

ILL, Grenoble

Weak decays

n p e eA(Z,N) A(Z 1,N 1) e e

0 e e

-decay

GF

GF Vud 1 r r

0e e ~ 110 8

PSI: “Pi-Beta”

Weak decays

u c t Vud Vus Vub

Vcd Vcs Vcb

Vtd Vts Vtb

d

s

b

K 0 e e

kaon decay

GFK

GF Vus 1 rK r

SUSY Loops: Too small

d u e es u e eb u e e

Value of Vus important

Weak decays

u c t Vud Vus Vub

Vcd Vcs Vcb

Vtd Vts Vtb

d

s

b

d u e es u e eb u e e

K 0 e e

kaon decay

SM Theory

Weak decays

K 0 e e

kaon decay

Vus fK 0

(0)

GFK

GF Vus 1 rK r

Vus

V. Cirigliano

SUSY Radiative Corrections

e

e

W

W

˜ e

˜ e

˜ 0

˜

˜

e

W

e

e

˜

W

˜

˜ 0

e

Propagator

Box

Vertex & External leg

e

e

˜ 0

˜

˜

˜ e

r

e

e

W

W

˜

˜ 0

Other Inputs

1. Muon (g-2):

2. W Mass:

3. Superpartner Masses:

Size of error bar crucial

Start analysis with collider lower bounds and vary later

GF

MZ2

2MW2 MZ

2 MW2 1 r

0.0091 rSUSY 0.0037

mt , MH

Muon g-2

SM Theory

J. Miller

Muon g-2

SUSY

Muon g-2SUSY

Muon g-2

W Boson & Top Quark Masses

GF

MZ2

2MW2 MZ

2 MW2 1 r

Most precisely measured

Dominant uncertainties

mt

0.0091 rSUSY 0.0037

MW=80.425 +/- 0.034Mt=178.0 +/- 2.7 +/- 3.3

MZ=91.1875 +/- 0.0021

Visible World

Hidden World

Flavor-blind mediation

SUSY Breaking

SUSY theory must explain why no SUSY particles yet seen

M ˜ q M ˜

M ˜ e me

M ˜ q mq

M ˜ MW ,Z ,

105 parameters~ 5 parameters

Visible World

Hidden World

Flavor-blind mediation

SUSY Breaking

SUSY Theory

M ˜ q M ˜

Flavor-blind SUSY-breaking

Exp’t

M ̃L M ̃q L

Experiment

Kurylov & R-M

clashes with

CC (non) universality & the MSSM

Data appear to conflict with MSSM & models having flavor-blind SUSY-breaking mediation

Possible resolutions:

1. MSUSY > TeV

2. Hadronic effects in SM predictions

3. Something is wrong with exp’t

4. New models of SUSY-breaking

5. Go beyond the MSSM

SUSY irrelevant to low energy observables

Better control of non-pQCD

Exp’t: n decay, Ke3 decay

???

Break R-parity

New ideas needed !

But NuTeV

LANSCE, NIST, SNS…

Kaon Decays & Vus

KLOE Prelim

Unitarity

Vus

Cirigliano & De Lucia

Kaon Decays & Vus

KLOE Prelim

Unitarity

Vus

CC (non) universality & the MSSM

Data appear to conflict with MSSM & models having flavor-blind SUSY-breaking mediation

Possible resolutions:

1. MSUSY > TeV

2. Hadronic effects in SM predictions

3. Something is wrong with exp’t

4. New models of SUSY-breaking

5. Go beyond the MSSM

SUSY irrelevant to low energy observables

Better control of non-pQCD

Exp’t: n decay, Ke3 decay

???

Break R-parity But NuTeV

Visible World

Hidden World

Flavor-blind mediation

SUSY Breaking

SUSY Theory OK if no SUSY dark matter

0 e e

e e

˜ e Rk

12k 12k

Test in scattering experiments

“R parity violation” (RPV)

Weak decaysMW

l2

APV

R-Parity Violation (RPV)

WRPV = ijk LiLjEk + ijk LiQjDk +/

i LiHu

+ ijkUiDjDk

L=1

B=1

Li, Qi

Ei, Ui, Di

SU(2)L doublets

SU(2)L singlets

proton decay: Set

ijk =0

Four-fermion Operators

e e

˜ e Rk

12k 12k

e

d e

d

˜ q Lj

1j1

1j1

L=1 L=1

12k 12k

2

4 2GF M ̃e Rk

21j 1

/ iji

/ 2

4 2GFM ̃q Lj

2