1 What do we want to know? Measure the SUSY masses/parameters 4 Independent Variables M=10.6 GeV.

1

What do we want to know?

GeV .6140M

GeV 2.151M

GeV 260 M

GeV 830M

01

02

χ~

~

χ~

g~

0.1 h2~0

1

0)(Sgn

0 A

40tan

GeV 350 M

GeV 210M

0

1/2

0

Measure the SUSY masses/parameters

4 Independent Variables

M=10.6 GeV

2

Observable 1

Slope of PT distribution is largely unaffected by Gluino Mass

3

Observable 2

M in peak a gives ~ ~ 02

02 Clean peak

Even for low M

M Larger Mass ~ Larger 02

4

Observable 3

Peak value depends on squark mass

j02

02 M in peak a gives ~q ~qq~

5

4 Variables and 4 Unknowns

GeV .6140M

GeV 6.10MM M

GeV 260 M

GeV 830M

01

01

02

χ~

χ~~

χ~

g~

g~χ~

g~χ~

1/2

0

M17.0~M

M32.0~M

GeV 350 M

GeV 210M

01

02

1. Number of events2. Slope of the PT distribution of the

softest 3. The peak of the M distribution4. The peak of the Mj distribution

Equivalent Measurements

Make Simultaneous Measurements

Measure Parameters and Test Universality

6

Measure M and the Gluino Mass

•The slope of the PT distribution of the ’s only depends on the M

•The event rate depends on both the Gluino mass and M

•Can make a simultaneous measurementAn important

measurement without

Universality assumptions!

Results for ~300 events(10 fb-1 depending on the

Analysis)

10.6)M 830,M for (ResultsG~

Assuming the Universality

Constraints Improves the Measurement

}~15 GeV or ~2%}

~0.5 GeV or ~5%

7

Infer m0 and m1/2

M0 (GeV)

M1

/2 (

GeV

) GeV 10.6M

GeV 830M

for Results

G~

| ~3 GeV or ~2% |

| ~

7 G

eV

|or

~3%Assuming

Universality

8

Do we live in a world with Universal Couplings?

Relations Mass mSUGRA the to compare and M and M ,M,M

of tsmeasuremen ussimultaneo make to sobservable 4 all Use

g~χ~χ~ 02

01

g~χ~

g~χ~

M17.0~M

M32.0~M

01

02

| ~

5%

|

| ~10% |

9

Cosmology Measurements

way either h measure can We 2~0

1

No Universality Assumptions4 Observables and 4

Unknowns

With Universality Assumptions

4 Observables and 2 Unknowns

5% is which WMAP to Compare

10% 20% SmallM measurementConfidence we are in

the co-annihilation region

LSP is the Dark Matter