# Presentation: 947769

## 	1) Status of the Muon g-2 Experiment2) EDM Searches in Storage Rings          

- _Yannis K. Semertzidis_
- _Brookhaven National Lab_
- _Muon g-2 Collaboration_
- and _EDM Collaboration_

**HEP03**
**Athens, 17-20 April 2003**

## Muon g-2 Collaboration

- †Spokesperson  ‡Project Manager  # Resident Spokesperson

## Prof. Vernon W. Hughes (1921  2003)

## g-factors:

- Proton (gp=+5.586) and the neutron (gn=-3.826) are composite particles.
- The ratio gp/gn=-1.46 close to the predicted –3/2 was the first success of the constituent quark model.
- The g-2 value of the electrons is non-zero due to quantum field fluctuations involving QED.
- gμ - 2 is more sensitive than the electron by (mμ/me)2≈40,000.

##  g - 2  for the muon

- Other standard model contributions :

## Theory of aμ

*a*μ(theo) = *a*μ(QED)+*a*μ(had)+*a*μ(weak)
-                      + *a*μ(new physics)
*a*μ(QED) = 11 658 470.57(0.29)×10-10
*a*μ(had)   =              683.3  (7.7) ×10-10 (based on e+e-)
*a*μ(weak) =               15.1  (0.4) ×10-10
*a*μ(SM)   = 11 659 169(7.7)×10-10

## Spin Precession in g-2 Ring(Top View)

****

## The Muon Storage Ring:             B ≈ 1.45T, Pμ≈3.09 GeV/c
Inner Ring of Detectors

**The Muon Storage Ring:             B ****≈**** 1.45T, P****μ****≈3.09 GeV/c**
**Inner Ring of Detectors**

**High Proton Intensity from AGS**
**Muon Injection**

## Field Focusing Index: n=0.137

- Weak Focusing Ring.Tune Plane:

## 4 Billion e+ with E>2GeV

- 4 Billion e+ with E>2GeV

## 5-parameter Function Not Quite Adequate.  Fourier Spectrum of the Residuals:

*f**g-2  **≈**229 *KHz* *
*f**cbo**≈**466 *KHz

## Modulation of N0, A,     with fcbo:

**Notes:**
Amplitudes of modulations have been confirmed by MC simulations.

## Modulation of N0, A,     with fcbo:

**Notes:**
Amplitudes of modulations have been confirmed by MC simulations.

## Modulation of N0, A,     with fcbo:

- Modulation of *N**0**, A, *    with *f**cbo*:

**Notes:**
Amplitudes of modulations have been confirmed by MC simulations.

## Fit dN/dt of each Detector Separately with the 5-parameter (ideal) Function. Then Fit ωa versus Detector:

- Fit *dN/dt* of each Detector Separately with the 5-parameter (ideal) Function. Then Fit *ω**a* versus Detector:

- Straight line fit: χ2/dof=59/21, *ω**a**/2**π=229070.60±0.14 Hz*

## Fit dN/dt of each Detector Separately with the 5-parameter (ideal) Function. Then Fit ωa versus Detector:

- Fit *dN/dt* of each Detector Separately with the 5-parameter (ideal) Function. Then Fit *ω**a* versus Detector:

- Straight line fit: χ2/dof=59/21, *ω**a**/2**π=229070.60±0.14 Hz*
- Sine wave fit:    χ2/dof=24/19, *ω**a**/2**π=229070.64±0.14 Hz*

## Fit dN/dt with the 5-parameter Function including the Modulation of N0, A,     with fcbo. Fit ωa versus Detector:

- Fit *dN/dt* with the 5-parameter Function including the Modulation of *N**0**, A,     *with *f****cbo***. Fit *ω**a* versus Detector:

- Straight line fit: χ2/dof=24/21, *ω**a**/2**π=229070.54±0.16 Hz*

## Function Modulating N0, A,     with fcbo.

- Four _Independent_ Analyses of *ω**a* Using Various Studies:

**Notes:**
AGS Background, timing shifts, E field and vertical oscillations, beam debunching/randomization.

## Function Modulating N0, A,     with fcbo.
Function Modulating N0, A with fcbo.

- Function Modulating *N**0**, A *with *f**cbo*.

- Four _Independent_ Analyses of *ω**a* Using Various Studies:

**Notes:**
AGS Background, timing shifts, E field and vertical oscillations, beam debunching/randomization.

## Function Modulating N0, A,     with fcbo.
Function Modulating N0, A with fcbo.
Strobing the data at fcbo; ωa Becomes Independent of fcbo.

- Function Modulating *N**0**, A *with *f**cbo*.
- Strobing the data at *f**cbo*; *ω**a** *Becomes Independent of *f**cbo*.

- Four _Independent_ Analyses of *ω**a* Using Various Studies:

**Notes:**
AGS Background, timing shifts, E field and vertical oscillations, beam debunching/randomization.

## Function Modulating N0, A,     with fcbo.
Function Modulating N0, A with fcbo.
Strobing the data at fcbo; ωa Becomes Independent of fcbo.
Ratio Method; ωa Becomes Independent of Slow Effects, e.g. Muon Losses.

- Function Modulating *N**0**, A *with *f**cbo*.
- Strobing the data at *f**cbo*; *ω**a** *Becomes Independent of *f**cbo*.
- Ratio Method; *ω**a** *Becomes Independent of Slow Effects, e.g. Muon Losses.

- Four _Independent_ Analyses of *ω**a* Using Various Studies:

**Notes:**
AGS Background, timing shifts, E field and vertical oscillations, beam debunching/randomization.

## Function Modulating N0, A,     with fcbo.
Function Modulating N0, A with fcbo.
Strobing the data at fcbo; ωa Becomes Independent of fcbo.
Ratio Method; ωa Becomes Independent of Slow Effects, e.g. Muon Losses.

- Function Modulating *N**0**, A *with *f**cbo*.
- Strobing the data at *f**cbo*; *ω**a** *Becomes Independent of *f**cbo*.
- Ratio Method; *ω**a** *Becomes Independent of Slow Effects, e.g. Muon Losses.

- Four _Independent_ Analyses of *ω**a* Using Various Studies:

**Notes:**
AGS Background, timing shifts, E field and vertical oscillations, beam debunching/randomization.

## Magnetic Field measurement

- The *B* field azimuthal variation at the center of the storage region. <B>1.45 T

- The *B* field averaged
- over azimuth.

## Magnetic Field Measurement

## Computation of aμ:

*Analyses of **ω**a** and **ω**p** are Separate and Independent (“*_***Blind Analysis***_*”).  When Ready, only then, Offsets are Removed and a**μ** is Computed.*

## Computation of aμ:

- _Data of 2000:_***a******μ******(exp)=11 659 204(7)(5)×10******-10 *****(0.7 ppm) **
**      **_Exp.__*** ***__World Average:_ ***a******μ******(exp)=11 659 203(8)×10******-10 *****(0.7 ppm)**
***a*****μ****(exp)- *****a*****μ****(SM)=33.7(11)×10****-10****, 3σ effect!**

## Hadronic contribution (had1)

## Evaluation of R

- M. Davier *et al*., hep-ph/0208177.v3

## Difference between e+e- and 

- Difference between e+e- and 

- M. Davier *et al*., hep-ph/0208177.v3

## aμ(had1,e+e-)=(685±7)×10-10
aμ(had1,τ)    =(709±6)×10-10

e+e- based              τ based
Correct		Correct       τ-data interpr. wrong
Correct                 Wrong
Wrong*		Correct
Wrong* 		Wrong      T. Blum, hep-lat/0212018
*Other (e+e-) collaborations are looking into it see, e.g., the KLOE Collaboration, hep-ex/0210013

aμ(exp)- aμ(SM, e+e-)=33.7(11)×10-10
aμ(exp) -aμ(SM, τ)    =  9.4(11)×10-10

***a*****μ****(had1,τ)    =(709±6)×10****-10**
_**e**__**+**__**e**__**-**__** based              τ based**_
**Correct****	****	****Correct**       τ-data interpr. wrong
**Correct                 Wrong**
**Wrong*********	****	****Correct**
**Wrong********* ****	****	****Wrong      **T. Blum, hep-lat/0212018
***Other (e****+****e****-****) collaborations are looking into it see, e.g., the KLOE Collaboration, hep-ex/0210013**
**a****μ****(exp)- ****a****μ****(SM, e****+****e****-****)=33.7(11)×10****-10**
**a****μ****(exp) -****a****μ****(SM, τ)    =  9.4(11)×10****-10**

- M. Davier *et al*., hep-ph/0208177.v3

## aμ(had1,e+e-)=(685±7)×10-10
aμ(had1,τ)    =(709±6)×10-10

e+e- based              τ based
Correct		Correct       τ-data interpr. wrong
Correct                 Wrong
Wrong*		Correct
Wrong* 		Wrong      T. Blum, hep-lat/0212018
*Other (e+e-) collaborations are looking into it see, e.g., the KLOE Collaboration, hep-ex/0210013

aμ(exp)- aμ(SM, e+e-)=33.7(11)×10-10
aμ(exp) -aμ(SM, τ)    =  9.4(11)×10-10

***a*****μ****(had1,τ)    =(709±6)×10****-10**
_**e**__**+**__**e**__**-**__** based              τ based**_
**Correct****	****	****Correct**       τ-data interpr. wrong
**Correct                 Wrong**
**Wrong*********	****	****Correct**
**Wrong********* ****	****	****Wrong      **T. Blum, hep-lat/0212018
***Other (e****+****e****-****) collaborations are looking into it see, e.g., the KLOE Collaboration, hep-ex/0210013**
**a****μ****(exp)- ****a****μ****(SM, e****+****e****-****)=33.7(11)×10****-10**
**a****μ****(exp) -****a****μ****(SM, τ)    =  9.4(11)×10****-10**

## aμ(had1,e+e-)=(685±7)×10-10
aμ(had1,τ)    =(709±6)×10-10

e+e- based              τ based
Correct		Correct       τ-data interpr. wrong
Correct                 Wrong
Wrong*		Correct
Wrong* 		Wrong      T. Blum, hep-lat/0212018
*Other (e+e-) collaborations are looking into it see, e.g., the KLOE Collaboration, hep-ex/0210013

aμ(exp)- aμ(SM, e+e-)=33.7(11)×10-10
aμ(exp)- aμ(SM, τ)    =  9.4(11)×10-10

***a*****μ****(had1,τ)    =(709±6)×10****-10**
_**e**__**+**__**e**__**-**__** based              τ based**_
**Correct****	****	****Correct**       τ-data interpr. wrong
**Correct                 Wrong**
**Wrong*********	****	****Correct**
**Wrong********* ****	****	****Wrong      **T. Blum, hep-lat/0212018
***Other (e****+****e****-****) collaborations are looking into it see, e.g., the KLOE Collaboration, hep-ex/0210013**
***a*****μ****(exp)- *****a*****μ****(SM, e****+****e****-****)=33.7(11)×10****-10**
***a*****μ****(exp)- *****a*****μ****(SM, τ)    =  9.4(11)×10****-10**

## Beyond standard model, e.g. SUSY

- W. Marciano, J. Phys. G29 (2003) 225

## Supersymmetric Dark Matter in Light of WMAP

_**Supersymmetric Dark Matter in Light of WMAP**_
**J. Ellis, K.A. Olive, Y. Santoso, and V.C. Spanos, hep-ph/0303043**

**Figure 2: The strips display the regions of the (m****1/2****, m****0****) plane that are compatible with 0.094<****Ω****x****h****2****<0.129 and the laboratory constraints for μ>0 and tanβ = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55.****  ****The parts of the strips compatible with g****μ****-2 at the 2-σ level have darker shading.**

## Precision measurements and “New Physics” W. Marciano, J. Phys. G29 (2003) 225

**Electroweak physics:**
*α**-1**=137.035 998 77(40)*
*G**μ**=1.16637(1)×10**-5 *GeV-2
*m**z**=91.1875(21)* GeV
*m**w**=80.451(33)* GeV
*Sin**2**θ**w**(m**z**)=0.23085(21)*
*m**t**≈174.3±5.1* GeV
*Δα*Had*=0.02761*

**Global fits:**

**Experimentally:**

*Δα*Had*≈0.02752 (new e**+**e**-** data)*
*Δα*Had*≈0.02780 (new  τ data)*

## Precision measurements and “New Physics” W. Marciano, J. Phys. G29 (2003) 225

**Electroweak physics:**
*α**-1**=137.035 998 77(40)*
*G**μ**=1.16637(1)×10**-5 *GeV-2
*m**z**=91.1875(21)* GeV
*m**w**=80.451(33)* GeV
*Sin**2**θ**w**(m**z**)=0.23085(21)*
*m**t**≈174.3±5.1* GeV
*Δα*Had*=0.02761*

**Global fits:**

**Experimentally:**

*Δα*Had*≈0.02752 (new e**+**e**-** data)*
*Δα*Had*≈0.02780 (new  τ data)*

## Present

- In 2001 we have collected 3.7 Billion electrons with E>1.8GeV  from a run with negative muons (μ-).  Run at n=0.122 and n=0.142. The analysis is going very well.

**Notes:**
It will naturally conclude the experiment. Help from the HEP community is needed here.

## Present

- _Present_

- In 2001 we have collected 3.7 Billion electrons with E>1.8GeV  from a run with negative muons (μ-).  Run at n=0.122 and n=0.142. The analysis is going very well.

- n=0.122

- n=0.142

*f**g-2  **≈**229 *KHz* *
*f**cbo **≈**419 *KHz

*f**g-2  **≈**229 *KHz* *
*f**cbo **≈**491 *KHz

**Notes:**
It will naturally conclude the experiment. Help from the HEP community is needed here.

## Muon and Deuteron Electric Dipole Moments in Storage Rings

- Revolutionary New Way of Probing EDMs.

**What’s next...**

## Muon and Deuteron Electric Dipole Moments in Storage Rings

- Forefront of SUSY Search

**What’s next...**

## Muon Electric Dipole Moment at the 10-24e.cm Level

- It is Muon’s other (than g-2) Interesting Parameter
- It Probes SUSY (SM Predicted Value ~10-35e.cm)
- It Violates CP;  Could explain the Baryon-Antibaryon Asymmetry in Universe

## Spin Precession in g-2 Ring(Top View)

****

## Spin Precession in EDM Ring(Top View)

****

## The muon spin precesses vertically

## Radial E-field to Cancel the g-2 Precession

- Radial E-Field:

**The method works well for particles with small *****a***

## Parameter Values of Muon EDM Experiment

- Radial E-Field:
- E=2MV/m
- Dipole B-field: B~0.25T
- Muon Momentum:
- Need NP2=1016  for 10-24e.cm. Muon EDM LOI: (http://www.bnl.gov/edm) to J-PARC, one year of running.

## Deuteron EDM to <110-25 e•cm Sensitivity Level

*a=-0.143, B~0.25T, **β~0.2*
- The Best EDM Limit for T-odd Nuclear Forces (Khriplovich).
- It Improves the Current Proton EDM Limit by a Factor of 1000.
- Statistical Sensitivity ~10-26 e•cm for 107s.

## Summary:

***a******μ******(exp)=11 659 203(8)×10******-10 *****(0.7 ppm) from 2000 run.**
**Have 3.7 Billion electrons with E>1.8GeV ****from the 2001 run ****(****μ****-****). Run at different n-values: n=0.122 and 0.142.  Analysis is going very well.**
**There is a lot of effort to reconcile the ****e****+****e****-**** and τ data. **
**Many ****e****+****e****-**** collaborations are going to check the *****a*****μ****(had1)**** (using radiative return)*****. ***
**Calculate *****a*****μ****(had1)**** on the Lattice*****.***

## Sensitive Muon and Deuteron Electric Dipole Moment Searches in Storage Rings

- Revolutionary New Way of Probing EDMs.
- Exciting Physics

**...****Summary**