B. Lee Roberts, PANIC05, Santa Fe, 27 October, 2005 - p. 1/35 Muon (g-2) Status and Plans for the Future B. Lee Roberts Department of Physics Boston University.

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Presentation transcript:

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 1/35 Muon (g-2) Status and Plans for the Future B. Lee Roberts Department of Physics Boston University

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 2/35 Magnetic moments, g-factors

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 3/35 The Muon Trio: Lepton Flavor Violation Muon MDM (g-2) chiral changing Muon EDM Dirac, Pauli moment

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 4/35 Electric and Magnetic Dipole Moments Transformation properties: An EDM implies both P and T are violated. An EDM at a measureable level would imply non-standard model CP. The baryon/antibaryon asymmetry in the universe, needs new sources of CP.

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 5/35 Present EDM Limits ParticlePresent EDM limit (e-cm) SM value (e-cm) n future  exp to * final limit will be better, * projected.

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 6/35 Unlike the EDM, there is a large SM value for the MDM The Electron: to the level of the experimental error (4ppb), Contribution of μ, (or anything heavier than the electron) is ≤4 ppb. For the muon, the relative contribution of heavier particles

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 7/35 Standard Model Value for (g-2)

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 8/35 SM value dominated by hadronic issues: Lowest order hadronic contribution ( ~ 60 ppm) Hadronic light-by-light contribution ( ~ 1 ppm) The error on these two contributions will ultimately limit the interpretation of a more precise muon (g-2) measurement.

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 9/35 Lowest Order Hadronic contribution from e + e - annihilation

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 10/35 a(had) from hadronic  decay? Assume: CVC, no 2 nd -class currents, isospin breaking corrections. n.b.  decay has no isoscalar piece, while e + e - does Many inconsistencies in comparison of e + e - and  decay: - Using CVC to predict  branching ratios gives 0.7 to 3.6  discrepancies with reality. - F  from  decay has different shape from e + e -.

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 11/35 New Physics; SUSY (with large tanβ )

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 12/35 SUSY connection between a , d μ, μ → e

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 13/35 Muon (g-2) : E821 Superconducting “superferric” storage ring –superconducting inflector –fast muon kicker –magic , –direct muon injection with a fast non-ferric kicker

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 14/35 Use an E field for vertical focusing spin difference frequency =  s -  c 0

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 15/35 Spin Precession Frequencies:  in B field with both an MDM and EDM The motional E - field, β X B, is much stronger (~GV/m) than laboratory electric fields.

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 16/35 Spin Precession Frequencies:  in B field with both an MDM and EDM The EDM causes the spin to precess out of plane and increases |  | The motional E - field, β X B, is much stronger (~GV/m) than laboratory electric fields.

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 17/35 Spin Precession Frequencies:  in B field with both an MDM and EDM The if the EDM were 2.8 x e cm,  a would increase by 2.9 ppm.

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 18/35 Muon (g-2): Store  ± in a storage ring magnetic field averaged over azumuth in the storage ring

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 19/35 Muon (g-2) Present precision: ± 0.5 ppm

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 20/35 Can we improve the sensitivity of this confrontation between experiment and theory? Yes –E969 at BNL has scientific approval to go from 0.5 ppm → 0.2ppm –At a more intense muon facility we could do better. Will Theory Improve beyond 0.6 ppm? Yes –better R measurements from: KLOE, BaBar, Belle, SND and CMD2 at Novosibirsk –More work on the strong interaction Theory could eventually improve to ~0.2 ppm

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 21/35 Exclusion/Limitations on New Physics

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 22/35 SUSY, dark matter, (g-2)   CMSSM (constrained minimal supersymmetric model) scalar mass gaugino mass

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 23/35 Future Comparison:  E969 =  now

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 24/35 Future Comparison:  E969  Historically (g-2) has played an important role in restricting models of new physics.

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 25/35 E969 at BNL Scientific approval in September 2004 –at present: no funds for construction or running Goal: total error = 0.2 ppm –lower systematic errors –more beam

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 26/35 Strategy of the improved experiment More muons – E821 was statistics limited  stat = 0.46 ppm,  syst = 0.3 ppm –Backward-decay, higher-transmission beamline –Double the quadrupoles in the  decay line

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 27/35 Strategy of the improved experiment New, open-end inflector Upgrade detectors, electronics, DAQ x 2 in flux

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 28/35 E969: Systematic Error Goal Systematic uncertainty (ppm) E969 Goal Magnetic field –  p Anomalous precession –  a

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 29/35 a μ implications for the muon EDM This paper, published before our February 2001 announcement predicts a large muon EDM, and a corresponding SUSY contribution to a μ comparable to what we might be observing, with the e - EDM predicted to be 0.1 of the present limit.

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 30/35 a μ implications for the muon EDM

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 31/35 Dedicated EDM measurement: operate with  ≈ 5 << 29.3 use a radial E-field to turn off (g-2) precession Place detectors above and below the vacuum chamber and look for an up/down asymmetry which builds up with time

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 32/35 Beam Needs: NP 2 the figure of merit is N μ times the polarization. We need to reach the e-cm level. Since SUSY calculations range from to e cm, more muons is better.  = 5*10 -7 (Up+Down) time (  s) (Up-Down)

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 33/35 Where E821 came from:

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 34/35 Today: All E821 results were obtained with a “blind” analysis. world average

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 35/35 Summary (g-2)  provides a precise check of the standard model, and accesses new physics in a way complementary to other probes. (g-2)  provides serious constraints on physics beyond the standard model. The hadronic contribution will eventually set the limit on useful precision, but substantial improvement can and will be made, both in theory and experiment beyond the present situation.

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 36/35

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 37/35 Recent News from Novosibirsk SND has just released their results (hep-ex/ ) for the cross section e + e - →  +  - over the . –Error on dispersion integral 50% higher than CMD2 –Good agreement with CMD2 –Completely independent from CMD2

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 38/35 Improved transmission into the ring Inflector Inflector aperture Storage ring aperture E821 Closed EndP969 Proposed Open End

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 39/35 Beyond E969? It’s not clear how far we can push the present technique. To get to 0.06 ppm presents many challenges. Perhaps a new storage ring design, and a smaller aperture. –detectors for another factor of 4 will be very challenging. At a proton driver/neutrino factory we certainly we can get more muons

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 40/35 E969: Systematic Error Goal Field improvements will involve better trolley calibrations, better tracking of the field with time, temperature stability of room, improvements in the hardware Precession improvements will involve new scraping scheme, lower thresholds, more complete digitization periods, better energy calibration Systematic uncertainty (ppm) E969 Goal Magnetic field –  p Anomalous precession –  a

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 41/35 Better agreement between exclusive and inclusive (  2) data than in analyses Agreement between Data (BES) and pQCD (within correlated systematic errors) use QCD use data use QCD Evaluating the Dispersion Integral from A. Höcker ICHEP04

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 42/35 Tests of CVC (A. H ö cker – ICHEP04)

B. Lee Roberts, PANIC05, Santa Fe, 27 October, p. 43/35 Shape of F  from e + e - and hadronic  decay zoom Comparison between t data and e+e- data from CDM2 (Novosibirsk) New precision data from KLOE confirms CMD2