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From yeV to TeV : Search for the Neutron Electric Dipole Moment ASU, Berkeley, Boston, Brown, Caltech, Duke, HMI, Illinois, Indiana, Kentucky, MSU, LANL, Maryland, MIT, NCSU, ORNL, SFU, Yale. DHB/Illinois 9 Apr 10. Outline Physics T violation standard model beyond standard model
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From yeV to TeV:Search for the Neutron Electric Dipole MomentASU, Berkeley, Boston, Brown, Caltech, Duke, HMI, Illinois, Indiana, Kentucky, MSU, LANL, Maryland, MIT, NCSU, ORNL, SFU, Yale DHB/Illinois 9 Apr10 • Outline • Physics • T violation • standard model • beyond standard model • Experiment • ultra-cold neutrons • the other small miracles • status
T Violation and Neutron EDM s m T m d d s • Existence of particle EDM implies T reversal sym’y violation • spin is only orientation (vector) in problem: or • T reversal violation implies CP violation if CPT symmetry preserved • observation; requires only locality, Lorentz invariance and Hermitian Hamiltonian • EDM of complex ‘particles’, e.g. KRbor NH3 or H2O? • weak field limit of d for a pure state averages to zero • for, e.g. NH3, N equally likely to be ‘on top’ or ‘on bottom’ relative to s • when oriented by strong enough field, interaction energy eventually linear
CP Violation and Weak Interactions • CP violation is observed in neutral K and B meson decays • Christenson, Cronin, Fitch, Turlay, PRL 13 (64) see 2p decay of KL • fundamental CP violating parameters difficult to determine from K decays – soft QCD! • Move to Bd & Bs systems: lattice QCD calculations better • “B factories” measure B meson decays from U(4s)
CKM Matrix • Takes mass eigenstates to weak eigenstates • Generic version • Wolfenstein parameterization • h is the CP-violating phase (flavor changing couplings) • CP-violating diagrams involve mixing • “flavor diagonal” CP violation?
EDMs in SUSY • Standard model assumes (local) electroweak symmetry breaking due to single Higgs doublet • radiative corrections in this model diverge at higher energies • “super” symmetry prevents these radiative corrections • gauge couplings approach same value at high energy • provides natural dark matter candidate • Assume SUSY at high energy; softly broken at accessible energies • few dozen complex ‘soft-breaking’ parameters • As example: a drastic reduction of phases to 2: CMSSM(Pospelov and Ritz, Ann. Phys. 318 (2005) 119) • all squark masses equal • single higgsino mass phase, qm • all 3-boson (squarkL Higgs squarkR) couplings have common phase qA
EDMs in CMSSM • cotanb for u quarks, etc. • sometimes stated as the SUSY CP problem q q Pospelov and Ritz: MSUSY = 500 GeV, tanb = 3
QCD Effects on EDMs • Simple quark model estimate • Using QCD sum rule approach for neutron structure (Pospelov and Ritz) • “color” electric dipole moments: • Similarly the corresponding expression for 199Hg would be • effects rewritten from CP-violating pNN couplings
Proton/Deuteron EDM • Deuteron would be • note that • Clever idea: beam of p/D in storage ring • (vertical) holding field produces strong (radial) E field • start with longitudinally polarized beam, dp/D causes spin to rotate out-of-plane • detect spin direction with proton/deuteron polarimeter B E p/D • PROBLEM: g-2! • synchronous (de)acceleration: Gd ~ Sx(v(t)xB) • spin dressing fields (g-2 0) • radial electric field to cancel precession (BMT)
CP Violation: q Term in LQCD • New term appears in LQCD: SU(3) gauge group • sometimes called strong CP violation • note: the trace is also related to the divergence of the axial U(1) current (mh’ >> mp) • present limit on 199Hg (neutron) EDM restricts q < 3x10-10(10-10) • Why? Peccei& Quinn propose additional hidden symmetry • q ‘relaxes’ to zero • axion is hypothetical particle remnant of sym’ybreaking • experiments continue to look for evidence
Baryon Asymmetry of the Universe • Observation • Sakharov criteria • fundamental interactions violate baryon number, B • Universe has undergone non-equilibrium processes (phase-transitions) • there has been CP violation: distinguishes between baryons and antibaryons • Baryon asymmetry may come from lepton asymmetry • CP violation in neutrino sector may be transmitted by B-L conserving interactions at scale of heavy neutrino mass
nEDM at SNS Spallation Neutron Source Oak Ridge National Laboratory nEDM Hall Ground Breaking (ORNL, 6 Feb. 09) “Shovel Ready” nEDM Hall July 09 (now complete)
Neutron EDM Measurement • Measure precession frequency • for E = 50 kV/cm, d = 2x10-28 e·cm, dE = 10 yeV! • nm= 3 Hz, nd = 10 nHz, nd/nm= 0.03 ppm • c.f. (g-2)muon: dn/n= 0.7 ppm • Challenges • trap large number of neutrons • large E • measure precession frequency • nuclear interaction: n + 3He • measure E and B accurately • Kerr effect and 3He magnetometer, respectively
Neutron EDM Experiment:Trapping Neutrons n n polarized neutron v = 440 m/s phonon Incident neutrons have same energy andmomentum as phonons in superfluid helium: they interact and stop Superfluid helium
Neutron EDM Experiment:Neutron Precession n n n n n Bpulse n B0 Superfluid helium
Neutron EDM Experiment:Precession Measurement (1) n n n n n n 3He 3He 3He 3He 3He 3He 3He 3He Add polarized 3He atoms (nearly same magnetic moment as neutrons) B0 Superfluid helium
Neutron EDM Experiment:Precession Measurement (2a) n n 3He 3He 3He, n spins parallel: “no” interaction B0 Superfluid helium
Neutron EDM Experiment:Precession Measurement (2b) n p 3H 3He p and 3H give off scintillation light B0 3He, n spins anti-parallel – large reaction probabilty → p + 3H Superfluid helium
Neutron EDM Experiment:EDM Measurement n n n n n n B0 E0 Superfluid helium
Apparatus Overview 3He injection volume DR LHevolume (~300 liters) Dilution refrigeratormixing volume Central LHevolume (~1000 Liters) Re-entrant insert for neutron guide Measurement cell/electrode assembly
Schematic Experiment B Measurement Cells E Ground HV n n Measurement cell cutaway Scintillation signal
3He Subsystem (Illinois) • Simplified measurement cycle • Complete measurement of relative precession of polarized neutrons and 3He (1000 s) • Remove (‘depolarized’) 3He from measurement cells • Move fresh polarized 3He into measurement cells • Accumulate polarized neutrons in measurement cells (1000 s) • Flip spins with p/2 pulse, begin relative precession measurement • Remove (‘depolarized’) 3He from intermediate volume • Load polarized 3He into intermediate volume
Producing Polarized 3He • Low flux (1014 /s) → quadrupole spin selector (Lamoreaux) • effusive source of cold 3He atoms (0.8 K), v3 ~ 100 m/s • permanent magnet quadrupole (1.25 m long, Bmax = 0.75 T) • Spins aligned to quadrupole field at output • adiabatic change in magnetic field to solenoid • Measured flux & polarization • R3 = 4x1014 /sP3 = 99.6±0.2%
Moving 3He Around Vespel builds up in a ridge above the seal line Region where surface has been scraped during closure Diamond machined surface • Developed superfluid tight, large (~ 1 in.) diameter valves • “a technical challenge that is beyond present experience” • Vespel seals (bulk Kapton) • ‘cork in bottle’ style • Body, flanges: Torlon • high performance plastic • low thermal expansion (~ Cu) • V-groove Kapton seals • glue ‘glass-loaded’ to ‘plain’ Torlon Double BeCu Bellows Vespel “plug” Vespel “close seat” • > 104 cycles, superfluid tight • 80 lb sealing force A. Esler, et al. nucl-ex0703029 P. –H. Chu et al., to be published
(Re)moving 3He with Phonons • Experiment: T ~ 0.45 K • Heat generates phonon flow • Navier-Stokes reduces to Poissieulle in pipe(with slip) • Free energy (normal fluid) Heat source • fountain pressure • Heat carried by phonons 3He distribution X Hayden et al. PRL 93 (2004) 105302
(Re)moving 3He with Phonons (2) • Phonons scatter 3He • Complications S. Lamoreaux, et al. Europhys. Lett. 58 (2002) 718 • Boltzmann for phonons • Benin & Maris, Phys. Rev. 18 (1978) 3112 • Poiseuille o.k. for L > d/3 • Need Boltzmann for interacting system
Limit of Large Lph (Low T) • For a pipe with a uniform temperature gradient, diffusive scattering at the walls • phonon at with momentum originating from wall at has distribution • giving the phonon drift velocity distribution • integrating to find the heat (volume) flow gives the standard Casimir thermal conductivity H. G. B. Casimir, Physica (Utrecht) 5 (1938) 495
Polarized 3He Relaxation • Relaxation time >> measurement time? • magnetic field gradients (Caltech/ASU) • wall relaxation for variety of materials (acrylic cells, Torlon plumbing, etc.) • Polarize 3He (metastability exchange optical pumping @1 Torr), inject into He II (~0.5 K) • Test cell material first • dTPB/dPS coated acrylic • cell geometry different from nEDM measurement cells …
Polarized 3He Relaxation Illinois Data Pd 210-7 Duke/NCSU Data Pd 510-7 1/TS (s-1) 1/TS (s-1) (Sliquid + Sfilm)/ Vliquid (cm-1) (Sliquid + Sfilm)/ Vliquid (cm-1) • Simple kinetic theory argument • Which S/V? • film covers entire surface even when cell is only partly full • Test other materials • dTPB/dPS: Pd = 1x10-7/bounce • nEDM cell lifetime ~ 2x104 s • Torlon: Pd = 1x10-6/bounce • Resin-coated BeCu: Pd = 7x10-7/bounce • Resin-coated Torlon: Pd = 2x10-7/bounce
We need materials that don’t depolarize 3He Polarization Lifetime Apparatus at “the Barn” (south side of Campus) Bare Torlon Depolarization probability per bounce Coated Torlon Torlon Rod in Cell • Use NMR to measure decay of polarization • Measure down to 0.5K • Materials: • acrylic coated with scintillator (measurement cell) • Torlon (high strength plastic for valves and tubes)
Spin “Dressing” • Interacting system of spins and (r.f.) photons z, B0 S • add non-resonant r.f. magnetic field, Bx(t) to B0 • precession in y-z plane y Bx(t) • time-averaged projection Sz x • effectivegyromagnetic ratio • “critical” dressing: equalize 3He and n precession rates R. Golub and S. Lamoreaux, Phys. Rep. 237 (1994) 1; E. Muskat, et al. PRL 58 (1987) 2047
Spin Dressing (2) • More sophisticated treatment for general case A. Esler, et al. Phys. Rev. C (2007) 051302 P. –H. Chu et al., to be published
nEDM Project • ‘Approved’ at Fundamental Neutron Physics Beamline (FNPB) at Spallation Neutron Source • DOE: CD0 – December 2005 CD1 – August 2006 • NSF: Proposal Fa07 (Beck & Filippone) • $7.25M • Current: project management LANL ORNL • Rebaselining • Annual review: Mar 29-31 • Staged CD-2/CD-3a … ? • Expected ass’y ~ 2015
Summary Physics of T reversal violation • existing CP violation connected with Higgs couplings in SM (CKM matrix) • direct realization of baryon asymmetry requires more CP violation • multi-Higgs, SUSY have many scenarios for other sources of CP violation Many challenges • small change in frequency • systematics associated with E reversal • leakage currents, orbiting spin in magnetic field gradient • materials: n trapping, n activation, polarized 3He compatibility, non-magnetic, non-superconducting, . . .