prism-ii and measurement of muon electric dipole moment based on j-parc mu-edm loi
DESCRIPTION
PRISM-II and Measurement of Muon Electric Dipole Moment based on J-PARC mu-edm LoI. NuFACT-J'03 M. Aoki Osaka University. Contents. Muon electric dipole moment Concept of the mu-edm measurement PRISM-II Muon storage ring Experimental Site Control of the systematics Summary. - PowerPoint PPT PresentationTRANSCRIPT
PRISM-II and Measurement of Muon Electric Dipole Moment
based on J-PARC mu-edm LoI
NuFACT-J'03
M. AokiOsaka University
Contents
◆Muon electric dipole moment◆Concept of the mu-edm measurement◆PRISM-II◆Muon storage ring◆Experimental Site◆Control of the systematics◆Summary
Leptogenesis
CPV in CKM is not enough to explain Baryon Asymmetry
→ New sources of CPV beyond the SM
Oscillation + CPV in lepton sector → leptogenesis
Fukugida & Yanagida ‘86
AND if SUSY exists → ・ muon EDM
・ T-violation in muon LFV
g-2 and mu-edm
◆General dipole moment, D
€
DNP = DNP e iφCP
dμNP ≅ 3×10−22 aμ
NP
3 ×10−9
⎛
⎝ ⎜
⎞
⎠ ⎟tanφCP e ⋅cm
SUSY with the Muonµeµeµeμ e µeµeµeμ e
μ~μ~
μ-LFV
μ-EDM g-2 μ-e conversion
μ → e md
ms
mb
⎛
⎝
⎜ ⎜ ⎜
⎞
⎠
⎟ ⎟ ⎟
mνe
mνμ
mν τ
⎛
⎝
⎜ ⎜ ⎜
⎞
⎠
⎟ ⎟ ⎟
m˜ d
m s
m˜ b
⎛
⎝
⎜ ⎜ ⎜
⎞
⎠
⎟ ⎟ ⎟
m e e 2 Δm e μ
2 Δm e τ
2
Δm μ e
2 m μ μ
2 Δm˜ μ τ
2
Δm τ e
2 Δm τ μ
2 m˜ τ τ
2
⎛
⎝
⎜ ⎜ ⎜
⎞
⎠
⎟ ⎟ ⎟
quark
lepton (neutrino) slepton
squarknormal particles SUSY particles
ex. K-decays, B-decays
ex. neutrino oscillation ex. charged lepton LFV
CPV
μ
µeµeµeμ e
μ~μ~
μ
g-2 and muon-EDM in SUSY
◆aμ(SM(DEHZ))-aμ(Exp) = (33.9±10.6)x10-10
◆dμ < 10-20 e.cm
Concept of the experiment
◆ Muon spin precession (相対)
第1項 外部磁場による mdm の回転 第2項 外部電場がローレンツ変換されてつく
る磁場による mdm の回転 第3項 edm の回転
◆ 第1項を第2項でキャンセルする◆ β×B による電場をつかう
€
ω =−e
maB +
1
γ 2 −1− a
⎛
⎝ ⎜
⎞
⎠ ⎟β × E
c+η
2
E
c+ β × B
⎛
⎝ ⎜
⎞
⎠ ⎟
⎧ ⎨ ⎪
⎩ ⎪
⎫ ⎬ ⎪
⎭ ⎪
a =g− 2
2, μ =
g
2
eh
2m, μ =
η
2
eh
2mc
◆キャンセル電場E=aBcβγ2 E=2 MeV/m 、 B=0.25 T
◆Edm 電場E=Bcβ B=0.25 T → E=72 MeV/m
€
ω =−e
maB +
1
γ 2 −1− a
⎛
⎝ ⎜
⎞
⎠ ⎟β × E
c+η
2
E
c+ β × B
⎛
⎝ ⎜
⎞
⎠ ⎟
⎧ ⎨ ⎪
⎩ ⎪
⎫ ⎬ ⎪
⎭ ⎪
PRISM for mu-edm
◆ Accelerate low energy muon upto 500 MeV/cInitial muon ~1011
Decay survivability ~6%Polarization ~0.2?NP2 = 108 毎秒
◆ 一方、dμ<10-24 e.cm → NP2>1016 total
PRISM
20 - 500 MeV
PRISM-2 for mu-edm
◆ Accept 500 MeV/c muons and phase rotate Initial muon ~2×1010
Decay survivability ~56%Polarization ~0.6NP2 = 109~1010 毎秒
Transverse 800 mm.mradMomentum acceptance ±30%
PRISM-2
PRISM-2 Muon decay channel
◆Curved solenoid1T, r=45cm, R=5m50deg curveTransmission
90% for 0.7 Gev/c-1.1 GeV/c pion
800 mm.mrad
350 MeV/c<pμ<650 MeV/c
PRISM-2 phase rotator
◆Use the 1st ring of Japanese NF as PRISM-2 phase rotator0.3 - 1.0 GeV
Mu-edm storage ring◆ <R>=10 m◆ B=0.25 T, E=2 MeV/m◆ 800 p mm.mrad◆ Δp/p=2%◆ Tune x=4.42, y=4.2◆ Beta function x=6.85 m, y=7.1 m
Experimental Site
Systematics
◆Non-planar (NP) systematicsE field at not in a median planeMuon orbit is not in a median plane
◆How to control?Inject muons into clockwise(CW) and count
er-clockwise(CC)Benchmark with deuteron beam
◆edm = muon edm ×β
◆Deutron NP = muon NP ×muon-γ2
E=aBcβγ2€
ω =−e
maB +
1
γ 2 −1− a
⎛
⎝ ⎜
⎞
⎠ ⎟β × E
c+η
2
E
c+ β × B
⎛
⎝ ⎜
⎞
⎠ ⎟
⎧ ⎨ ⎪
⎩ ⎪
⎫ ⎬ ⎪
⎭ ⎪
Summary
◆dμ < 10-24 e.cm → NP2 > 1016/year
◆Pμ(PRISM) > 0.3
◆Nμ(PRISM) > 1012 @500 MeV/c◆PRISM-2 ring (1st ring of the JNF)