Muon Experiments. Masaharu Aoki, Osaka University. NP02 International workshop on Nuclear and Particle Physics at 50-GeV PS Kyoto

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1 Muon Experiments Masaharu Aoki, Osaka University NP02 International workshop on Nuclear and Particle Physics at 50-GeV PS Kyoto

2 The muon is the best place to search for new physics beyond the Standard Model. Muon LFV Forbidden Process Muon EDM Suppressed Process Muon g-2 Precise Measurement

3 n Oscillation & Muon LFV Neutrino mixing has been established. n e = n 1 cosq +n 2 sinq n m = -n 1 sinq + n 2 cosq Contribution to LFV process n m µ (m n / m W ) 4 mixing ª mixing in massive neutrinos n e µ e W B(m Æ eg ) = 3a 32p sin 2 q cos 2 q (m m 2 2 ) 2 4 m W B(mÆeg) =small! m 1 and m 2 are neutrino masses, m W is the W boson mass (= 80 GeV/ c 2 ), q is a neutrino mixing angle.

4 Muon LFV & beyond the SM W. Molzon, NP02

5 SUSY-GUT Prediction SU(5) SUSY-GUT Prediction only a few orders of magnitude below the current experimental limit. Process m N e N m e g t m g Current Limit SUSY-GUT level SO(10) SUSY-GUT Prediction enhanced by (m t /m m ) 2 (~100) from SU(5) prediction. Courtesy Hisano

6 Muon and n Oscillation n oscillation + SUSY LFV

7 Leptogenesis CPV in CKM is not enough to explain Baryon Asymmetry New sources of CPV beyond the SM n Oscillation + CPV in lepton sector leptogenesis Fukugida & Yanagida 86 AND if SUSY exists muon EDM T-violation in muon LFV

8 mixing µ e µ e SUSY with the Muon m-lfv CPV large top Yukawa coupling large top Yukawa coupling large top Yukawa coupling mixing ~ m µ e ~ m µ me B B B m-e conversion m-edm g-2 LFV diagram in Standard Model mixing ~ m µ e ~ m µ me LFV diagram in Standard Model m e g Ê Á Á Ë Ê Á Á Ë m d m s m ne m nm m b ˆ m n t ˆ Ê Á Á Ë m d 2 Ê m e e Á 2 Dm m e Á 2 Ë Dm t e m s 2 Dm e m 2 m m m 2 t m Dm m b ˆ 2 Dm e t 2 Dm m t 2 m t t ˆ

9 g-2 and muon-edm in SUSY a m (SM(DEHZ))-a m (Exp) = (33.9±10.6)x10-10 d m < e.cm

10 New Generation Muon Experiments at JKJ Muon Lepton Flavor Violation BR(m N e N) < BR(m N e N) < m-edm d m < e.cm d m < e.cm g ppm 0.05 ppm m Æ eg m Æ eee maæea K 0 L Æ me K + Æ pme

11 PRISM Phase Rotated Intense Slow Muon source intensity : m ± /sec muon kinetic energy : 20 MeV (=68 MeV/c) range = about 3 g kinetic energy spread : ± MeV ±a few 100 mg range width beam repetition : about 100Hz

12 PRISM layout Pion capture section Decay section Phase rotation section FFAG Based a ring instead of linear systems reduction of # of rf cavities reduction of rf power consumption compact not in scale

13 PRISM muon-lfv Sensitivity mu mu

14 PRISM muon-edm Sensitivity d m < e.cm NP 2 > /year P m (PRISM) > 0.3 N m (PRISM) > 10 MeV/c

15 Requirements PROTON BEAM SITE Pulsed Beam > 100 pulses / cycle < 10 nsec / pulse High Beam Power ~ 1 MW Muon-LFV 25m x 25m for PRISM 25m x 25m for PRIME Muon-EDM 25m X 25m beside PRISM ring Muon g-2 100m, 6.2 GeV/c pion beam line 25m x 25m Experimental Hall

16 Pulsed Beam Extraction Fast Extraction Scheme Y. Mori, NP02

17 KEK/JAERI Joint Project

18 Site Layout Proposal

19 Site Layout Proposal (Cont.)

20 Engagements A letter expressing the sincere interests to the muon physics at JKJ. Collaborations for the further study of the feasibility.

22 Staging Muon Factory (PRISM,g-2) Muon LFV Muon g-2 (3 GeV/c beam line) Muon Factory-II (PRISM-II,g-2) Muon EDM Muon g-2 (6 GeV/c beam line) Neutrino Factory Based on 1 MW proton beam Neutrino Factory-II Based on 4.4 MW proton beam Muon Collider Physics outcome at each stage

23 Summary The muon holds great potential for discovery of the physics beyond the Standard Model. JKJ is the unique place to push forward the muon particle physics program. We hope that the muon particle physics program, in particular the construction of fast-extracted proton beam facility, will be included in the Phase-2 plan of the JKJ. We should not miss the opportunity of the great discovery!!

Masaharu Aoki Osaka University

Muon Particle Physics Masaharu Aoki Osaka University Overview Introduction Static Properties Muon g-2 Muon EDM Dynamic Properties Lepton Flavor Violations e (MEG), e conversion (MECO,PRISM) Michel parameters