Precision Muon Capture at PSI

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Precision Muon Capture at PSI Peter Kammel Department of Physics and Center for Experimental Nuclear Physics and Astrophysics, University of Washington http://www.npl.washington.edu/muon/ MuCap MuSun Chiral Dynamics, Aug 2012 MuLan 1 Outline µ e ν ν Strength of Weak Interaction MuLan G F µ + p n + ν Basic QCD Symmetries MuCap g P µ + d n + n + ν Weak few nucleon reactions µ + 3 He t + ν and astrophysics MuSun 2 1

Muon Lifetime Fundamental electro-weak couplings G F α M Z 9 ppm 0.6 ppm 0.37 ppb 23 ppm MuLan Collaboration PRL 106, 041803 (2011) Implicit to all EW precision physics Uniquely defined by muon decay q Extraction of G F from τ µ : Recent two-loop calc. reduced error from 15 to ~0.2 ppm QED MuLan Final Results τ(r06) = 2 196 979.9 ± 2.5 ± 0.9 ps τ(r07) = 2 196 981.2 ± 3.7 ± 0.9 ps τ(combined) = 2 196 980.3 ± 2.2 ps (1.0 ppm) Δτ(R07 R06) = 1.3 ps The most precise particle or nuclear or atomic lifetime ever measured New G F G F (MuLan) = 1.166 378 8(7) x 10-5 GeV -2 (0.6 ppm) 2

Outline µ e ν ν Strength of Weak Interaction MuLan G F µ + p n + ν Basic QCD Symmetries MuCap g P µ + d n + n + ν Weak few nucleon reactions µ + 3 He t + ν and astrophysics MuSun 5 Muon Capture on the Proton Ø Historical: V-A and µ-e Universality µ - + p ν µ + n charged current Ø Today: EW current key probe for Understanding hadrons from fundamental QCD Symmetries of Standard Model Basic astrophysics reactions Chiral Effective Theories Lattice Calculations 6 3

PRD 71 21302 (2005) 8/9/12 Capture Rate Λ S and Form Factors Ø Muon Capture µ - + p ν µ + n rate Λ S at q 2 = - 0.88 m µ 2 Ø Form factors Lorentz, T invariance + second class currents suppressed by isospin symm. All form factors precisely known from SM symmetries and data. apart from g P = 8.3 ± 50% g V, g M from CVC, e scattering g A from neutron beta decay 0.45 % 9 % pre MuCap 7 PDG 2008 g A (0)= 1.2695±0.0029 PDG 2012 g A (0)= 1.2701 ±0.0025 Future? (Marciano PDG12) g A (0)= 1.275 Axial Vector g 2007 picture: A Lifetime and Correlations combine in a confused picture for the physics of g A or unitarity g A important J. Nico, 2007 X Not consistent 2012 Picture: Lifetime and Correlations in better shape, but lifetime and Asymmetry still in tension X BBN He A = 0.1196(5) [PERKEO II 2007] Axial Mass Λ A = 1 GeV νp, π electro production 1.35 nuclear targets J. Nico, 2012 8 4

Pseudoscalar Form Factor g P History PCAC Spontaneous broken symmetries in subatomic physics, Nambu. Nobel 2008 State-of-the-art Precision prediction of ChPT Foundations for mass generation chiral perturbation theory of QCD g P = (8.74 ± 0.23) (0.48 ± 0.02) = 8.26 ± 0.23 leading order one loop two- loop <1% g P experimentally least known nucleon FF solid QCD prediction (2-3% level) basic test of QCD symmetries recent lattice results Kammel & Kubodera, Annu. Rev. Nucl. Part. Sci. 2010.60:327 Gorringe, Fearing, Rev. Mod. Physics 76 (2004) 31 Bernard et al., Nucl. Part. Phys. 28 (2002), R1 9 45 years of effort to determine g P OMC RMC µ - + p n + ν + γ Kammel&Kubodera Radiative muon capture in hydrogen was carried out only recently with the result that the derived g P was almost 50% too high. If this result is correct, it would be a sign of new physics... Lincoln Wolfenstein (Ann.ReNucl.Part.Sci. 2003) 10 5

Rich Muon Atomic Physics Makes Interpretation Difficult Λ T = 12 s -1 Λ ortho =506 s -1 Λ para =200 s-1 Λ S = 710 s -1 Strong sensitivity to hydrogen density φ (rel. to LH 2 ) In LH 2 fast ppµ formation, but λ op largely unknown 11 Precise Theory vs. Controversial Experiments 20 g P 17.5 15 12.5 10 7.5 RMC @ TRIUMF ChPT 5 OMC@ Saclay 2.5 exp theory TRIUMF 2006 20 40 60 80 100 120 λ OP (ms - 1 ) no overlap theory & OMC & RMC large uncertainty in λ OP g P ± 50%? 12 6

Precision technique MuCap Strategy Clear Interpretation Clean stops in H 2 Impurities < 10 ppb Protium D/H < 10 ppb Muon-On-Request All requirements simultaneously 13 MuCap Strategy Precision technique Clear Interpretation µp nν rare, only 0.16% of µ eνν neutron detection not precise enough Lifetime method Clean stops in H 2 Impurities < 10 ppb Protium D/H < 10 ppb Muon-On-Request All requirements simultaneously Λ S = 1/τ µ- - 1/τ µ+ measure τ µ to 10ppm 14 7

MuCap Technique e t µ MuCap Strategy Precision technique At 1% LH 2 density mostly pµ atoms during muon lifetime Clear Interpretation Clean stops in H 2 Impurities < 10 ppb Protium D/H < 10 ppb All requirements simultaneously 16 8

8/9/12 MuCap Strategy Precision technique Clear Interpretation Clean stops in H2 Impurities < 10 ppb Protium D/H < 10 ppb All requirements simultaneously 17 Muons Stop in Active TPC Target to prevent muon stops in walls (Capture rate scales with ~Z4) 10 bar ultra-pure hydrogen, 1.12% LH2 2.0 kv/cm drift field ~5.4 kv on 3.5 mm anode half gap bakeable glass/ceramic materials Observed muon stopping distribution µ- e- 3D tracking w/o material in fiducial volume p E 18 9

MuCap Strategy Precision technique Clear Interpretation Clean stops in H 2 Impurities < 10 ppb CHUPS purifies the gas continuously TPC monitors impurities Impurity doping calibrates effect anodes time Protium D/H < 10 ppb Muon-On-Request All requirements simultaneously 2004: c N < 7 ppb, c H2O ~20 ppb 2006 / 2007: c N < 7 ppb, c H2O ~9-4ppb 19 Experiment at PSI πe3 beamline Kicker Muon On Request Separator Slit Quadrupoles TPC MuCap detector 20 10

Year MuCap Data Statistics [10 10 muon decays] µ- µ+ Comment 2004 0.16 0.05 published * 2006 0.55 0.16 This talk 2007 0.50 0.40 This talk Total ~1.21 ~0.61 ~60TB raw data *V.A. Andreev et al., Phys. Rev. Lett. 99, 03202 (2007) λ + known to 1 ppm from MuLan 21 Muon defined by TPC Signals digitized into pixels with three thresholds (green, blue, red) TPC side view Front face view vertical direction Fiducial volume vertical direction Fiducial volume TPC active volume muon beam direction TPC active volume transverse direction 11

Electron defined by Independent e-tracker Small, but significant interference with µ track simple, robust track reconstruction and its verification essential 23 Time Distributions are Consistent No azimuth dependence fitted λ is constant 4/6/2012 24 Run groups Data run number (~3 minutes per run) 24 12

Start and stop-time-scans consistency 4/6/2012 25 MuCap Results rates with secret offset, stat. errors only 26 13

Disappearance rate λ 27 Error budget Systematic errors Run 2006 Run 2007 λ (s - 1 ) δλ (s - 1 ) λ (s - 1 ) δλ (s - 1 ) High-Z impurities - 7.8 1.87-4.54 0.93 µp scatter - 12.4 3.22-7.20 1.25 µp diffusion - 3.1 0.1-3.0 0.1 Fiducial volume cut 3.0 3.0 Entrance counter inefficiencies 0.5 0.5 Choice of electron detector def. 1.8 1.8 Total - 23.3 5.1-14.7 3.9 28 14

Determination of Λ S molecular formation MuCap: precision measurement MuLan bound state effect Λ S (MuCap prelim) = 714.9 ± 5.4 stat ± 5.0 syst s -1 Λ S (theory) = 711.5 ± 4.6 s -1 Czarnecki, Marciano, Sirlin, RC=2.8% 711.4 Pheno CMS 706.6 HBChPT BHM 714.5 HBChPT AMK 29 g P : Precise and unambiguous MuCap result solves long-standing puzzle g P (MuCap prelim) = 8.04 ± 0.56 g P (theory) = 8.26 ± 0.23 30 15

Outline µ e ν ν Strength of Weak Interaction MuLan G F µ + p n + ν Basic QCD Symmetries MuCap g P Laura Marcucci, Tuesday µ + d n + n + ν Weak few nucleon reactions µ + 3 He t + ν and astrophysics MuSun 31 Motivation µ - + d ν + n + n measure rate Λ d in µd( ) atom to <1.5% simplest nuclear weak interaction process with precise th. & exp. nucleon FF (g P ) from MuCap rigorous QCD calculations with effective field theory close relation to neutrino/astrophysics solar fusion reaction pp de + ν νd scattering in SNO exp. model independent connection to µd by single Low Energy Constant (LEC) µ + d determines this LEC in clean 2 N system à Calibrates the Sun reduce LEC uncertainty from 100% to ~20% 32 16

Precise Experiment Needed MuSun proposed σ=1.2% Cargnelli 1989 Bardin 1986 Bertin 1973 Wang 1965 Adam 2012, full EFT Marcucci 2012, full EFT Marcucci 2011, heft Ricci 2009, SNPA, heft Chen 2005, pionless EFT Ando 2002, heft Adam 1990, SNPA Doi 1990, SNPA Tatara 1990, SNPA 360 380 400 420 440 460 480 500-1 (s ) Λ d exp. theory 33 Muon Physics and Interpretation Precision technique complex, can one extract EW parameters? Clear Interpretation Clean stops in D 2 Impurities < 1ppb Optimal conditions H/D < 100 ppb Muon-Catalyzed Fusion Breunlich, Kammel, Cohen, Leon Ann. Rev. Nucl. Part. Science, 39: 311-356 (1989) 34 17

8/9/12 Precise Experiment Possible? Precision technique Active muon target Clear Interpretation Clean stops in D2 Impurities < 1ppb H/D < 100 ppb 35 MuSun Detector System Electron Tracker Liquid Ne Circulation CryoTPC TPC Digitizer Electronics Impurity filtering 36 18

Fusions in TPC run2011, prelim µsc µ 3 He robust muon tracking algorithm at 10-5 level required! µsc t+p 2 µs 37 Analysis analysis run 2011 data 4.8 x 10 9 good µ- stop 4 x 10 8 µ+ stop events first physics publication study detector upgrades Status and Plans Upgrades detector upgrades 2012 cryo preamp TPC optimization improved purity and monitoring New beam line at PSI extended πe1 old πe1 Commissioning run 2012 Final runs 2013-14 38 19

Summary: Evolution of Precision = -0.88m 2 µ ) 2 (q P g 25 20 15 = 8.04 ± 0.56 (µp) = 8.2 ± 0.7 (µ 3 He exp+mkrsv theo) complete ) -1 (s Λ d 480 460 440 420 Theory in progress Experiment 10 400 5 ChPT 380 0 Hildebrand 1962 Hildebrand 1962 Bleser 1962 Bertolini 1962 Bardin 1981 Bystritskii 1974 Alberigi-Quaranta 1969 Rothberg 1963 MuCap 2012 MuCap 2007 Wright 1998 360 MuSun Future Cargnelli 1989 Bardin 1986 Bertin 1973 Wang 1965 future Muon Lifetime (µs) 2.19715 2.19710 2.19705 Adam 2012 Marcucci 2012 Marcucci 2011 Ricci 2009, SNPA Ando 2002 Adam 1990 Doi 1990 Tatara 1990 complete 2.19700 2.19695 Exp World Average Bardin 1984 Webber R06 Barczyk 2008 Webber R07 Balandin 1974 Giovanetti 1984 Chitwood 2007 39 Collaborations MuLan Boston University, USA University of Illinois at Urbana-Champaign, Urbana, USA James Madison University, Harrisonburg, USA University of Kentucky, Lexington, USA KVI, University of Groningen, Groningen, The Netherlands Paul Scherrer Institute (PSI), Villigen, Switzerland Regis University, Denver, USA University of Washington, Seattle, USA MuCap/MuSun Petersburg Nuclear Physics Institute (PNPI), Gatchina, Russia Paul Scherrer Institute (PSI), Villigen, Switzerland University of California, Berkeley (UCB and LBNL), USA University of Illinois at Urbana-Champaign, Urbana, USA University of Washington, Seattle, USA Université Catholique de Louvain, Belgium University of Kentucky, Lexington, USA Boston University, USA Regis University, Denver, USA University of South Carolina, USA Supported by NSF, DOE, Teragrid, PSI and Russian Academy Science 20