Muon Capture on the ProtonFinal results from the MuCap experiment
gP
Peter WinterUniversity of Washington for the MuCap collaboration
Overview
Brief motivation for MuCap
Experimental overview
Final MuCap result
-
- + p n +
q2 = -0.88m2
Nucleon form factors
uud
dud
-
p n
- + p n +
M ~ GFVud · (1-5) · n(V-A)p
q2 = -0.88m2
Nucleon form factors
Observable: Singlet capture rate LS
Nucleon form factors
V = gV(q2)
+ i gM(q2) q/2MN
M ~ GFVud · (1-5) · n(V-A)p
A = gA(q2) 5
+ gP(q2) q/m5
Contributes 0.45% uncertainty to LStheory
dgP
gP
dLS
LS
1.0% 6.1%
• ChPT based on the spontaneous symmetry breaking
• solid QCD prediction via ChPT (2-3% level)
• basic test of chiral symmetries and low energy QCD
Pseudoscalar form factor gP
gP(q2) = - - gA(0)mNmrA2
2mNm¹gA(0)
q2-m¼2
1
3gP(q2) = -
2mNmgA(0)
q2-m2
PCAC pole term(Adler, Dothan, Wolfenstein)
NLO (ChPT)Bernard, Kaiser, Meissner
PR D50, 6899 (1994)
gP = 8.26 ± 0.23
p n
gNN
f
Recent review: Kammel, P. and Kubodera, K., Annu. Rev. Nucl. Part. Sci. 60 (2010), 327
How to access gP?
In principle any process directly involving axial current:
- b decay: Not sensitive since gP term
proportional to q
- n scattering difficult to measure
Muon capture most direct source for gP
Muon capture
- Ordinary muon capture (OMC): m- p n n
- Radiative muon capture (RMC): m- p n n gBR = ~10-8 for Eg>60 MeV
- m- 3He n 3H or other nuclei
Muon capture
- Ordinary muon capture (OMC): m- p n n
- Radiative muon capture (RMC): m- p n n gBR = ~10-8 for Eg>60 MeV
- m- 3He n 3H or other nuclei
Methods to measure OMC rate
Direct method:- Measure outgoing neutrons- Typical experiments ~10% precision in LS
Lifetime method:
LS l- - l+
LS = 0.15% l-!
l+ known to 1 ppm!
D.B. Chitwood et al., Phys. Rev. Lett. 99, 03201 (2007)
D. Webber et al., Phys. Rev. Lett. 106, 041803 (2011)
MuLan 2007 and 2011
GF = 1.1663818(7) x 10-5 GeV-2 (0.6 ppm)
MuCap key elements
• Lifetime method
• Low gas density
•Active gas target (TPC)
•Ultra pure gas system with in-situ monitoring
• Isotopically pure hydrogen gas
:f Hydrogen density, (LH2: f=1)
Muon kinetics
μ-
pμ↑↑
pμ↑↓
p
LT ~ 12s-1
S ~ 700s-1
f>0.01<100ns
Muon kinetics
• ppm formation depends on density f• Interpretation requires knowledge of lOF and lOP
pμ↑↓
LS ~ 700s-1
lOP
ortho (J=1)
ppμflOF
para (J=0)
ppμ
flPF
LOM ~ ¾ LS
LPM ~ ¼ LS
pμ↑↓
LS ~ 700s-1
lOP
ortho (J=1)
ppμflOF
para (J=0)
ppμflPF
LOM ~ ¾ LS
LPM ~ ¼ LS
pμ↑↓
LS ~ 700s-1
lOP
ortho (J=1)
ppμflOF
para (J=0)
ppμ
flPF
LOM ~ ¾ LS
LPM ~ ¼ LS
Muon kinetics
Lower density dramatically decreases sensitivity to molecular complications
Previous results
20 40 60 80 100 120
2.5
5
7.5
10
12.5
15
17.5
20
lOP (ms-1)
mCap precision goal
exp theory TRIUMF 2005
m p n n @ SACLAY
m p n n g @ TRIUMFgP
• no overlap theory, OMC & RMC• large uncertainty in lOP gP ± 50%
ChPT
Requirement of clean target
pμ↑↓
LS ~ 700s-1
lOP
ortho (J=1)
ppμflOF
para (J=0)
ppμ
flPF
LOM ~ ¾ LS
LPM ~ ¼ LS
μd
cdlpd
Ld
diffusion
Deuterium removal unit
cd < 6 ppb
Requirement of clean target
pμ↑↓
LS ~ 700s-1
lOP
ortho (J=1)
ppμflOF
para (J=0)
ppμ
flPF
LOM ~ ¾ LS
LPM ~ ¼ LS
μd
cdlpd
μZ
cZLZ
Ld
LZ ~ LS Z4
diffusion
High-Z in MuCap
cN, cH2O < 10 ppb
Circulating H2 Ultra-Purification System
NIM A578 (2007), 485
• Active TPC • No materials in
fiducial volume
Requirement of clean target
pμ↑↓
LS ~ 700s-1
lOP
ortho (J=1)
ppμflOF
para (J=0)
ppμ
flPF
LOM ~ ¾ LS
LPM ~ ¼ LS
μd
cdlpd
μZ
cZLZ
Ld
LZ ~ LS Z4
diffusion
The facility: pE3 beamline at PSI
http://www.psi.ch
m
e
MuCap
t
TPC - the active target• 10 bar ultra-pure H2
• bakeable materials
• No materials in fiducial volume
TPC - the active target• 10 bar ultra-pure H2
• bakeable materials
• No materials in fiducial volume
m-p
E
e-
m-
26
A sample event
TPC active volume TPC active volume
Fiducial volume Fiducial volume
Front face view
muon beam direction
vert
ica
l dir
ect
ion
TPC side view
transverse directionve
rtic
al d
ire
ctio
n
10 times increased statistics
Year Statistics[1010 muon decays]
Comment
m- m+2004 0.16 0.05 published *2006 0.55 0.16 This talk2007 0.50 0.40 This talkTotal ~1.21 ~0.61
Remember: l+ known to 1 ppm from MuLan!
*V.A. Andreev et al., Phys. Rev. Lett. 99, 03202 (2007)
Lifetime spectra
Normalizedresiduals
Consistency checks
Consistency: Rate versus run
Data run number (~3 minutes per run)
Rate versus azimuth
Blinded measurement
500 MHz precise master clock
Analyzers add secret offsetDouble blinded analysis!
Detune clock
Hide from analyzers
Double blinded
~700 s-1
Relative unblinded
~700 s-1
rates with secret offset, stat. errors only
Unblinded
~700 s-1
Systematic corrections and errors
Systematic errors Run 2006 Run 2007 Comment
l (s-1) dl (s-1) l (s-1) dl (s-1)
High-Z impurities -7.8 1.87 -4.54 0.93
mp scatter -12.4 3.22* -7.20 1.25* * = prelim.
mp diffusion -3.1 0.1 -3.0 0.1
Fiducial volume cut 3 3
Entrance counter inefficiencies
0.5 0.5
Choice of electron detector def.
1.8* 1.8* * =prelim.
Total -23.3 5.14§ -14.74 3.88§ § = correlated
Impurity monitoring
2004 run: cN < 7 ppb, cH2O~30 ppb
2006 / 2007 runs: cN < 7 ppb, cH2O~10 ppb
Imp. Capture: m- Z (Z-1) n n
Final high-Z impurity correction
l
0
Production DataCalibration Data(oxygen added to production gas)
ExtrapolatedResult
Observed capture yield YZ
Lifetime deviation is linear with the Z>1 capture yield.
External corrections to l-
molecular formation
bound state effect
LS (MuCap prelim.*) = 714.5 ± 5.4stat ± 5.4syst s-1
LS (theory) = 711.5 ± 3.5 ± 3 s-1
* Small revision of molecular correction might affect LS < 0.5s-1 and syst. error
Precise and unambiguous MuCap resultsolves longstanding puzzle
gP(theory) = 8.26 ± 0.23
gP(MuCap prelim.) = 8.07 ± 0.5
Subset of the MuCap collaboration• Boston University• Regis University, Colorado• Université Catholique de
Louvain, Belgium• James Madison University
• Petersburg Nuclear Physics Institute, Gatchina, Russia
• Paul Scherrer Institute, CH • University of California • University of Illinois at
Urbana-Champaign• University of Washington• University of Kentucky
Supported by NSF, DOE, Teragrid, PSI and Russian Acad. Science and CRDF
Precise and unambiguous MuCap resultsolves longstanding puzzle
gP(theory) = 8.26 ± 0.23
gP(MuCap prelim.) = 8.07 ± 0.5