precision tests
DESCRIPTION
Precision Tests. Weak Decays Neutral Current Processes Muon g-2. Muons. g m -2 m A -> eA. Nuclei & Charged Leptons. PV Electron Scattering. Q-Weak 12 GeV Moller PV DIS. Weak Decays. n decay correlations nuclear b decay pion decays muon decays. VI. Weak Decays. - PowerPoint PPT PresentationTRANSCRIPT
Precision Tests
• Weak Decays
• Neutral Current Processes
• Muon g-2
Nuclei & Charged Leptons
PV Electron ScatteringQuickTime™ and a
TIFF (Uncompressed) decompressorare needed to see this picture.
Weak DecaysQuickTime™ and a
TIFF (Uncompressed) decompressorare needed to see this picture.• n decay correlations
• nuclear decay
• pion decays
• muon decays
• Q-Weak • 12 GeV Moller• PV DIS
Muons
QuickTime™ and aTIFF (Uncompressed) decompressor
are needed to see this picture.
• g-2
• A->eA
VI. Weak Decays
• -decay: CKM unitarity & correlations
• Pion leptonic decay
• Muon decay
Weak decays: SM old & new
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n → p e− ν e
A(Z,N) → A(Z −1,N +1) e+ ν e
π + → π 0 e+ ν e
-decay €
d → u e− ν e
s → u e− ν e
b → u e− ν e
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GFβ
GFμ
= Vud 1+ Δrβ − Δrμ( )
SM & New Physics
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−
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ν
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˜ χ 0
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˜ μ −
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˜ ν μ
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ν e
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W −
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e−
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ν
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− €
ν e
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e−
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˜ χ 0
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˜ χ −
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˜ ν μ
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˜ ν e
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+L
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+LSUSY€
δOSUSY
OSM<10−3
Weak decays: 2004
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d → u e− ν e
s → u e− ν e
b → u e− ν e
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u c t( )
Vud Vus Vub
Vcd Vcs Vcb
Vtd Vts Vtb
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⎜ ⎜ ⎜
⎞
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⎟ ⎟ ⎟
d
s
b
⎛
⎝
⎜ ⎜ ⎜
⎞
⎠
⎟ ⎟ ⎟
Vud
2+Vus
2+Vub
2= 1
0.9968±0.0014
SM
Expt
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0.9487 ± 0.0010
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0.0482 ± 0.0008
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0.00001± 0.000007
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0.9482 ± 0.0005
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0.0486 ± 0.0012
0.0516 ± 0.0013€
0.9968 ± 0.0014
0.9998 ± 0.0015
- 2008
Weak decays
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n → p e− ν e
A(Z,N) → A(Z −1,N +1) e+ ν e
π + → π 0 e+ ν e
-decay
€
GFβ
GFμ
= Vud 1+ Δrβ − Δrμ( )
€
Ft = ft 1+ ′ δ R + δNS( ) 1−δC( )
= K 2(GFβ )2
0+ -> 0+ “Superallowed”
Nuclear structure-dependent corrections
Weak decays
€
n → p e− ν e
A(Z,N) → A(Z −1,N +1) e+ ν e
π + → π 0 e+ ν e
-decay
€
GFβ
GFμ
= Vud 1+ Δrβ − Δrμ( )
Liquid N2
Be reflector
Solid D2
77 K poly
Tungsten Target
58Ni coated stainless guide
UCN Detector
Flapper valve
LHe
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dW ∝1 + ar p e ⋅
r p ν
Ee Eν
+ Ar σ n ⋅
r p eEe
+ L
Ultra cold neutrons
LANSCE: UCN “A” NIST, ILL: n Future SNS: n, a,b,A,… Future LANSCE: n
Lifetime & correlations
Weak decays
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n → p e− ν e
A(Z,N) → A(Z −1,N +1) e+ ν e
π + → π 0 e+ ν e
-decay
€
GFβ
GFμ
= Vud 1+ Δrβ − Δrμ( )
€
Γ π + → π 0e+ν e( ) Γ π + → μ +ν μ( ) ~ 1×10−8
PSI: “Pi-Beta”
Weak decays
€
n → p e− ν e
A(Z,N) → A(Z −1,N +1) e+ ν e
π + → π 0 e+ ν e
-decay
€
GFβ
GFμ
= Vud 1+ Δrβ − Δrμ( )
γ
W
ν e p
e− n
€
MWγ =GF
2
ˆ α
8πln
MZ2
Λ2
⎛
⎝ ⎜
⎞
⎠ ⎟+ CγW (Λ)
⎡
⎣ ⎢
⎤
⎦ ⎥
SM theory input
Recent Marciano & Sirlin
Weak decays
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u c t( )
Vud Vus Vub
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Vtd Vts Vtb
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d
s
b
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⎜ ⎜ ⎜
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⎟ ⎟ ⎟
€
K + → π 0 e+ ν e
kaon decay
€
GFK
GFμ
= Vus 1+ ΔrK − Δrμ( )
New physics: too small
€
d → u e− ν e
s → u e− ν e
b → u e− ν e
Value of Vus important Situation Unsettled€
0.9998 ± 0.0015
0.9968 ± 0.0014
CKM Summary: PDG04CKM Summary: PDG04
UC
NA
CKM Summary: New VCKM Summary: New Vus us & & nn ? ?
New n
UC
NA
New 0+ info
Vus & Vud theory ? Perkeo 06
SUSY Radiative Corrections
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−
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ν
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ν e
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e−
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W −
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W −
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˜ e −
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˜ ν e
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−
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ν
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˜ χ 0
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˜ μ −
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˜ ν μ
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ν e
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W −
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e−
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−
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ν e
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˜ μ −
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W −
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˜ χ +
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˜ χ 0
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e−
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ν
Propagator
Box
Vertex & External leg
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ν
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− €
ν e
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e−
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˜ χ 0
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˜ χ −
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˜ ν μ
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˜ ν e€
+
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+L
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+L
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+L
Kurylov & RM
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+
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−
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ν
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ν e
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e−
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W −
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W −
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˜ χ −
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˜ χ 0
SUSY: R Parity-Violation
μ−
ν e e−
νμ
˜ e Rk
12k 12k
e−
d e−
d
˜ q Lj
1j1
1j1
L=1 L=1
Δ12k =λ12k
2
4 2GF M˜ e Rk
2 Δ1j1/ =
λiji/ 2
4 2GFM˜ q Lj
2
Weak decays: SUSY
€
u c t( )
Vud Vus Vub
Vcd Vcs Vcb
Vtd Vts Vtb
⎛
⎝
⎜ ⎜ ⎜
⎞
⎠
⎟ ⎟ ⎟
d
s
b
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⎞
⎠
⎟ ⎟ ⎟
€
n → p e− ν e
A(Z,N) → A(Z −1,N +1) e+ ν e
π + → π 0 e+ ν e
-decay €
d → u e− ν e
s → u e− ν e
b → u e− ν e
€
GFβ
GFμ
= Vud 1+ Δrβ − Δrμ( )
New physics
€
−
€
ν
€
˜ χ 0
€
˜ μ −
€
˜ ν μ
€
ν e
€
W −
€
e−
€
ν
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− €
ν e
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e−
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˜ χ 0
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˜ χ −
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˜ ν μ
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˜ ν e
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+L
€
+LSUSY€
δOSUSY
OSM~ 0.001
Flavor-blind SUSY-breaking
CKM, (g-2) MW, Mt ,…
M˜ μ L >M˜ q LKurylov, R-M
€
+L
€
+LRPV
μ−
ν e e−
νμ
˜ e Rk
12k 12k
e−
d e−
d
˜ q Lj
1j1
1j1
• No SUSY DM: LSP unstable
• Neutrinos are Majorana
No long-lived LSP or SUSY DM
MW
R Parity Violation
CKM unitarity ?
APV
πl2
Kurylov, R-M, Su
Weak decays & SUSY
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u c t( )
Vud Vus Vub
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⎜ ⎜ ⎜
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s
b
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⎞
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⎟ ⎟ ⎟
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d → u e− ν e
s → u e− ν e
b → u e− ν e
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−
€
ν
€
˜ χ 0
€
˜ μ −
€
˜ ν μ
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ν e
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W −
€
e−
€
u
€
d€
ν e
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e−
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˜ χ 0
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˜ χ −€
˜ u
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˜ ν e
€
+L
€
+LSUSY€
δOSUSY
OSM<10−3
Correlations
€
dW ∝1 + ar p e ⋅
r p ν
Ee Eν
+ Ar σ n ⋅
r p eEe
+ L
Non (V-A) x (V-A) interactions: me/E
€
B me Ee( )r σ n ⋅
r p νEν
+ L
Weak decays & SUSY : Chiral Symmetry
Is sym breaking gentle for 1st & 2nd generation
sfermions ?
Gauge interactions:
symmetric
Higgs interactions: break symmetry, but gently for 1st & 2nd generations
Chiral ( ) Rotation
One solution: af ~ Yf
Triscalar interactions
Weak decays & SUSY : Correlations
Chiral symmetry breaking in SUSY
Mass suppressed symmetry breaking: “alignment” models
Large symmetry breaking: New SUSY models
Future exp’t ?
Profumo, R-M, Tulin
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u
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d€
ν e
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e−
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˜ χ 0
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˜ χ −€
˜ u
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˜ ν e
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ν
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rJ
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rJ ⋅
r p ν Collider signature:
SUSY but only SM-like Higgs
Is SB / mf as in SM ?
Pion leptonic decay & SUSY
SM radiative corrections also have QCD effects€
π
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γ
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ν
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l
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+L
SM strong interaction effects: parameterized by Fπ Hard to compute
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π
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ν
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l
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u
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d
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ν l
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l −
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˜ χ 0
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˜ χ −€
˜ u
€
˜ ν l
To probe effects of new physics in NEW we need to contend with QCD
Pion leptonic decay & SUSY
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π
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γ
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ν
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l
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+LLeading QCD uncertainty:
Marciano & Sirlin
Probing Slepton Universality
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u
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d€
ν e
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e−
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˜ χ 0
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˜ χ −€
˜ u
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˜ ν e€
u
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d€
ν
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−
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˜ χ 0
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˜ χ −€
˜ u
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˜ ν μvs
New TRIUMF, PSI
QuickTime™ and a decompressor
are needed to see this picture.
Tulin, Su, R-M
Min (GeV)
Can we do better on ?
Cirigliano & Rosell
QuickTime™ and a decompressor
are needed to see this picture.
Cirigliano & Rosell
Min (GeV)
VII. Neutral Currents
• Parity-violating electron scattering (PVES)
• Muon g-2
Nuclei & Charged Leptons: PV
PV Electron ScatteringQuickTime™ and a
TIFF (Uncompressed) decompressorare needed to see this picture.
Weak DecaysQuickTime™ and a
TIFF (Uncompressed) decompressorare needed to see this picture.• n decay correlations
• nuclear decay
• pion decays
• muon decays
• Q-Weak • 12 GeV Moller• PV DIS
Muons
QuickTime™ and aTIFF (Uncompressed) decompressor
are needed to see this picture.
• g-2
• A->eA
Lepton Scattering & New Symmetries
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re −€
e−
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e−, p€
e−, p
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Z 0
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re −€
e−
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e−, p€
e−, p
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γ
Parity-Violating electron scattering
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APV =N↑↑ − N↑↓
N↑↑ + N↑↓
=GFQ2
4 2παQW + F(Q2,θ)[ ]
“Weak Charge” ~ 0.1 in SM
Enhanced transparency to new physics
Small QCD uncertainties (Marciano & Sirlin; Erler & R-M)
QCD effects (s-quarks): measured (MIT-Bates, Mainz, JLab)
QW and SUSY Radiative Corrections
Tree Level
€
QWf = gV
f gAe
Radiative Corrections
QWf =ρPV (2I3
f −4QfκPV )+λ fsin2 θW
Flavor-independent
Normalization Scale-dependent effective weak mixing
Flavor-dependent
Constrained by Z-pole precision observables
Weak Charge & Weak Mixing
€
sin2 θW =g(μ)Y
2
g(μ)2 + g(μ)Y2
SU(2)LU(1)Y
Weak mixing depends on scale
Weak Mixing in the Standard Model
Scale-dependence of Weak Mixing
JLab Future
SLAC Moller
Parity-violating electron scattering
Z0 pole tension
Nuclei & Charged Leptons: Theory
PV Electron ScatteringQuickTime™ and a
TIFF (Uncompressed) decompressorare needed to see this picture.
• Q-Weak • 12 GeV Moller• PV DIS
Muons
QuickTime™ and aTIFF (Uncompressed) decompressor
are needed to see this picture.
• g-2
• A->eA
Essential Role for Theory
• Precise SM predictions (QCD)
• Sensitivity to new physics & complementarity w/ LHC
• Substantially reduced QCD uncertainty in sin2W running
• QCD uncertainties in ep box graphs quantified
• Comprehensive analysis of new physics effects
e p e p e p
W
W
Z
Z
Z
γ
Weak DecaysQuickTime™ and a
TIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressor
are needed to see this picture.
• n decay correlations
• nuclear decay
• pion decays
• muon decays
€
˜ χ 0
€
˜ e − €
˜ χ −
€
˜ χ −
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+
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+L
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e−€
e−
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e−
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e−
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f€
f
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f€
f
€
Z 0
€
Z 0
€
˜ e −
€
˜ ν e
SUSY Radiative Corrections
Propagator
Box
Vertex & External leg
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˜ e −
€
˜ e +
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+L
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+
€
e−
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f€
Z 0
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γ
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˜ χ −
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˜ χ +€
e−
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e−€
e−
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f
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f€
f
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γ
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Z 0
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˜ χ 0
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˜ e − €
˜ χ −
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˜ χ −
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+
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+L
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e−€
e−
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e−
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e−
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f€
f
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f€
f
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Z 0
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Z 0
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˜ e −
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˜ ν e
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˜ ν e
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+L
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e−€
e−
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f€
f
€
˜ f
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˜ χ
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˜ χ Kurylov, RM, Su
PVES & APV Probes of SUSY
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
δ Q
WP
, S
US
Y /
QW
P,
SM
RPV: No SUSY DM Majorana ν s
SUSY Loops
δ QWe, SUSY / QW
e, SM
g-2
12 GeV
6 GeV
E158
Q-Weak (ep)
Moller (ee)
Kurylov, RM, Su
Hyrodgen APV or isotope ratios
Global fit: MW, APV, CKM, πl2,…
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˜ e −
€
˜ e +
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+L
€
+
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e−
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f€
Z 0
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γ
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˜ χ −
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˜ χ +€
e−
€
e−€
e−
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f
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f€
f
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γ
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Z 0
Comparing AdDIS and Qw
p,e
e
p
RPV
Loops
Weak Charges & New Physics
QWP = 0.0716 QW
e = 0.0449
Experiment
SUSY Loops
E6 Z/ boson
RPV SUSY
Leptoquarks
SM SM
€
±0.0029
€
±0.0040
The Big Picture
Fifty years of PV in nuclear physics
Nuclear physics studies of νs & fundamental symmetries played an essential role in developing & confirming the Standard Model
Our role has been broadly recognized within and beyond NP
Solar νs & the neutrino revolution
The next decade presents NP with a historic opportunity to build on this legacy in developing the “new Standard Model”
The value of our contribution will be broadly recognized outside the field
References
• “ Low Energy Precision Test of Supersymmetry”, M.J. Ramsey-Musolf & S. Su, Phys.Rept.456:188, 2008, e-
Print: hep-ph/0612057Model”
• “Low energy tests of the weak interaction”, J. Erler & M. J. Ramsey-Musolf , Prog.Part.Nucl.Phys.54:351 442, 2005, e-Print: hep-ph/0404291
Plus many references therein…
Precision Probes of New Symmetries
Beyond the SM SM symmetry (broken)
Electroweak symmetry breaking: Higgs ?
New Symmetries
1. Origin of Matter2. Unification & gravity
3. Weak scale stability4. Neutrinos
€
−
€
ν
€
˜ χ 0
€
˜ μ −
€
˜ ν μ
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ν e
€
W −
€
e−
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressor
are needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressor
are needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
?
LHC: energy frontier
Low-energy: precision frontier
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rE
€
rd = d
r S
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e−
€
e−
€
νM
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W −
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W −
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u
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u
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d
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d
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e−
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e−, p€
e−, p
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Z 0
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e−
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e−, p€
e−, p
€
γ
€
ν
€
rJ
€
rJ ⋅
r p ν
Thank you !
• Precision studies and symmetry tests with neutrons are poised to discovery key ingredients of the new Standard Model during the next decade
• Physics “reach” complements and can even exceed that of colliders: dn~10-28 e-cm ; δO/OSM ~ 10-4
• Substantial experimental and theoretical progress has set the foundation for this era of discovery
• The precision frontier is richly interdisciplinary: nuclear, particle, hadronic, atomic, cosmology
To the organizers, staff, and participants for a lively and productive school
QuickTime™ and a decompressor
are needed to see this picture.
QuickTime™ and a decompressor
are needed to see this picture.QuickTime™ and a
decompressorare needed to see this picture.
QuickTime™ and a decompressor
are needed to see this picture.
+ …….
Back Matter
• Weak Decays
• Neutral Current Processes
• Muon g-2
Deep Inelastic PV: Beyond the Parton Model & SM
12 GeV 6 GeV
e-
N X
e-
Z* γ*
d(x)/u(x): large x Electroweak test: e-q couplings & sin2W
Higher Twist: qq and qqg correlations
Charge sym in pdfs
€
up (x) = dn (x)?
d p (x) = un (x)?
Nuclei & Charged Leptons: Theory
Weak DecaysQuickTime™ and a
TIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressor
are needed to see this picture.
• n decay correlations
• nuclear decay
• pion decays
• muon decays
PV Electron ScatteringQuickTime™ and a
TIFF (Uncompressed) decompressorare needed to see this picture.
• Q-Weak • 12 GeV Moller• PV DIS
Muons
QuickTime™ and aTIFF (Uncompressed) decompressor
are needed to see this picture.
• g-2
• A!eA
Essential Role for Theory
• Precise SM predictions (QCD)
• Sensitivity to new physics & complementarity w/ LHC
γ
W
ν e p
e− n
€
π
€
γ
€
ν
€
l
€
+L
Reduced QCD error: Marciano & Sirlin
Reduced QCD error: Cirigliano & Roselle
SUSY effects in weak decays
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ν
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˜ μ −
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˜ ν μ
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ν e
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mν implications for NP in weak decays
Vud & CKM Unitarity Ongoing theory for weak decays:
• Further reductions in QCD errors?
• Impact on Extra Dim scenarios ?
• Implications of LHC results ?
€
dW ∝1 + ar p e ⋅
r p ν
Ee Eν
+ Ar σ n ⋅
r p eE e
+ L
€
B me Ee( )r σ n ⋅
r p νEν
+ L
mν
Neutrino correlation
SUSY: Observable E-dependence implies super heavy non-SM Higgs
€
ν
€
rJ
€
rJ ⋅
r p ν
RM et al
Pion leptonic decays
SUSY: Observable deviation could imply large slepton mass splittings
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d€
ν e
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e−
€
˜ χ 0
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˜ χ −€
˜ u
€
˜ ν e
RM et al
Muon Decay: Michel Parameters
3/4
0
3/4
1
TWIST (TRIUMF)
Correlations in Muon Decay & mν
Model Independent Analysis
constrained by mν
Model Dependent Analysis
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−
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ν
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ν e
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W1,2−
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e−
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MWR (GeV )
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Pμξ
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Pμξδ
ρ€
TWIST ρ
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TWIST Pμξ
First row CKM
2005 Global fit: Gagliardi et al.
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Z,W
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H 0
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ν
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ν
Prezeau, Kurylov 05 Erwin, Kile, Peng, R-M 06 mν
MPs
Also -decay, Higgs production
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€
e+€
ν
Constraints on non-SM Higgs production at ILC:
mν , and decay corr
Muon Anomalous Magnetic Moment
γ
QED
Z
Weak Had LbL
Had VP
π
SUSY Loops
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
SM Loops
Future goal
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
~ 3.4 !
Nuclei & Charged Leptons: Theory III
Weak DecaysQuickTime™ and a
TIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressor
are needed to see this picture.
• n decay correlations
• nuclear decay
• pion decays
• muon decays
PV Electron ScatteringQuickTime™ and a
TIFF (Uncompressed) decompressorare needed to see this picture.
• Q-Weak • 12 GeV Moller• PV DIS
Muons
QuickTime™ and aTIFF (Uncompressed) decompressor
are needed to see this picture.
• g-2
• A!eA
Essential Role for Theory
• Precise SM predictions (QCD)
• Sensitivity to new physics & complementarity w/ LHC
γ
QED
Z
Weak
Had LbL
Had VP
π
SUSY Loops: Sign of Higgsino mass
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Ongoing theory for g-2:
• Further reductions in had LBL uncertainty?
• Impact on Extra Dim scenarios ?
Had VP: Disp Rel & e+e-
Lattice QCD (T Blum)
Had LBL: ChPT Hadronic Models Lattice QCD?