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Precision Tests Weak Decays Neutral Current Processes Muon g-2

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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 Presentation

TRANSCRIPT

Page 1: Precision Tests

Precision Tests

• Weak Decays

• Neutral Current Processes

• Muon g-2

Page 2: Precision Tests

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

Page 3: Precision Tests

VI. Weak Decays

• -decay: CKM unitarity & correlations

• Pion leptonic decay

• Muon decay

Page 4: Precision Tests

Weak decays: SM old & new

u c t( )

Vud Vus Vub

Vcd Vcs Vcb

Vtd Vts Vtb

⎜ ⎜ ⎜

⎟ ⎟ ⎟

d

s

b

⎜ ⎜ ⎜

⎟ ⎟ ⎟

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( )

SM & New Physics

ν

˜ χ 0

˜ μ −

˜ ν μ

ν e

W −

e−

ν

− €

ν e

e−

˜ χ 0

˜ χ −

˜ ν μ

˜ ν e

+L

+LSUSY€

δOSUSY

OSM<10−3

Page 5: Precision Tests

Weak decays: 2004

d → u e− ν e

s → u e− ν e

b → u e− ν e

u c t( )

Vud Vus Vub

Vcd Vcs Vcb

Vtd Vts Vtb

⎜ ⎜ ⎜

⎟ ⎟ ⎟

d

s

b

⎜ ⎜ ⎜

⎟ ⎟ ⎟

Vud

2+Vus

2+Vub

2= 1

0.9968±0.0014

SM

Expt

0.9487 ± 0.0010

0.0482 ± 0.0008

0.00001± 0.000007

0.9482 ± 0.0005

0.0486 ± 0.0012

0.0516 ± 0.0013€

0.9968 ± 0.0014

0.9998 ± 0.0015

- 2008

Page 6: Precision Tests

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( )

Ft = ft 1+ ′ δ R + δNS( ) 1−δC( )

= K 2(GFβ )2

0+ -> 0+ “Superallowed”

Nuclear structure-dependent corrections

Page 7: Precision Tests

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

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

Page 8: Precision Tests

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 π + → π 0e+ν e( ) Γ π + → μ +ν μ( ) ~ 1×10−8

PSI: “Pi-Beta”

Page 9: Precision Tests

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

Page 10: Precision Tests

Weak decays

u c t( )

Vud Vus Vub

Vcd Vcs Vcb

Vtd Vts Vtb

⎜ ⎜ ⎜

⎟ ⎟ ⎟

d

s

b

⎜ ⎜ ⎜

⎟ ⎟ ⎟

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

Page 11: Precision Tests

CKM Summary: PDG04CKM Summary: PDG04

UC

NA

Page 12: Precision Tests

CKM Summary: New VCKM Summary: New Vus us & & nn ? ?

New n

UC

NA

New 0+ info

Vus & Vud theory ? Perkeo 06

Page 13: Precision Tests

SUSY Radiative Corrections

ν

ν e

e−

W −

W −

˜ e −

˜ ν e

ν

˜ χ 0

˜ μ −

˜ ν μ

ν e

W −

e−

ν e

˜ μ −

W −

˜ χ +

˜ χ 0

e−

ν

Propagator

Box

Vertex & External leg

ν

− €

ν e

e−

˜ χ 0

˜ χ −

˜ ν μ

˜ ν e€

+

+L

+L

+L

Kurylov & RM

+

ν

ν e

e−

W −

W −

˜ χ −

˜ χ 0

Page 14: Precision Tests

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

Page 15: Precision Tests

Weak decays: SUSY

u c t( )

Vud Vus Vub

Vcd Vcs Vcb

Vtd Vts Vtb

⎜ ⎜ ⎜

⎟ ⎟ ⎟

d

s

b

⎜ ⎜ ⎜

⎟ ⎟ ⎟

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

− €

ν e

e−

˜ χ 0

˜ χ −

˜ ν μ

˜ ν e

+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

Page 16: Precision Tests

Weak decays & SUSY

u c t( )

Vud Vus Vub

Vcd Vcs Vcb

Vtd Vts Vtb

⎜ ⎜ ⎜

⎟ ⎟ ⎟

d

s

b

⎜ ⎜ ⎜

⎟ ⎟ ⎟

d → u e− ν e

s → u e− ν e

b → u e− ν e

ν

˜ χ 0

˜ μ −

˜ ν μ

ν e

W −

e−

u

d€

ν e

e−

˜ χ 0

˜ χ −€

˜ u

˜ 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

Page 17: Precision Tests

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

Page 18: Precision Tests

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

u

d€

ν e

e−

˜ χ 0

˜ χ −€

˜ u

˜ ν e

ν

rJ

rJ ⋅

r p ν Collider signature:

SUSY but only SM-like Higgs

Is SB / mf as in SM ?

Page 19: Precision Tests

Pion leptonic decay & SUSY

SM radiative corrections also have QCD effects€

π

γ

ν

l

+L

SM strong interaction effects: parameterized by Fπ Hard to compute

π

ν

l

u

d

ν l

l −

˜ χ 0

˜ χ −€

˜ u

˜ ν l

To probe effects of new physics in NEW we need to contend with QCD

Page 20: Precision Tests

Pion leptonic decay & SUSY

π

γ

ν

l

+LLeading QCD uncertainty:

Marciano & Sirlin

Probing Slepton Universality

u

d€

ν e

e−

˜ χ 0

˜ χ −€

˜ u

˜ ν e€

u

d€

ν

˜ χ 0

˜ χ −€

˜ u

˜ 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

Page 21: Precision Tests

QuickTime™ and a decompressor

are needed to see this picture.

Cirigliano & Rosell

Min (GeV)

Page 22: Precision Tests

VII. Neutral Currents

• Parity-violating electron scattering (PVES)

• Muon g-2

Page 23: Precision Tests

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

Page 24: Precision Tests

Lepton Scattering & New Symmetries

re −€

e−

e−, p€

e−, p

Z 0

re −€

e−

e−, p€

e−, p

γ

Parity-Violating electron scattering

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)

Page 25: Precision Tests

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

Page 26: Precision Tests

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

Page 27: Precision Tests

Weak Mixing in the Standard Model

Scale-dependence of Weak Mixing

JLab Future

SLAC Moller

Parity-violating electron scattering

Z0 pole tension

Page 28: Precision Tests

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 −

+

+L

e−€

e−

e−

e−

f€

f

f€

f

Z 0

Z 0

˜ e −

˜ ν e

Page 29: Precision Tests

SUSY Radiative Corrections

Propagator

Box

Vertex & External leg

˜ e −

˜ e +

+L

+

e−

f€

Z 0

γ

˜ χ −

˜ χ +€

e−

e−€

e−

f

f€

f

γ

Z 0

˜ χ 0

˜ e − €

˜ χ −

˜ χ −

+

+L

e−€

e−

e−

e−

f€

f

f€

f

Z 0

Z 0

˜ e −

˜ ν e

˜ ν e

+L

e−€

e−

f€

f

˜ f

˜ χ

˜ χ Kurylov, RM, Su

Page 30: Precision Tests

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,…

˜ e −

˜ e +

+L

+

e−

f€

Z 0

γ

˜ χ −

˜ χ +€

e−

e−€

e−

f

f€

f

γ

Z 0

Page 31: Precision Tests

Comparing AdDIS and Qw

p,e

e

p

RPV

Loops

Page 32: Precision Tests

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

Page 33: Precision Tests

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

Page 34: Precision Tests

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…

Page 35: Precision Tests

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

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

rE

rd = d

r S

e−

e−

νM

W −

W −

u

u

d

d

re −€

e−

e−, p€

e−, p

Z 0

re −€

e−

e−, p€

e−, p

γ

ν

rJ

rJ ⋅

r p ν

Page 36: Precision Tests

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.

+ …….

Page 37: Precision Tests

Back Matter

• Weak Decays

• Neutral Current Processes

• Muon g-2

Page 38: Precision Tests

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)?

Page 39: Precision Tests

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

ν

˜ χ 0

˜ μ −

˜ ν μ

ν e

W −

e−

u

d€

ν e

e−

˜ χ 0

˜ χ −€

˜ u

˜ ν e

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

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

u

d€

ν e

e−

˜ χ 0

˜ χ −€

˜ u

˜ ν e

RM et al

Page 40: Precision Tests

Muon Decay: Michel Parameters

3/4

0

3/4

1

TWIST (TRIUMF)

Page 41: Precision Tests

Correlations in Muon Decay & mν

Model Independent Analysis

constrained by mν

Model Dependent Analysis

ν

ν e

W1,2−

e−

MWR (GeV )

Pμξ

Pμξδ

ρ€

TWIST ρ

TWIST Pμξ

First row CKM

2005 Global fit: Gagliardi et al.

H 0

H 0

H 0

Z,W

ν

ν €

H 0

ν

ν

Prezeau, Kurylov 05 Erwin, Kile, Peng, R-M 06 mν

MPs

Also -decay, Higgs production

e−

e+€

ν

Constraints on non-SM Higgs production at ILC:

mν , and decay corr

Page 42: Precision Tests

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 !

Page 43: Precision Tests

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

QuickTime™ and aTIFF (LZW) decompressor

are needed to see this picture.

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?