decay correlations 2015-06-19 · september 4, 2014 testing cvc and ckm unitarity via saf-β-decay,...

73
Decay Correlations Fundamental Neutron Physics Summer School 2015 Gertrud Konrad Atominstitut, TU Wien, Austria StefanMeyerInstitut Wien, ÖAW, Austria The University of Tennesse, Knoxville 1420 June 2015 Thanks for contributions from: H. Abele, S. Baeßler, F. Wietfeldt, A. Young

Upload: others

Post on 15-Jul-2020

1 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Decay Correlations

Fundamental Neutron Physics Summer School 2015

Gertrud KonradAtominstitut, TU Wien, Austria

Stefan‐Meyer‐Institut Wien, ÖAW, Austria

The University of Tennesse, Knoxville 14‐20 June 2015

Thanks for contributions from:H. Abele, S. Baeßler, F. Wietfeldt, A. Young

Page 2: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Energy generation within the Sun

Sun eruption, August 31, 2012, NASA‘s Solar Dynamics Observatory

Page 3: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Energy generation within the Sun

2e

222

11 30 0

A

V

0.42MeV

S 6 ln 2R

ppp

p p H e

f EEE m

ftgg

Rate for initial reaction in the pp chain

Sun eruption, August 31, 2012, NASA‘s Solar Dynamics Observatory

Page 4: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Current status of

Lattice QCD PDG 2014

June 19, 2015 Decay Correlations, Summer School Knoxville G.Konrad, TU & SMI Wien, Austria

T. Bhattacharya et al., Phys. Rev. D 85, 054512 (2012)

PDG 2011

Ag

K.A. Olive et al. (PDG), Chin. Phys. C 38, 090001 (2014)

A Vg g

Page 5: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Properties of the Neutron

June 19, 2015 G. Konrad, TU & SMI Wien, Austria

• Charge: < 10-21 e neutral

• Mass: 1838.683 me 939.565 MeV/c2

• Spin: ½ ħ• Lifetime: 880.3(1.1) s

( ) . 2n p e 782 334keVQ m m m m c

+n p e e Q

Decay Correlations, Summer School Knoxville

quark mixing

coupling strength

A Vg g decay

. .

2n

ud2

4908 7 1 9 s1

1 3V

V F udg G VA. Czarnecki et al., PR D 70, 093006 (2004)

Fermi transitions

Gamow-Teller transitions A F udg G V

Page 6: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Outline

• Motivation

• Neutron beta‐decay within the Standard Model

• Searches for new physics beyond the Standard Model

• Summary and Outlook

June 19, 2015 Decay Correlations, Summer School Knoxville G.Konrad, TU & SMI Wien, Austria

Page 7: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

The Neutron Alphabet I

3

22F

22ud e e 0 e5

e e

d 1 1 3d d d 2 2

G V p E E EE

ne e e

e n e

e

ee

1 p p p p p pE E E E E E

a A B DmE

b

J.D. Jackson et al., PR 106, 517 (1957)

-1n

• 3 unknown parametersGF, Vud,

• 20 or more observables

n, a, b, A, B, C, D, …• yet unmeasured

b

A Vg g

June 19, 2015 Decay Correlations, Summer School Knoxville G.Konrad, TU & SMI Wien, Austria

Page 8: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Determination of the decay correlations

Leptons

June 19, 2015 Decay Correlations, Summer School Knoxville G.Konrad, TU & SMI Wien, Austria

ProtonNeutron

Matrixelements

Clebsch‐Gordon

Fermi

Gamow‐Teller

, JJ m

based on J. Döhner, PhD thesis, Uni Heidelberg, 1990

Page 9: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Determination of neutrino‐electron correlation a

same opposite

same opposite

N NN N

a

Fermi

Gamow‐Teller

, JJ m

a=1

a=1

a=-1

2 222 2 2 2

V F A GT A GT V A A2 2 2 2 2

V AV F A GT

1 3 2 3 2 13 1 3

g M g M g M g g gg gg M g M

a

Page 10: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Current status of the decay correlations

2

2

cos2

1 3B

0.27484C A B

2

2

1

1 3a

2

2

cos2

1 3A

2

sin2 0

1 3D

180

Observable Standard Model Status PDG 2014

Lifetime τn/τn 0.1%

Ratio of weak coupling constants / 0.2%

Neutrino‐electron correlation a/a 3.9%

Fierz interference term b = 0 yet unmeasured

Beta asymmetry A/A 0.8%

Neutrino asymmetry B/B 0.3%

Proton asymmetry C/C 1.1%

Triple correlation D = (‐1 2) × 10‐4 = (180.02±0.03)°

u

n 2 2d

4908.7 1.9 s11 3V

A Vig g e

K.A. Olive et al. (Particle Data Group), Chin. Phys. C 38, 090001 (2014)

Page 11: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Weak magnetism

• 3 unknown parametersGF, Vud,

• 20 or more observables

n, a, b, A, B, C, D, …

• yet unmeasuredb, f2

2

2

11 3

a

2

2

Re2

1 3A

ee WM

e2%

21 ,A A Eam

fE c

A Vg g

3

22 22F ud e e 0 e5

e e

d 1 1 3d d d 2 2

p E E EE

G V

ne e e

e n e

e

ee

1 p p p p p pE E E E E E

a A B DmE

b

M. Gell‐Mann, Phys. Rev. 111(1), 362 (1958)

Page 12: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Beyond the Standard Model physics

June 19, 2015 Decay Correlations, Summer School Knoxville G.Konrad, TU & SMI Wien, Austria

• Study the structure of the weak interaction value of weak magnetism form‐factor f2 predicted (CVC hypothesis) value f2 = (κp-κn)/2 ≈ 1.8529 tested only to O(10%) in A=12 system large theoretical uncertainties

• Test the Standard Model of particle physics self‐consistency of the Standard Model unitarity of the Cabibbo‐Kobayashi‐Maskawa (CKM) quark‐mixing matrix

superallowed 0+→ 0+ decays

Present best test of the Standard Model

2 2 2 4us uu bd1 1 1 6 10V VV

Kaon decays B‐decays

Page 13: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy

Page 14: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015
Page 15: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015
Page 16: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Determination of

June 19, 2015 Decay Correlations, Summer School Knoxville G.Konrad, TU & SMI Wien, Austria

A Vg g

K.A. Olive et al. (PDG), Chin. Phys. C 38, 090001 (2014)

A

A BA B

C

Page 17: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Measurement of beta asymmetry parameter A2

ene

e e

d 1 cosd d

vE c

A ne

Electron energy spectra

2same opposite

2same opposite

21 3

N NN N

A

Page 18: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

The PERKEO II experiment @ ILL

• Cold neutron beam from H113 @ ILL• Neutron beam preparation (polarization, spin flip, collimation)• Neutron beam analysis• Electron spectroscopy with PERKEO II spectrometer• Beam stop

June 19, 2015 Decay Correlations, Summer School Knoxville G.Konrad, TU & SMI Wien, Austria

H. Abele et al., Phys. Lett. B 407,212 (1997)H. Abele et al., Phys. Rev. Lett. 88, 211801 (2002)

Page 19: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

The spectrometer PERKEO II

Systematic uncertainties:• Background• Detector response: monoenergetic conversion electron sources• Edge effect• Electron backscattering: second scintillation detector• Magnetic mirror effect (adiabatic invariant )

June 19, 2015 Decay Correlations, Summer School Knoxville G.Konrad, TU & SMI Wien, Austria

e eexp,i e

e e

i i

i i

N E N EN

A EN E E

1T

e eexp e ne

1= cos2

v vE Pf PfA Ac

Ac

2p B

Page 20: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Latest PERKEO II resultsBackground subtraction

Energy calibration

Energy spectra

Asymmetry spectra

H. Abele, NIM A 611, 193 (2009)D. Mund et al., PRL 110, 172502 (2013)D. Mund, Ph.D. thesis, Uni Heidelberg, 2006

47530.11926A

Spin down

Spin up

Channel

Energy

Channe

l

Energy

Channel

Detector

Neutrons

Resulting electron signal

Background signalwith shutter up closed

Page 21: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

The successor PERKEO III @ ILL

• Large decay volume: count rate increased by ca. one order of magnitude• Pulsed neutron beam: background suppression

June 19, 2015 Decay Correlations, Summer School Knoxville G.Konrad, TU & SMI Wien, Austria

B. Märkisch et al., NIM A 611, 216 (2009)

SM polarizer

casemate

150 mT

Page 22: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Preliminary ‛results‘ from PERKEO III

Energy spectra Asymmetry spectrum

31.9 10A A

fourfoldimprovementcompared to PDG

Result still blinded

H. Mest, Ph.D. thesis, Uni Heidelberg, 2011H. Saul, Ph.D. thesis, TU Wien, in progress

TOF spectra

Page 23: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

A new approach to A: UCNA @ LANSCE

June 19, 2015 Decay Correlations, Summer School Knoxville G.Konrad, TU & SMI Wien, Austria

Page 24: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Latest results from UCNA

Energy spectrum

Asymmetry spectrum

Corrections

0.11952 110A

J. Liu et al., PRL 105, 181803 (2010)B. Plaster et al., PR C 86, 055501 (2012)M.P. Mendenhall et al., PR C 87, 032501(R) (2013)

Page 25: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Future prospects: The new facility PERC @ FRM II

high flux ϕ=2×1010 cm-2s-1 and high decay rate =1×106 m-1s-1

improved by up to 2 orders of magnitude to sub‐10‐4‐level highest phase space dΩe , dΩp densities

• Statistics:• Sensitivity:

cold neutrons

velocityselector chopper

polarizer & spin flipper, 5m

neutron guide=0.5T

D. Dubbers et al., NIM A 596, 238 (2008) G. K. et al., J. Phys.: Conf. Ser. 340, 012048 (2012)

June 19, 2015 Decay Correlations, Summer School Knoxville G.Konrad, TU & SMI Wien, Austria

Page 26: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Limitation of electron/proton divergenceCritical angleMagnetic mirror field Count rate

Beta asymmetry Figure of merit

D. Dubbers et al., NIM A 596, 238 (2008)

G. K. et al., J. Phys.: Conf. Ser. 340, 012048 (2012)

1 1

0 0

sinsin

BB

Page 27: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Future prospects: The new facility PERC @ FRM II

high flux ϕ=2×1010 cm-2s-1 and high decay rate =1×106 m-1s-1

improved by up to 2 orders of magnitude to sub‐10‐4‐level highest phase space dΩe , dΩp densities

precise cuts in dΩe , dΩp :

≤ 10‐4 (for e‐), especially ΔP/P=10-4

a, b, A, B, C, f2, …

manufacturing within 18, commissioning within 24 months beam site at FRM II/Garching (DE) under construction

1 1

0 0

sinsin

BB

• Statistics:• Sensitivity:

• Systematics:

• Versatility:• Status:

cold neutrons

velocityselector chopper

polarizer & spin flipper, 5m

neutron guide=0.5T

D. Dubbers et al., NIM A 596, 238 (2008) G. K. et al., J. Phys.: Conf. Ser. 340, 012048 (2012)

C. Klauser, PhD thesis, TU Wien, 2013C. Klauser et al., J. Phys.: Conf. Ser. 340, 012011 (2012)

Page 28: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Detection systems for PERC

Observable Correlations Measurement principle Examples

β and p momenta

a, b, A Magnetic spectrometerPLUS position sensitive detectors

β energy A, B, b, f2, g2radiativecorrections

β energy sensitive detectors such asscintillation OR silicon detectors

PERKEO I‐III UCNA

p energy a, C Retardation spectrometer PLUS p detector aSPECT

p velocity a, C Wien filter PLUS position sensitive detector

p TOF a p beam pulsed by electric gate voltagePLUS p detector

Page 29: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Sensitivity of decay correlations on

June 19, 2015 Decay Correlations, Summer School Knoxville G.Konrad, TU & SMI Wien, Austria

aAB

aAB

A Vg g

PDG 201

4

Page 30: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Determination of from a

June 19, 2015 Decay Correlations, Summer School Knoxville G.Konrad, TU & SMI Wien, Austria

A Vg g

Page 31: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Measurement of neutrino‐electron correlation a

e

a < 0

Tp small

n

νe

p+

e-a > 0

Tp large

n

νe

p+

e-

ecos 1 ecos 1 Recoil energy spectrum

2e

ee e

d 1 cosd d

vE c

a

Page 32: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

The retardation spectrometer aSPECTProton transmission function

F. Glück et al., EPJ A 23, 135 (2005)S. Baeßler, G. K. et al., EPJ A 38, 17 (2008)G. Konrad et al., NP A 827, 529c (2009)

current goal: 1-2 %design goal: 0.3 %

2p B

Page 33: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

The retardation spectrometer aSPECTIntegral proton spectrum

current goal: 1-2 %design goal: 0.3 %

Crucial prerequisite: background• stable over time • independent of analyzing plane voltage

F. Glück et al., EPJ A 23, 135 (2005)S. Baeßler, G. K. et al., EPJ A 38, 17 (2008)G. Konrad et al., NP A 827, 529c (2009)

Page 34: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

aSPECT beam time 2013

R. Maisonobe, PhD thesis, UJF Grenoble, 2014A. Wunderle et al., in: Proc. of PANIC2014, submitted

p0

p1

10 1 exp tt pf p

Backgroundwithout neutron beam

Background time evolutionwith neutron beam

Ansatz:

no additional E×B

|Size| of correction:• no additional E×B: ≈ 1 %

Current goal: 1‐2 %

G. K., PhD thesis, JGU, 2011

Page 35: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

aSPECT beam time 2013Backgroundwithout neutron beam

Background time evolutionwith neutron beam

R. Maisonobe, PhD thesis, UJF Grenoble, 2014A. Wunderle et al., in: Proc. of PANIC2014, submitted

10 1 exp tt pf p

|Size| of correction:• no additional E×B: ≈ 1 %• additional E×B: < 0.1%

Ansatz:

p0

p1

Current goal: 1‐2 %

additional E×B

G. K., PhD thesis, JGU, 2011

Page 36: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

A new approach to a: aCORN @ NIST

INDIANAUNIVERSITY

current goal: < 5 %design goal: 0.5 %

F.E. Wietfeldt et al., NIM A 538, 574 (2005),NIM A 545, 181 (2005), NIM A 611, 207 (2009)

Measurement principleB. Yerozolimsky et al., arXiv:nucl‐ex/0401014, 2004

Page 37: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

aCORN data (2013)

aCORN data

aCORN data5.0

4.5

4.0

3.5

3.0

2.5

2.0

prot

ontim

eof

fligh

t(s

)

10008006004002000beta energy (keV)

sample of aCORN data (2013)

5.0

4.5

4.0

3.5

3.0

2.5

2.0

prot

on ti

me

of fl

ight

(s)

1000800400 600beta energy (keV)

2000

aCORN Monte Carlo

current goal: < 5 %design goal: 0.5 %

Page 38: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Future prospects for a: Nab @ SNS / abBA

Ee [MeV]

p p2

[MeV

2 /c2 ]

cos θeν = 1

Proton phase space (Dalitz plot) Probability (arb. units)

0

0.25

0.5

0.75

1

1.25

1.5

0 0.2 0.4 0.6 0.8

cos θeν = 0cos θeν = -1

Ee =

236 keV

450 keV

700 keV

Kinematics in INM approximation

• energy conservation

• momentum conservation2 2 2

e ep 2 cos ep p p p p

e,max eEE E

2ep

e

1 cos epa pE

22p emin, max

p p p

Edges

Slope

D. Počanić et al., NIM A 611, 211 (2009)

2e

ee e

d 1 cosd d

vE c

a

Page 39: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

The Nab spectrometer

design goal: 0.1 %

SegmentedSi detector

decay volume (field rB,DV·B0)

0 kV

0 kV

-30 kV

magnetic filterregion (field B0)

Neutronbeam

TOF region(field rB·B0)

Sim

ulat

ed c

ount

s [a.

u.]

0.002 0.004 0.0060

Ee = 300 keVEe = 500 keVEe = 700 keV

1/tp2 [µs-2]

D. Počanić et al., NIM A 611, 211 (2009)S. Baeßler et al., arXiv:1209.4663v1 [nucl-ex], 2012A. Salas-Bacci et al., NIM A 735, 408 (2014)

Proton 1/tp2 histograms:

pp

p pcosm dztp z

Page 40: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Outline

• Motivation

• Neutron beta‐decay within the Standard Model

• Searches for new physics beyond the Standard Model

• Summary and Outlook

June 19, 2015 Decay Correlations, Summer School Knoxville G.Konrad, TU & SMI Wien, Austria

Page 41: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Decay parameters

• 10 unknown parametersGF, Vud, Cj, Cjꞌ, j=V, A, S, T

• 20 or more observables

n, a, b, A, B, C, D, …• Coupling constants Lj to left‐

handed and Rj to right‐handed neutrinos

F. Glück et al., NP A 593, 125 (1995)

F ud

2 j jj LG RVC F ud

2 jj jRG VC L

3

22 22F ud e e 0 e5

e e

d 1 1 3d d d 2 2

p E E EE

G V

ne e e

e n e

e

ee

1 p p p p p pE E E E E E

a A B DmE

b

Page 42: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Decay correlations

2 2 2 22 2 2 2V A S T V A S TL L L L R R Ra R

* * * *2 3 3S V A T S V A TL L L L R R R Rb

2 2 2 2* * * *2 A V A T S T A V A T S TL L L L L L R R R R RA R

F. Glück et al., NP A 593, 125 (1995)

• 10 unknown parameters: GF, Vud, Lj, Rj, j=V, A, S, T

• 20 or more observables: n, a, b, A, B, C, D, …

2 2 2 22 2 2 23 3 3 3V A S T V A S TL L L L R R R R

yet unmeasured

3

22 22F ud e e 0 e5

e e

d 1 1 3d d d 2 2

p E E EE

G V

ne e e

e n e

e

ee

1 p p p p p pE E E E E E

a A B DmE

b

Page 43: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Prospects for scalar and tensor interactions

June 19, 2015 Decay Correlations, Summer School Knoxville G.Konrad, TU & SMI Wien, Austria

b at 10‐3 level precision LHC limits

CMS search for → X

1

1 ∙

M. González‐Alonso, O. Naviliat‐Cuncic, NPAC‐13‐03; arXiv:1304.1759see also: G. Konrad et al., in: Proc. 5th BEYOND 2010, World Scientific, 660, 2011, arXiv: 1007.3027v2 (2010)

Page 44: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Prospects for scalar and tensor interactions

June 19, 2015 Decay Correlations, Summer School Knoxville G.Konrad, TU & SMI Wien, Austria

b at 10‐4 level precision

CMS search for → X

1

1 ∙

LHC limits

T. Bhattacharya et al., PR D85,054512 (2012)M. González‐Alonso, O. Naviliat‐Cuncic, NPAC‐13‐03; arXiv:1304.1759

Page 45: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Beyond the Standard Model physics• Study the structure of the weak interaction

value of weak magnetism form‐factor f2 predicted (CVC hypothesis) value f2 = (κp-κn)/2 ≈ 1.8529 tested only to O(10%) in A=12 system large theoretical uncertainties

• Test the Standard Model of particle physics self‐consistency of the Standard Model unitarity of the Cabibbo‐Kobayashi‐Maskawa (CKM) quark‐mixing matrix

• Search for ‘new physics beyond‘ and new symmetry concepts left‐right symmetry, leptoquarks, supersymmetry (SUSY), etc. right‐handed admixtures, exotic scalar and tensor admixtures can continue to probe for SUSY in regions where it is not accessible to LHC deviations from CKM unitarity ≥ 10‐4 fall in the LHC inaccessible region 10‐3 level b measurements complementary to improved LHC results

superallowed 0+→ 0+ decays

Present best test of the Standard Model

2 2 2 4us uu bd1 1 1 6 10V VV

Kaon decays B‐decays

Page 46: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Measurement of the Fierz interference term b

June 19, 2015 Decay Correlations, Summer School Knoxville G.Konrad, TU & SMI Wien, Austria

Electron energy spectrum

Page 47: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

‛Prototype‘ of a UCN calorimeter: UCNb @ LANSCE

June 19, 2015 Decay Correlations, Summer School Knoxville G.Konrad, TU & SMI Wien, Austria

PMTs

PMTs

b box

UCN ball valve

UCN guide

Calibrationinsert

K. Hickerson, Ph.D. thesis, Caltech, 2012

Electron energy spectrum

Page 48: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Future prospects for b: Nab @ SNS

design goal: 0.003

Systematic uncertainties• Electron energy determination:

• Background

2% of events in tail(deadlayer, external bremsstrahlung)

Yie

ld1

101

102

103

104

105

detected Ee [keV] 0 50 100 150 200 250 300

Detector response to decayelectron with Ee = 300 keV

Electron energy spectrum

D. Počanić et al., NIM A 611, 211 (2009)S. Baeßler et al., arXiv:1209.4663v1 [nucl-ex], 2012

Page 49: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Future prospects for b: PERC @ FRM II

June 19, 2015 Decay Correlations, Summer School Knoxville G.Konrad, TU & SMI Wien, Austria

Electron energy spectrum Electron momentum spectrum

Page 50: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Magnetic spectrometer @ PERC

no low momentum measurements large corrections for θ non‐adiabatic transport of particles B2‐field coupled with B3‐field pitch angles easily distorted

+ large drift distances O(dm)

B2=0.5TB3=0.01T

3 3

, cosprB B

ppq q

Radius of gyration:

Page 51: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

R×B drift momentum spectrometer: NoMoS

Last Coil of PERC

Tilted Coils

e‐/p+ beam

Detector

Aperturey

zx

B3=0.15T

B2=0.5T

α

DDR×Bvd qR²B²

y

xz

ElectronsProtons

X. Wang, G. K., H. Abele, NIM A 701, 254 (2013)

+ extremely versatile+ adiabatic transport of particles+ low momentum measurements+ small corrections for θ+ large acceptance of θ

RB

3

1, (cos )c

d 1os2dT B

v tDq

pp

Page 52: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

R×B drift momentum spectrometer: NoMoS

Last Coil of PERC

Tilted Coils

e‐/p+ beam

Detector

Aperture

B3=0.15T

B2=0.5T

α

DDElectronsProtons

+ extremely versatile+ adiabatic transport of particles+ low momentum measurements+ small corrections for θ+ high resolution:

Δp/p=14.4 keVc-1mm-1

small drift distances O(cm)

1.2%mm‐1

X. Wang, G. K., H. Abele, NIM A 701, 254 (2013)

R×Bvd qR²B²

y

zx

y

xz

3

1, (cos )c

d 1os2dT B

v tDq

pp

RB

Page 53: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Decay correlations

* * * * * *2 2 2S A V T A T S A V T A TL L L L L L R R R R R Rb

2 2 2 2* * * *2 A V A T S T A V A T S TL L L L L L R R R R RA R

F. Glück et al., NP A 593, 125 (1995)

• 10 unknown parameters: GF, Vud, Lj, Rj, j=V, A, S, T

• 20 or more observables: n, a, b, A, B, C, D, …

2 2 2 22 2 2 23 3 3 3V A S T V A S TL L L L R R R R

yet unmeasured

3

22 22F ud e e 0 e5

e e

d 1 1 3d d d 2 2

p E E EE

G V

ne e e

e n e

e

ee

1 p p p p p pE E E E E E

a A B DmE

b

0e

e

B bB mE

2 2 2 2* * * *0 2 A V A T S T A V A T S TL L L L L L R R R R R RB

Signal for MSSM expected at 3~ 10B S. Profumo et al., PR D 75, 075017 (2007)

Page 54: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Measurement of neutrino asymmetry parameter B2

en

e

d 1 cosd d

vE c

B

n

2same opposite

2same opposite

21 3

N NN N

B

Electron energy spectra

Spin down, electron down, proton up

Spin up, electron down, proton up

Spin down, electron up, proton up

Spin up, electron up, proton up

Page 55: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

The spectrometer PERKEO II

e eexp e

e e

N EB

N EE

N E N E

2e

2e

exp ee

e

2 3 31

8 4 24=3 2

14

A B

a

v r rc rvr rP cE

v rc rvr

c

BA B

a

e e e

max

v E mrc E E

Background B‐n‐displacement

0.9802 50B Limit on ‛right‐handed‘ W boson:

2R 296 GeV/cm W

M . Schumann et al., PRL 99, 191803 (2007)

Page 56: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

A new approach to B0 and b: UCNB @ LANSCE

design goal: 0.1 %

A. Salas‐Bacci et al., NIM A 735, 408 (2014)

Page 57: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Measurement of proton asymmetry parameter C

2

p p npp p

d 1 , cosd d

C TE

np

Proton energy spectra

same opposite

same opposite

0.27484C A BN NN N

Page 58: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

The spectrometer PERKEO II

exp e

Q Q Q QE

Q Q Q QC

M . Schumann et al., PRL 100, 151801 (2008)

0.2377 26C

Page 59: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

The successor PERKEO III

goal: 0.2 %

accel. potential- 30 kV

0 V0 V 0 V

proton energy filter0V to +1 kV

magnetic field

photomultipliertubes

p e

scintillator withconductive coating

protonconversion foil

e

from neutrondecay volume

Page 60: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

A similar approach: PANDA @ SNS

T. Chupp et al.

goal: 0.1 % p pdC T TC

Page 61: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

The Neutron Alphabet I

3

22F

22ud e e 0 e5

e e

d 1 1 3d d d 2 2

G V p E E EE

ne e e

e n e

e

ee

1 p p p p p pE E E E E E

a A B DmE

b

J.D. Jackson et al., PR 106, 517 (1957)

-1n

• 3 unknown parametersGF, Vud,

• 20 or more observables

n, a, b, A, B, C, D, …

• yet unmeasuredb

A Vg g

June 19, 2015 Decay Correlations, Summer School Knoxville G.Konrad, TU & SMI Wien, Austria

221 3

D

Page 62: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Measurement of D coefficient: TRINE @ ILL

D = (–2.86.4stat3.0syst)·10-4

T. Soldner et al, Phys. Let. B 581, 49 (2004)

e p

3n e

e e n

n

e

p

n e

ed 1 1d d d p p p

p p DE E E

pD

E Ep

ep

ppp

00 01 10 11

004 D

DP

e ,p e ,p

e ,p e ,p

i j i jij

i j i j

N NN N

with

Page 63: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Measurement of D coefficient: emiT @ NIST

T Chupp et al, PR C 86, 035505 (2012)L.J. Lising et al., PR C 62, 055501 (2000)

D = (–0.941.89stat0.97syst)·10-4

e p

3n e

e e n

n

e

p

n e

ed 1 1d d d p p p

p p DE E E

pD

E Ep

Page 64: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

The Neutron Alphabet II

2

22 22F ud e e 0 e4

e

d 1 1 3d d 2 2

G p E EV EE

n n ne e ee

e n e n n e

1 m p pb AE E E

N R

J.D. Jackson et al., PR 106, 517 (1957)

-1n

2 2 2 2* * * *e

e

2 A T V A S T A T V A S Tm L L L L L L R R R R R RE

N

* * * * * *2 2V T S A T A V T S A T AL L L L L L R R R R R R

F. Glück et al., NP A 593, 125 (1995)

2 2 2 22 2 2 23 3 3 3V A S T V A S TL L L L R R R R

2 2 2 2* * * *e

e

2 2 2 2A T V A S T A T V A S Tm L L L L L L R R R R Rp

R R

* * * * * *2 2 2V T S A T A V T S A T AL L L L L L R R R R R R

• 10 unknown parameters: GF, Vud, Lj, Rj, j=V, A, S, T

• 20 or more observables: n, a, b, A, B, C, D, N, R, …

Page 65: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

The nTRV experiment @ PSI

e

pe

ppJn

p

2n n e

ee n n e

d 1d d

N pE E

R

Mott scattering

A. Kozela et al, PR C 85, 045501 (2012)A. Kozela et al., PRL 102, 172301 (2009)

Up‐down asymmetry

NSM = 0.066

Forward‐backward asymmetry

RSM = 0.00066

N = +0.0670.011stat0.004syst

R = +0.0040.012stat0.005syst

Page 66: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Rare decay modes• Radiative neutron β‐decay

electron innerBremsstrahlung (IB) proton IB weak‐vertex IB etc.

radiative corrections to continuum state β‐decay

• Bound state neutron β‐decay

hyperfine levels of metastable 2S state (for gS=gT=0)

signature for right‐handed currents

-3QEDBR =2.81 10en p e

6BR 4 10en H

d

u

e-

νe

d

u

e-

νe

d

u

e-

νe

g gg

1 1 1 1 1 1, 0.6%, , 55.2%, , 44.2%,2 2 2 2 2 2

1 1and , 0; 02 2

Page 67: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Radiative neutron β‐decay: RDK @ NIST

en p e

R.L. Cooper et al., PR C81, 035503 (2010)

J. Nico et al., Nature 444, 1059 (2006)

stat syst -3expBR = 3.09 0.11 0.30 10

Page 68: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Bound state neutron β‐decay: BOB @ FRM II

J. McAndrew et al., Hyp. Int. 210, 13 (2012)W. Schott et al., Eur. Phys. J. A 30, 603 (2006)

Configuration gS = 0, gT = 0 gS = 0.1, gT = 0 gS = 0, gT = 0.1

44.14 % 46.44 % 43.40 %

55.24 % 53.32 % 55.82 %

0.622 % 0.238 % 0.780 %

0.0 % 0.0 % 0.0 %

1 1,2 2

1 1,2 2

1 1,2 2

1 1,2 2

Page 69: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

September 12, 2013 Tests of Lorentz symmetry in neutron decay, PSI2013 Courtesy of J.S. Diaz

Page 70: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

September 12, 2013 Tests of Lorentz symmetry in neutron decay, PSI2013 Courtesy of J.S. Diaz

Page 71: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

September 12, 2013 Tests of Lorentz symmetry in neutron decay, PSI2013 Courtesy of J.S. Diaz

Page 72: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Summary & Outlook

• Neutron alphabet deciphers the Standard Model of particle physics observables in neutron β‐decay are abundant

• Precision measurements of neutron β‐decay address important open questions of particle physics and cosmology can continue to probe for SUSY in regions where it is not accessible to LHC 10‐3 level b measurements complementary to improved LHC results

• Rich experimenal program• New physics might be found. Maybe soon.

June 19, 2015 Decay Correlations, Summer School Knoxville G.Konrad, TU & SMI Wien, Austria

Page 73: Decay correlations 2015-06-19 · September 4, 2014 Testing CVC and CKM unitarity via SAF-β-decay, Solvay Workshop Brussels 2014 Courtesy of J. Hardy. Determination of June 19, 2015

Further reading

• H. Abele, Prog. Part. Nucl. Phys. 60, 1 (2008)• S Baeßler et al., J. Phys. G: Nucl. Part. Phys. 41, 114003 (2014)• V. Cirligiano, S. Gardner, B. Holstein, Prog. Part. Nucl. Phys. 71, 93 (2013)• D. Dubbers & M.G. Schmidt, Rev. Mod. Phys. 83, 11111171 (2011)• A.N. Ivanov, M. Pitschmann & N.I. Troitskaya, Phys. Rev. D 88, 073002

(2013)• J. Nico & M. Snow, Annu. Rev. Nucl. Part. Sci. 55, 27 (2005)• A.R. Young et al., J. Phys. G: Nucl. Part. Phys. 41, 114007 (2014)• etc.

June 19, 2015 Decay Correlations, Summer School Knoxville G.Konrad, TU & SMI Wien, Austria