Flavor Mixing of quarks
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Transcript of Flavor Mixing of quarks
quark (2/3) neutrino quark (-1/3) charged lepton
weak decay of neutron
Lambda – decay:
decay amplitude only about20 % of the neutron decay
amplitude
N. Cabibbo 1963
( Cabibbo angle )
the term with cos … = 0.974 has been observed in beta decay
1970:
GIM – mechanism
( Glashow, Iliopoulos, Maiani )
c: charmed quark
Nov: 1974: discovery of the psi meson
at SLAC – MIT( bound charm + anticharm )
III
II
I
cccc sd
c
sd
u
cossinsincos
013c
ba
a0
Electroweak theory:
SU(2) x SU(2) x U(1)
ba
a0
c
u
m
m
ba
a
0
00
ds
sdd mm
mm
2
2tan c
uu m
m
c
ui
s
dc m
me
m
m
21.0s
d
m
m07.0
c
u
m
m
o13
c
u
m
m090
sd mm /
III
II
I
100
0
0
0
010
0
0
0
001
1212
1212
1313
1313
2323
2323 cs
sc
ces
esc
cs
scVi
i
New parametrization:
100
0
0
0
0
00
100
0
0
dd
ddi
uu
uu
cs
sc
cs
sc
e
cs
sc
V
0 0
0
A
A C B
B D
0 0
0
A
A C B
B D
tan /d d sm m
tan /u u cm m
u d
0 0
0
A
A C B
B D
tan /d d sm m
od 4.00.13
tan /u u cm m
oou 7.00.5
oo
oou
Exp 1.14.5:
7.00.5
oo
od
Exp 6.27.11:
4.00.13
tbtstu
cbcscu
ubusud
VVV
VVV
VVV
V
c
u
m
m
090sd mm /
Experiment:
alpha
89.0 + 4.1/-4.2 degrees
090
Maximal CP-violation
025.0681.02sin:
663.02sin
sincos
cossintan
Exp
du
du
electron: 0.51 MeVmuon: 105.7 MeVtauon: 1 777 MeV
neutrino masses: unknown but less than ~ 1 eV
...)(00483.0
...)(2ln3
/
2
2
O
Omme
137
1
W. Pauli: 1930 Neutrino mass ~ m(e)
1956: parity violationWu / Lee – Yang
1958: maximal parity violation
Feynman – Gell-MannMarshak - Sudarshan
neutrinos massless
1998:
Kamioka
neutrino ………oscillations……. Y. Totsuka
(Kamioka)
WhatWhat
R
L
RL
RL
fermionMajorana
ee
eefermionDirac
:
:
Superposition of Dirac mass and Majorana mass:
MD
DM
0
M
Dm
2
cccc sd
c
sd
u
cossinsincos
ee
21
21
cossin
sincos
e
321
321
321
VVV
VVV
VVV
Veee
100
00
00
i
i
e
e
P
at sun
)(unknown
anglereactorl
332211 eeee VVV
332211 VVV
332211 VVV
100
00
00
i
i
e
e
P
at sun
)(unknown
anglereactorl
100
00
00
i
i
e
e
P
100
00
00
i
i
e
e
P
at sun
)(unknown
anglereactorl
at
sun
100
0cossin
0sincos
cossin0
sincos0
00
100
0cossin
0sincos
i
ll
ll e
U
l
Solar neutrino deficit, observed by R. Davis
Homestake experiment Lead, South Dakota ( started about 1968 )
Ewigkeit ist lang, speziell gegen dem Ende zu.W.A.
Sudbury Neutrino Observatory (SNO)
Schwer-Wasser-Čerenkov-DetektorOntario, USA
Sonne Experimente I SNP Experimente II Lösung
1000 t D2O
Unterstützungsstruktur9500 PMTs
(60% Abdeckung)
Kessel, Ø 12m
innere Wasserabschirmung1700 t
äußere Wasserabschirmung5300 t
Abschirmung
• Long Baseline (180 km)• Calibrated source(s)• Large detector (1 kton)• Deep underground (2700 mwe)
Minos experiment:
The neutrino beam from Fermilab ( Batavia near Chicago ) is investigated at Fermilab ( near detector ) and 735 km away in Northern Minnesota ( far detector )
Minos experiment: far detector
256.04.0
221 108 eVm
236.0
5.0232 104.2 eVm
neutrino massesA: masses about 1 eV
m(1) = 0.94 eV m(2) = 0.95 eV
m(3) = 1 eV
neutrino masses:
B: masses much smaller than 1 eV m(1) = 0 eV m(2) = 0.009 eV
m(3) = 0.06 eV (strong hierarchy)
neutrino masses:
C: neither hierarchy nor degeneracy m(1) = 0.10 eV m(2) = 0.14 eV m(3) = 0.29 eV
100
00
00
i
i
e
e
P
at sun
)(unknown
anglereactorl
at
sun
100
0cossin
0sincos
cossin0
sincos0
00
100
0cossin
0sincos
i
ll
ll e
U
l
osun
o 3.367.31
oat
o 5238
23232 104.2 eVm
25221 106.7 eVm
0 0
0
A
A C B
B D
0 0
0
A
A C B
B D
100
0cossin
0sincos
cossin0
sincos0
00
100
0cossin
0sincos
i
ll
ll e
U
12
2122tan
mm
mm
0695.02
2tan
e
e
l mm
mm
Observation:oo 45__33 12.004.021 42.0/
mm
:
42.0/ 21 mm
25221 108 eVm
23232 104.2 eVm
m(1) = ( 0.004 +/- 0.0012 ) eV
m(2) = ( 0.011 +/- 0.002 ) eV
m(3) = ( 0.051 +/- 0.007 )eV
12
3
e
DB
BA
A
M
0
0
00
o
m
m26
3
22
o4097.02sin2
21 at
o
m
m141
DB
BA
A
M
0
0
00
DB
BA
A
M
0
0
00
321
321
321
VVV
VVV
VVV
Veee
0695.0tan
m
mel
oat
o 5238
atleV sinsin3
006.0049.0sin 133 eV
0022.00096.02sin 132
08.03 eV
123
Total Tunnel length ~ 3000 m
Daya Bay
• Multiple detectorsper site cross-check detector efficiency
• Two near sites sample flux from reactor groups
0022.00096.02sin 132
Neutrinoless Double Beta Decay
332211. mVmVmVm eeeeff
.........................................
012.00025.00064.00035.0
321
.
effm