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To Infinity and Beyond!
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The Quest
Value of
m2
?
m2c
130 s
13e i
0 1 0
−s13
ei 0 c13
Normal or inverted?
U PMNS=(0.8 0.5 −0.15−0.4 0.7 0.60.4 −0.5 0.7 )
UCKM=(0.975 0.222 0.0040.221 0.97 0.040.01 0.04 0.999)
Better estimates of theoscillation parametersusing acceleratorsIs
23 maximal?
Is = ?What is the absolute
mass?
?
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The next 20 years
Measurement Method Experiments Why? When
T2K, NovA Is it maximal? 2009
T2K, NovA Equal to 0? Can't 2012
Reactor 2012
Disapp.
Next Gen Unification, GUT 2020
Neutrino Factory Lepton asymmetry 2035?
23
Disapp.
13
e Appear.
measure CP
if it is
Anti-e
Sgn(m23
2) e / anti-
e
CP
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Current Experiments
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Next generation of experiments
DUSEL UndergroundNeutrino Experiment (DUNE)
1300 km
SK (to scale'ish)
Hyper-Kamiokande
MW beamsmulti-kton far detectors
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Dune / HK Comparison
DUNE Hyper-K T2K
Beam Energy 3 GeV 0.7 GeV 0.7 GeV
Baseline (L) 800 km 295 km 295 km
Beam Power 1.2 MW 0.75 MW 0.3 MW
Mass of far detector
70 kton 560 kton 22.5 kton
Technology Liquid Ar TPC Water Cerenkov Water Cerenkov
Running from 2025 2025(30)
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The Future – CP violation and Mass Hierarchy
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CP violation?
Measuring CP
is the ultimate goal of neutrino oscillation
experiments. How?
P e ≠P eLook for
Prob
=
−4∑i j
ℜU i* U
i U j U j*sin2
mij2 L4E
2∑i jℑU i
* U i U j U j*sinmij
2 L2E
= 0 if
CP violation can only take place in appearance experimentsWant a channel which is sensitive to
CP but with an
accessible m2.
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In all it's naked glory
P e e=P1P2P3P4 13
23
>45 or 23
<45
Sign(m23
2)
P1=sin223sin
221313
B -+2
sin2B+-
2L
P2=cos223sin
221212
A 2
sin2A2
L
P3= J cos cos 23
2L
12
A
13
B-+
sin A2
Lsin B-+
2L
P4=±J sin sin 23
2L
12
A
13
B -+
sinA2
Lsin B-+
2L
ij=mij
2
2 E
A=2GF N e
B -+=∣13∓A∣J=cosθ13sin 2θ12sin 2θ23sin 2θ13
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Degeneracies
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As baseline grows,matter effects increase
At distances of around1000 km we canunambiguously identify the massheirarchy
Once we've donethat we need to determine CP phase
Matter Effects
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T2K + NOVA Reach
δCP=π2 δCP=
3 π2
δCP=π
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Mass Hierarchy Determination - DUNE
70 kton far detectors 1 MW beam power 4 years of running
5 sensitivity at all CP
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Mass hierarchy in 0 decay
Γ0 ν∝mνe=m1|U e1|
2+m2|U e 2|
2+m3|U e3|
2
m 2β=|U e1|2√m3
2+Δm 23
2+|U e 2|
2√m 32+Δm 23
2+|U e3|
2m 3
2
In the inverted hierarchy : m3 m
1 m
2 , m
13
2 m23
2
and m3 is the lightest mass state, so we can write
Setting m3 to zero (not a bad approximation) one can show that
m2β>√Δm232 cos2θ13
i.e for the inverted hierarchy, the decay rate, 0
would havea
lower limit.
m1
m2
m3
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Mass hierarchy & 0 decay
m3[eV ]
mν
e[e
V]
Current upper limit
IH
NH
Experimental limit needs to decrease by a factor of 10
Limit scales with mass and run time
Experiments need to be 10 times bigger
These are being built now.
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Mass Hierarchy Determination
A number of different experiments, both acceleratorand 0 decay focused, are now trying to determine the mass hierarchy.
Timescale : 10-15 years from now (although good indications before hand – mass hierarchy is abinary measurement, after all)
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Degeneracies
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CP
= 0
CP = 90
CP
= 270
Firstmaximum
Second maximum
Osc.Prob.@First MaxOsc. Prob.@ Second Max
= f (δCP )
E/L
A way around the degeneracies
e oscillation probability
Could study CPV using an experiment sensitive to both maxima using only a neutrino beam.
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DUNE / HK Reach
5 significance forsin
CP 0 over
56% of CP
space
20% precision at
CP = -90 degrees
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Hint of CP
?
Fitting full 3-flavour model to T2K e appearance data
suggests CP
> 0 disfavoured (mild sensitivity to second
oscillation maximum)?
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Next Generation Summary
Future Superbeam facilities (LBNF, Hyper-K) will look for CPV and mass heirarchy measurements using Very Long Baseline experiments
Being designed now and in operation in 10 years - upgrade of the existing beams (J-PARC, NUMI) and new main detector
a lot of R&D already done. Detector is on the cutting edge, butcould be build soon with more work.
Cost on the order of £700 million (shared over many countries)
What we do next
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Neutrino Factories
In a conventional beam the neutrinos from pion decayIn a neutrino factory the neutrinos come from muon decay
Beam is very clean50%
,
e
Extremely high fluxPrecise and predictable energy spectrum
μ-→νμ νe e-
μ+→νμ νe e
+
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Neutrino Spectra & Event rates
Event rate : 20 million eventsper 100 g per cm2 of materialper year
T2K Equivalent : 120 per 100gper cm2 per year
Fantastic for neutrino interaction studies
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CP Precision
Neutrino Factory beats all other facilities
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Neutrino Factory Design
MICE
MERIT
LEBT
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TargetryEnergy per pulse on target is on the order of 2 MJ, delivered inan area of 0.1 cm2 in less than 2 ns every 20 ms or so. This leads to a temperature rise and fall of more than 1000degrees per hit. Huge damage to target and surroundingmaterial.
Mercury Jet Powder Jet Rotating Disc
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IssuesCavitation of Target wallby flying mercury droplets.
This could erode the entire thing over period of use
Radiation damage of surroundingshielding due to neutrons couldmake the superconducting magnetsthat surround the target regionquench - i.e. become normally conducting.
Same thing happened to LHC magnets after first switch-on
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Engineering Challenges 4 MW Proton beam hits a target. Proton beam is beingdesigned now at Fermilab - called “Project X”
Target survives and generates a spray of /K(Can we make a target which does survive?)
/K decay to muons
Muons must be directed into the accelerator system
Muons must be stored until they decay. The accelerator is fighting the decay time of the muon.
Neutrinos must be directed in the right direction
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Neutrino Factory Summary
Best discovery potential and sensitivity from all options.
Couldn't be built now. If we decided to build one it, and its detectors, wouldn't be ready until 2040 or so. Design study underway and the problems are being addressed by demonstrator experiments.
Cost on the order of £2 billion (LHC cost £3 billion; the Shard cost 0.5 billion; the trains for HS-2 will cost 7 billion).
Can we do this now? No.
Should we do this now? It's the best, but is it worth it? Much discussion in the field now about what to do after LBNF/HK.
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CP Violation Measurement
Timescale : Determination of non-zero CP
at 5 by 2030, although indications well-before handPrecision measurement depends on the value of
CP ,
what machines are available, and what other data we need to combine but possibly not before 2035 (?)
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General Summary
Neutrino Physics is one of the most active fields in modern-day particle physics
Establishment of the existence of neutrino mass has opened up fields of study in particle physics, astrophysics and cosmology and has led to an international research effort planned on the timescale of decades.
We have learned a bit of what is going on
We have a lot more to learn
Neutrinos have always been the joker in the deck. Just when you think you understand them, they do something unexpected. Expect more surprises.
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Final Comments
All lectures have either been uploaded (for slides) or scannedin (for paper) lectures to the Moodle PX435 site.
There are some interesting papers on the site – look especiallyat the last one by Boris Kayser which talks about Majorana neutrinos in a coherent way
Over Easter I will release the formal write-ups for this lecture series. I'm revising at the moment.
Good luck in whatever you do next !
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The End