![Page 1: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/1.jpg)
A neutrino beam to IceCube/PINGU?(PINGU = “Precision IceCube Next-Generation Upgrade“)
NPAC (Nuclear/Particle/Astro/Cosmo) Forum
UW-Madison, USAMay 15, 2012
Walter Winter
Universität Würzburg
![Page 2: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/2.jpg)
2
Contents
Introduction Oscillation physics using a core-crossing
baseline Neutrino beam to PINGU:
Beams and detector parameterization Detector requirements for large 13
Comments on LBNE reconfiguration Summary
![Page 3: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/3.jpg)
3
Three flavor mixing
Use same parameterization as for CKM matrix
Pontecorvo-Maki-Nakagawa-Sakata matrix
( ) ( ) ( )= xx
(sij = sin ij cij = cos ij)
Potential CP violation ~ 13
![Page 4: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/4.jpg)
4
13 discovery 2012
First evidence from T2K, Double Chooz Discovery (~ 5) independently (?)
by Daya Bay, RENO
(from arXiv:1204.1249)
1 error bars
Daya Bay 3
![Page 5: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/5.jpg)
5
Mass spectrum/hierarchy
Specific models typically come together with specific MH prediction (e.g. textures are very different)
Good model discriminator(Albright, Chen, hep-ph/0608137)
8
8
Normal Inverted
![Page 6: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/6.jpg)
6
Three flavors: 6 params(3 angles, one phase; 2 x m2)
Describes solar and atmospheric neutrino anomalies, as well as reactor antineutrino disapp.!
Three flavors: Summary
Coupling: 13
Atmosphericoscillations:Amplitude: 23
Frequency: m312
Solaroscillations:Amplitude: 12
Frequency: m212
Suppressed
effect: CP
(Super-K, 1998;Chooz, 1999; SNO 2001+2002; KamLAND 2002;Daya Bay, RENO 2012)
![Page 7: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/7.jpg)
7
Consequences
Parameter space for CP starts to become constrained; MH/CPV difficult (need to exclude CP=0 and )
Need new facility!
Huber, Lindner, Schwetz, Winter, 2009
![Page 8: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/8.jpg)
8
Mass hierarchy discovery?
90% CL, existing equipment
3, Project X and T2K with proton driver, optimized neutrino-antineutrino run plan
Huber, Lindner, Schwetz, Winter, JHEP 11 (2009) 44
![Page 9: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/9.jpg)
9
Mass hierarchy measurement?
Mass hierarchy [sgn(m2)] discovery possible with atmospheric neutrinos? (liquid argon, HyperK, MEMPHYS, INO, PINGU?, LENA?, …)
Barger et al, arXiv:1203.6012;IH more challenging
However: also long-baseline proposals! (LBNO: superbeam ~ 2200 km – LAGUNA design study; CERN-SuperK ~ 8870 km – Agarwalla, Hernandez, arXiv:1204.4217; South Pole: Dick et al, 2000)
Perhaps differentfacilities for MH and CPV
proposed/discussed?
![Page 10: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/10.jpg)
Oscillation physics using a core-crossing baseline
![Page 11: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/11.jpg)
11
What is PINGU?What is PINGU?
2012
![Page 12: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/12.jpg)
12
PINGU fiducial volume?
A few Mt fiducial mass for superbeam produced with FNAL main injector protons (120 GeV)
(Jason Koskinen)
LBNE-beam
![Page 13: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/13.jpg)
13
Beams to PINGU? Labs and potential detector locations (stars) in
“deep underground“ laboratories: (Agarw
alla, Hu
ber, Tang, W
inter, 2010)
FNAL-PINGU: 11620 kmCERN-PINGU: 11810 kmRAL-PINGU: 12020 kmJHF-PINGU: 11370 km
All these baselines cross the Earth‘s outer core!
![Page 14: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/14.jpg)
14
Matter profile of the Earth… as seen by a neutrino
(PR
EM
: Prelim
inary R
eference E
arth M
odel)
Core
Innercore
![Page 15: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/15.jpg)
15
Matter effect (MSW) Ordinary matter:
electrons, but no , Coherent forward
scattering in matter: Net effect on electron flavor
Hamiltonian in matter (matrix form, flavor space):
Y: electron fraction ~ 0.5
(electrons per nucleon)
(Wolfenstein, 1978; Mikheyev, Smirnov, 1985)
![Page 16: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/16.jpg)
16
Parameter mapping
Oscillation probabilities invacuum:matter:
Matter resonance: In this case: - Effective mixing maximal- Effective osc. frequency minimal
For appearance, m312:
- ~ 4.7 g/cm3 (Earth’s mantle): Eres ~ 6.4 GeV- ~ 10.8 g/cm3 (Earth’s outer core): Eres ~ 2.8 GeV
Resonance energy:
MH
![Page 17: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/17.jpg)
17
Mantle-core-mantle profile
Probability for FNAL-PINGU (numerical)
(Parametric enhancement: Akhmedov, 1998; Akhmedov, Lipari, Smirnov, 1998; Petcov, 1998)
Core resonance
energy
Mantleresonance
energy
Inter-ference
Thresholdeffects
expected at:2 GeV 4-5 GeV
Beam energyand detector threshold have to pass ~ 2 GeV!
Naive L/E scalingdoes not apply!
Parametric enhancementthrough mantle-core-mantle
profile of the Earth.Unique physics potential!
!
![Page 18: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/18.jpg)
Neutrino beam to PINGU?
Beams and detector parameterization
![Page 19: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/19.jpg)
19
There are three possibilities to artificially produce neutrinos
Beta decay:Example: Nuclear reactors, Beta beams
Pion decay:From accelerators:
Muon decay:Muons produced by pion decays! Neutrino Factory
Muons,neutrinos
Possible neutrino sources
Protons
Target Selection,focusing
Pions
Decaytunnel
Absorber
Neutrinos
Superbeam
![Page 20: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/20.jpg)
20
Considered setups
(for details: Tang, Winter, JHEP 1202 (2012) 028, arXiv:1110.5908; Sec. 3)
Single baseline reference setups:
Idea: similar beam, but detector replaced by PINGU/MICA [need to cover ~ 2 – 5 GeV]:
L [km]
![Page 21: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/21.jpg)
21
Want to study e- oscillations Beta beams:
In principle best choice for PINGU (need muon flavor ID only) Superbeams:
Need (clean) electron flavor sample. Difficult? Neutrino factory:
Need charge identification of + and - (normally)
Oscillation channels
![Page 22: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/22.jpg)
22
PINGU fiducial volume? In principle: Mton-size detector in relevant ranges:
Unclear how that evolves with cuts for flavor-ID etc. (background reduction); MICA even larger? Use effective detector parameterization to study requirements: Eth, Veff, Eres
(Tang, Winter, JHEP 1202 (2012) 028; Veff somewhat smaller than J. Koskinen ‘s current results)
Eth
Veff
Eres (E) = E
![Page 23: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/23.jpg)
23
Detector paramet.: mis-ID
misIDtracks << misID <~ 1 ?
(Tang, Winter, JHEP 1202 (2012) 028)
misID: fraction of events of a
specific channel
mis-identified as signal
![Page 24: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/24.jpg)
Detector requirements for large 13
![Page 25: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/25.jpg)
25
Superbeam (LBNE-like)
Mass hierarchy measurement very robust(even with largemisID and totalrates only possible)
(Tang, Winter, JHEP 1202 (2012) 028)
(misIDtracks = 0.01)
Fra
ctio
n of
C
P
![Page 26: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/26.jpg)
26
Low-intensity alternative?
Use existing equipment, new beam line Here: use most conservative assumption
NuMI beam, 1021 pot (total), neutrinos only[compare to LBNE: 22+22 1020 pot without Project X ~ factor four higher exposure than the one considered here] (FERMILAB-PROPOSAL-0875, NUMI-L-714)
Low intensity allows for shorter decay pipe (rough estimate: ~ 100 m for 700kW beam)
Advantage: Peaks in exactly the right energy range for the parametric enhancement due to the Earth‘s core
(Tang, Winter, JHEP 1202 (2012) 028)
![Page 27: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/27.jpg)
27
Detector parameterization Challenges:
Electron flavor ID Systematics (efficiency, flux normalization near
detector?) Energy resolution
Make very (?) conservative assumptions here: Fraction of mis-identified muon tracks (muon tracks may
be too short to be distinguished from signal) ~ 20% Irreducible backgrounds (zeroth order assumption!):
Intrinsic beam background Neutral current cascades cascades (hadronic and electromagnetic cascades
indistinguishable) Systematics uncorrelated between signal and
background No energy resolution (total rates only)
(for details on parameterization: Tang, Winter, JHEP 1202 (2012) 028)
![Page 28: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/28.jpg)
28
Event rates
Normal hier. Inv. hierarchy
Signal 1560 54
Backgrounds: e beam 39 59
Disapp./track mis-ID 511 750
appearance 3 4
Neutral currents 2479 2479
Total backgrounds 3032 3292
Total signal+backg. 4592 3346
(Daya Bay best-fit)
>18 (stat. only)
![Page 29: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/29.jpg)
29
NuMI-like beam to PINGU?
Very robust mass hierarchy measurement (as long as either some energy resolution or control of systematics); track mis-identification maybe too conservative
(Daya B
ay best-fit; current param
eter un
certainties, marginalized over)
GLoBES 2012
All irreducible backgrounds included
![Page 30: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/30.jpg)
30
Probabilities: CP-dependence
There is a rich CP-phenomenology:
(probably works for NH only!?)
NH
![Page 31: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/31.jpg)
31
Upgrade path towards CP? Measurement of CP
in principle possible, but challenging
Requires: Electromagnetic
shower ID (here: 1% mis-ID)
Energy resolution (here: 20% x E)
Maybe: volume upgrade(here: ~ factor two)
Project X Performance and
optimization of PINGU, and possible upgrades (MICA, …) require further study
= LBNE + Project X!
(Tang, Winter, JHEP 1202 (2012) 028)
same beamto PINGU
![Page 32: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/32.jpg)
32
Beta beam
Similar results for mass hierarchy measurement (easy)
CPV less promising: long L, asymmetric beam energies (at least in CERN-SPS limited case ~656 for 8B and =390 for 8Li) although moderate detector requirements
(Tang, Winter, JHEP 1202 (2012) 028)
(misID ~ 0.001, Eth=2 GeV, Eres=50% E, Veff=5 Mt)
![Page 33: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/33.jpg)
33
Neutrino factory
No magnetic field, no charge identification Need to disentangle Pe and P by energy
resolution:
(from: Tang, Winter, JHEP 1202 (2012) 028; for non-magnetized detectors, see Huber, Schwetz, Phys. Lett. B669 (2008) 294)
)
![Page 34: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/34.jpg)
34
contamination
Challenge:
Reconstructed at lower energies!(Indumathi, Sinha, PRD 80 (2009) 113012; Donini, Gomez Cadenas, Meloni, JHEP 1102 (2011) 095)
Choose low enough E to avoid
Need event migration matrices (from detector simulation) for reliable predictions! (neutral currents etc)
(sin2213=0.1)
(Tang, Winter, JHEP 1202 (2012) 028)
![Page 35: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/35.jpg)
35
Matter density measurementExample: LBNE-like Superbeam
Precision ~ 0.5% (1)
Highly competitive to seismic waves (seismic shear waves cannot propagate in the liquid core!)
(Tang, Winter, JHEP 1202 (2012) 028)
![Page 36: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/36.jpg)
LBNE reconfiguration
(some personal comments)
Thanks discussions with:A. de Gouvea, F. Halzen, J. Hylen, B. Kayser, J. Kopp, S. Parke, PINGU collaboration, …
![Page 37: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/37.jpg)
37
~ 600M$
![Page 38: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/38.jpg)
38
Landscape (before reconfiguration)
LBNE one out of many options to measure CPV
Can this reach be matched in a phased approach?
How can one define a truly unique experiment for <= 600M US$?
How would one react if T2HK happens?
(P. Huber)
![Page 39: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/39.jpg)
39
Reconfiguration options?… or how to spend 600 M$
New detector, existing beam lineMINOS site (L=735 km)NOvA site (L=810 km)New site?
New (smaller) detector, new beam line (~300 M$)Smaller detector in Homestake (L=1300 km)Surface detector at Homestake (L=1300 km)
New beam line (<= 550 M$?), (then) existing detectorPINGU (L=11620 km)…
Idea ~ 2 weeks old
![Page 40: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/40.jpg)
40
Best physics concept?
(Barger, Huber, Marfatia, Winter, PRD 76 (2007) 053005)
NuMIbeam line
Newbeam line
Homestake, on-axis
![Page 41: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/41.jpg)
41
Conclusion:
LBNE – smaller version?
How many does one need?
Combination of experiments tolerable as physics result?
MH, 5
This is whatT2HK
cannot do
This is whatT2HK
can also do
![Page 42: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/42.jpg)
42
Conclusions: FNAL-PINGU?
FNAL-PINGU Megaton-size ice detector as upgrade of DeepCore with lower threshold; very
cost-efficient compared to liquid argon, water Unique mass hierarchy measurement through parameteric enhancement;
proton beams from main injector may just have right energy In principle, MH even with counting experiment measurable (compared to MH
determination using atmospheric neutrinos) Challenges on beam side (questions from PINGU meeting):
Tilt of beam line – feasibility, cost? Near detector necessary? Maybe not, if 10% systematics achievable … Beam bunching (to reduce atmospheric backgrounds)?NB: very low exposure required for MH; shorter decay pipe, one horn only, …?
Perspectives CP violation challenging (requires energy resolution, flavor identification), but
not in principle excluded; needs further study on detector side Measurement of Earth‘s core density, in principle, possible
(Tang, Winter, JHEP 1202 (2012) 028) Upgrades of PINGU discussed (MICA)
Truly unique and spectacular long-baseline experiment with no other alternative proposed doing similar physics!? The LBNE alternative if T2HK is going to be funded?
![Page 43: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/43.jpg)
BACKUP
![Page 44: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/44.jpg)
44
NOvA+INO (atm.)?
(Blennow, Schwetz, arXiv:1203.3388)
MH, 3
![Page 45: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/45.jpg)
45
NF: Precision measurements?
… only if good enough energy resolution ~ 10% E and misID (cascades versus tracks) <~ 1% can be achieved!
Requires further study …
(Tang, Winter, JHEP 1202 (2012) 028)
![Page 46: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/46.jpg)
46
Beams: Appearance channels
(Cervera et al. 2000; Freund, Huber, Lindner, 2000; Akhmedov et al, 2004)
Antineutrinos: Magic baseline:
L~ 7500 km: Clean measurement of 13 (and mass hierarchy) for any energy, value of oscillation parameters! (Huber, Winter, 2003; Smirnov 2006)
In combination with shorter baseline, a wide range of very long baseline will do! (Gandhi, Winter, 2006; Kopp, Ota, Winter, 2008)
![Page 47: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/47.jpg)
47
Quantification of performanceExample: CP violation discovery
Sensitive region as a
function of true 13 and CP
CP values now stacked for each 13
Read: If sin2213=10-3, we
expect a discovery for 80% of all values of CP
No CPV discovery ifCP too close to 0 or
No CPV discovery forall values of CP3
~ Precision inquark sector!
Best performanceclose to max.
CPV (CP = /2 or 3/2)
![Page 48: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/48.jpg)
48
Effective volume
Difference Eth = 2 GeV, Veff=5 Mt to actual (energy-dependent) fiducial volume:
(Tang, Winter, JHEP 1202 (2012) 028)
![Page 49: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/49.jpg)
49
Note:
Pure baseline effect!
A 1: Matter resonance
VL baselines (1)
(Factor 1)2
(Factor 2)2
(Factor 1)(Factor 2)Prop. To L2; compensated
by flux prop. to 1/L2
![Page 50: A neutrino beam to IceCube/PINGU? (PINGU = “Precision IceCube Next-Generation Upgrade“)](https://reader036.vdocuments.site/reader036/viewer/2022062423/5681449c550346895db14923/html5/thumbnails/50.jpg)
50
Factor 1: Depends on energy; can be matter enhanced for long L; however: the longer L, the stronger change off the resonance
Factor 2:Always suppressed for longer L; zero at “magic baseline” (indep. of E, osc. Params)
VL baselines (2)
(m312 = 0.0025, =4.3 g/cm3, normal hierarchy)
Factor 2 always suppresses CP and solar terms for very long baselines; note that these terms include 1/L2-dep.!