vulcano 2014 are icecube pev neutrino events ... · pev neutrino events extraterrestrial or can be...

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Anatoly Petrukhin National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Russia Are IceCube PeV neutrino events extraterrestrial or can be of atmospheric origin? Content 1. Introduction 2. IceCube results and other unusual events in CR 3. Possible explanation of a full set of unusual events 4. Conclusion Vulcano 2014

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Page 1: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

Anatoly Petrukhin

National Research Nuclear University

MEPhI (Moscow Engineering Physics Institute), Russia

Are IceCube

PeV neutrino events extraterrestrial

or can be of atmospheric origin?

Content

1. Introduction

2. IceCube results and other unusual events in CR

3. Possible explanation of a full set of unusual events

4. Conclusion

Vulcano 2014

Page 2: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

Introduction - 1Cascade showers with energies near PeV in IceCube

which could be induced only by neutrinos were observed.

PRL 111, 021103 (2013)

Page 3: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

Introduction - 2The flux of atmospheric neutrinos at such energies is

very small to observe such events.Science 342 (2013) 1242856

The difference is several tens times.

Page 4: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

IceCube Collaboration believes that these neutrinos are

extraterrestrial, since to explain observed events by

atmospheric neutrinos, it is necessary to increase their flux

at PeV energies in several tens times.

Is it possible? My answer is ‘yes’.

In principle, the observed neutrino events give an

additional contribution to a big list of unusual phenomena,

which is permanently increasing and is discussed many

years.

I would like to remind you that unusual events are

observed in other components of cosmic rays: hadrons,

muons and EAS in different experiments including IceCube.

Explanation

Page 5: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

List of unusual events

� In hadron experiments:

Halos,

Alignment,

Penetrating cascades,

Centauros.

� In muon experiments:

Excess of muon bundles,

Excess of VHE (~ 100 TeV) single muons.

Important: Unusual events appear at PeV energies of

primary particles.

� In EAS investigations:

Increase of the energy spectrum slope,�

Changes in Nµ/ N

e- ratio dependence.�

Page 6: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

Experiment Pamir

Page 7: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

1 mm

1 cm

1 mm

1 cm

a)

b)

no.108

no.383

no.386

no.586

no.295

no.403

no.420

no.539

1 mm

Halo and alignment

Page 8: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

Penetrating cascades

Total Energy = 257.79 [TeV]tan =1.0θ

66.4[TeV] 45.4[TeV]27.5[TeV]

40.3[TeV]

5.2[TeV]39.6[TeV]23.0[TeV]

10.4[TeV]

Depth [cmPb]

Darkness

0

1

Depth [cmPb]/cos θ

0 10 20 30 40 50 60

0 14 28 42 56 70 84

0.1

1

Page 9: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

ALEPH L3

130 m depth (Eµ> 70 GeV)

Hadron calorimeter, TPC

5 scintillator stations

100 m depth (Eµ> 50 GeV)

Hadron calorimeter, TPC, TOF

40 m depth (Eµ> 15 GeV)

Drift chambers, timing

scintillators, surface EAS array

LEP Detectors (CERN)

DELPHI

Page 10: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

C. Grupen et al., Nuclear Physics B (Proc. Suppl.) J. Abdallah et al., Astroparticle Physics 28 (2007) 273.

175-176 (2008) 286.

ALEPH DELPHI

Multi-muon events (muon bundles)

Page 11: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

General view of NEVOD-DECOR complex(Russian-Italian experiment)

Side SM: 8.4 m2 each

• σx ∼ 1 cm; σψ ∼ 1°

Coordinate-tracking

detector DECOR

(~115 m2)

Cherenkov water

detector NEVOD

(2000 m3)

Page 12: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

Date=05-05-03 06:11:04.043 Nevent=847205 fm=123.1 tm=79.7

Nlam=31,N5=30,N6=31,NR1=0 ,NR2=0

N1=30,N3=26 nCup= 3 SumAmp=5.57e+04 NGroup2=132

N2=30,N4=28 nCdown= 3 NPMT=175 ETel= 0.0% ERec= 49.7%

Muon bundle event (geometry reconstruction)

Page 13: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

Contribution of primary energies

at different zenith angles

105

106

107

108

109

1010

1011

0.0

0.2

0.4

0.6

0.8

1.0

1.2

78op78oFe65op

dF

/ d

(lg

E)

E0, GeV

35op

β = 2.0 D = 0.2 m - 2 QGSJET01

Wide angular interval – very wide range of primary energies !

Page 14: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

Low angles: around the “knee” θ = 50º : 1015 – 1017 eV

θ = 65º : 1016 – 1018 eV Large angles: around 1018 eV

0.01 0.1 1 10

10-4

10-3

β = 2.13 + 0.05

D 3

dF

/dD

, 1

/ (

s s

r m

4 )

D, m - 2

solid: QGSJET01

dashed: SIBYLL

1015 eV 1016 eV 1017 eV

Fe

p

35 o

β = 1.92 + 0.02

0.01 0.1 1 10

10-5

10-4

D 3

dF

/dD

, 1

/ (

s s

r m

4 )

D, m - 2

solid: QGSJET01

dashed: SIBYLL

1015 eV 1016 eV 1017 eV

Fe

p

50 o

β = 2.13 + 0.05

0.01 0.1 1 1010

-6

10-5

10-4

∆β = 0.20 + 0.09

β2 = 2.31 + 0.09

D 3

dF

/dD

, 1

/ (

s s

r m

4 )

D, m - 2

1016 eV 1017 eV 1018 eV

solid: QGSJET01

dashed: SIBYLL

Fe

p

65 o

β1 = 2.11 + 0.02

0.01 0.1 1 10

10-7

10-6

D 3

dF

/dD

, 1

/ (

s s

r m

4 )

D, m - 2

1017 eV 1018 eV 1019 eV

solid: QGSJET01

dashed: SIBYLL

Fe

p 78 o

β = 2.25 + 0.04

Page 15: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

Pierre Auger

Observatory

Area - 3000 km2

Number of detectors - 1600

Detector size - 12 m3

The distance between

detectors - 1500 m.

Page 16: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

Muons in Auger

Page 17: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

Baksan underground scintillation telescope

Page 18: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

Results of muon energy spectrum investigations

in Baksan Underground Scintillation Telescope (BUST)

Astroparticle Physics, 2012, 36, 224-236.

Page 19: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

Patrick Berghaus, Chen Xu, 32nd ICRC, 2011, Beijing

Muon energy spectrum - 2011

Page 20: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

The energy spectrum and composition of

primary cosmic rays according to EAS data

Page 21: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

What do we need to explain all unusual data?

Model of hadron interactions which gives:

1. Threshold behaviour (unusual events appear at

several PeV only).

2. Large cross section (to change EAS spectrum slope).

3. Large orbital momentum (alignment).

4. Large yield of VHE leptons (excess of VHE muons,

muon bundles, penetrating cascades).

5. The change of EAS development and, as

a consequence, increasing Nµ/ N

eratio.

Page 22: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

Possible variants

• Production of new heavy particles.

In this case geometrical cross-section will be very small.

• Production of blobs of quark-gluon plasma (QGP)

(possibly it is better to speak, in general, about

quark-gluon matter - QGM).

We consider the last model, since it allows

demonstrably explain the inclusion of new interaction

features, and with relatively big probability it is correct.

2, 1 mσ = πλ λ �

Page 23: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

Quark-gluon matter

1. Production of QGM provides two main conditions:

- threshold behavior, since for that high temperature

(energy) is required;

- large cross section, since the transition from

quark-quark interaction to some collective interaction

of many quarks occurs:

2 2Rσ = π →σ πD �

2. But for explanation of other observed phenomena a

large value of orbital angular momentum is required.

where R is a size of quark-gluon blob.

Page 24: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

Orbital angular momentum

in non-central ion-ion collisions

This momentum is increasing with energy .

Zuo-Tang Liang and Xin-Nian Wang,

PRL 94, 102301 (2005); 96, 039901 (2006)

L s�

Page 25: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

Total orbital angular momentum of the overlapping system in Au+Au

collisions at the RHIC energy as a function of the impact parameter b.

Jian-Hua Gao et al., Phys. Rev. C 77 (2008) 044902

The value of orbital angular momentum

Page 26: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

Centrifugal barrier

2 2( ) 2V L L mr=

1. A blob of a globally polarized QGM with large orbital

angular momentum can be considered as a usual

resonance with a large centrifugal barrier.

2. Centrifugal barrier will be large for

light quarks but less for top-quarks or other heavy

particles.

3. Though in interacting nuclei top-quarks are absent, the

suppression of decay into light quarks gives time for the

appearance of heavy quarks.

Page 27: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

Helicity separation in Heavy-Ion CollisionsMircea Baznat, Konstantin Gudima, Alexander Sorin and Oleg Teryaev

arXiv:1301.7003 [nucl-th]

Page 28: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

How interaction is changed

in frame of a new model?

1. Simultaneous interactions of many quarks change the

energy in the center of mass system drastically:

2. Produced -quarks take away energy GeV,

and taking into account fly-out energy εt> 4m

t≈ 700 GeV

in the center of mass system.

tt 2t tm 350ε > ≈

3. Decays of top-quarks:

W –bosons decay into leptons (~30%) and hadrons (~70%);

b → c → s → u with production of muons and neutrinos.

1 12 2

p cS m E m E= →

where mc ≈ nmN. At threshold energy, n ~ 4 (α - particle).

( ) ( ) ( )t t W W b b+ −

→ + ;

Page 29: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

-2 -1 0 1 2 3 4 5 6 7 810

-4

10-3

10-2

10-1

100

101

PYTHIA Elab

= 1017

eV νe

νµ

ντ

µ

dN/dlgE

lg(E, GeV)

-2 -1 0 1 2 3 4 5 6 7 810

-4

10-3

10-2

10-1

100

101

PYTHIA νe

νµ

ντ

µ

dN/dlgE

lg(E, GeV)

tt, Elab

= 1017

eV

Influence of top-quarks

on neutrino production

Page 30: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

1 2 3 4 5 6 710

-3

10-2

10-1

100

101

102

103

104

105

PYTHIA+CORSIKA

tt PYTHIA+CORSIKA

n-tt PYTHIA+CORSIKA

dN

µ/dlgE

µ

lg(Eµ, GeV)

E0 = 10

17

eV, H 1st int. = 26.7 km

Changes of lepton spectrum

Page 31: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

103

104

105

106

0.01

0.1

Frejus, 1994 Baksan, 1992

MACRO, 1995 MSU, 1994

LVD, 1998 Baikal (upper limit for γµ = 2.7), 2005

Artyomovsk, 1988 Baksan (pair meter technique), 2012

model 1 - usual µ from π, K

model 2 - usual µ + prompt µ (R = 10-3

)

model 3 - usual µ + prompt µ (R = 3*10-3

)

model 4 - usual µ + VHEµ

3d

Nµ/d

Eµ,

cm

-2 s

-1 s

r-1 G

eV

2

Eµ, GeV

1

2

3

4

103

104

105

106

0.01

0.1

Frejus, 1994 Baksan, 1992

MACRO, 1995 MSU, 1994

LVD, 1998 Baikal (upper limit for γµ = 2.7), 2005

Artyomovsk, 1988 Baksan (pair meter technique), 2012

IceCube, 2013 (PeV-Energy Neutrinos)

model 1 - usual µ from π, K

model 2 - usual µ + prompt µ (R = 10-3)

model 3 - usual µ + prompt µ (R = 3*10-3)

model 4 - usual µ + VHEµ

3dN

µ/d

Eµ,

cm

-2 s

-1 s

r-1 G

eV

2

Eµ, GeV

1

2

3

4

103

104

105

106

0.01

0.1

Frejus, 1994 Baksan, 1992

MACRO, 1995 MSU, 1994

LVD, 1998 Baikal (upper limit for γµ = 2.7), 2005

Artyomovsk, 1988 Baksan (pair meter technique), 2012

IceCube, 2013 (PeV-Energy Neutrinos)

model 1 - usual µ from π, K

model 2 - usual µ + prompt µ (R = 10-3)

model 3 - usual µ + prompt µ (R = 3*10-3)

model 4 - usual µ + VHEµ

3d

Nµ/d

Eµ,

cm

-2 s

-1 s

r-1 G

eV

2

Eµ, GeV

1

2

3

4

The curves correspond

to different spectrum

models:

1. Usual muon spectrum

from π-, K-decays in the

atmosphere.

2. Usual spectrum with

addition of prompt

muons at the level

of R = 1×10−3.

3. Usual spectrum with

addition of prompt

muons at the level

of R = 3×10−3.

4. Usual spectrum with

inclusion of VHE muons

(3.5×10−8 Eµ−2).

Differential muon energy spectra

Page 32: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

How to get the final conclusion in favour of new

approach at PeV energies directly in IceCube?

If neutrinos with PeV energies have atmospheric origin, the

muons with the same energies must exist.

Neutrinos can be astrophysical, but muons not!

How to measure muons with such energies?

There are two methods:

- detection of big cascade showers generated by

bremsstrahlung of muons;

- detection of consecutive small cascade showers generated by

pair production of muons.

Both techniques allow to evaluate muon energies

up to PeV region. I hope that this analysis will be done.

Page 33: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

Conclusion

The neutrino results of IceCube Collaboration can

be considered as confirmation of

extraterrestrial neutrino detection

or

new state of matter existence.

I do not know what is more important.

Page 34: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

Thank you for attention!

Page 35: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies
Page 36: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

Cosmic ray experiments • LHC energies 1-14 TeV correspond to the interval 1015 – 1017 eV in

laboratory system for pp-interactions.

• But in CR experiments:

- targets are nuclei of nitrogen and oxygen;

- most part of CRs are nuclei.

Thus in CRs we investigate mainly nucleus-nucleus interactions.

Particles Z <A>Energy per

nucleon

Energy per

nucleus

Protons 1 1 92 % 40 %

α – particles 2 4 7 % 21 %

Light nuclei 3 – 5 10 0.15 % 1 %

Medium nuclei 6 – 10 15 0.5 % 18 %

Heavy nuclei ≥11 32 0.15 % 18 %

Page 37: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

How to check the new approach

in LHC experiments?

There are several possibilities to check the new approach

in LHC experiments, since QGM with described characteristics

(excess of t-quarks, excess of VHE muons, sharp increasing of

missing energy, etc.) doubtless can be observed.

However these results unlikely can be obtained in

pp-interactions even at full energy 14 TeV, which corresponds

to 1017 eV in cosmic ray experiments (for pp-interaction), since

for that collisions of sufficiently heavy nuclei are required.

Apparently, some evidences of observation of the effects

predicted by new model were yet obtained in A-A interactions.

Page 38: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

ATLAS observes striking imbalance of jet energies in heavy ion collisions(CERN Courier, January/February 2011)

Highly asymmetric dijet event

Dijet asymmetry distributions

Page 39: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

How to explain the ATLAS result in

frame of the considered approach?

t→W + + b

In top-quark center-of-mass system:

Tb ~ 65 GeV, TW ~ 25 GeV.

If to take into account fly-out energy, Tb can be more

than 100 GeV.

In the case if b gives a jet and W→ ~ 20 π, the ATLAS experiment’s picture will be obtained.

Page 40: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies
Page 41: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

100

101

102

103

104

105

0

2

4

6

8

10

dN

ch/dη /

(0.5

<N

part>

)

√sNN

(GeV)

Page 42: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

100

101

102

103

104

105

0

2

4

6

8

10

dN

ch/dη /

(0.5

<N

part>

)

√sNN

(GeV)

Page 43: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

The remark about QGP blob size

In usual interpretation the experimental point

corresponds to √SNN= 2.76 TeV (for A-A interaction).

In frame of new model √SNNmust be larger.

If take into account that √SNNcannot be more than

√SNNfor pp-interaction it is possible to evaluate

number of nucleons in QGP blob.

50 TeV14

3.5 TeVNn < ≈

Page 44: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

Conclusion

If the considered approach to explanation of CR

results is correct, than in LHC experiments it is

necessary to search new physics in nucleus-nucleus

interactions, and, apparently, in collisions of light

nuclei (nitrogen, oxygen), for which the threshold

energies will be lower, but secondary particle

multiplicity is not so big as for heavy nuclei.

Page 45: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

How the CR energy spectrum is changed?

1. One part of t-quark energy gives the missing energy

(νe, ν

µ, ν

τ, µ), and another part changes EAS

development, especially its beginning, parameters of

which are not measured.

2. As a result, the measured EAS energy E2

will not be

equal to primary particle energy E1

and the measured

spectrum will be different from the primary spectrum.

3. Transition of particles from energy E1

to energy E2

gives a bump in the energy spectrum near the

threshold.

Page 46: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

1015

1016

1017

10-25

10-24

10-23

10-22

10-21

10-20

10-19

10-18

dN

/dE

, arb

. units

E, eV

1015

1016

1017

10-25

10-24

10-23

10-22

10-21

10-20

10-19

10-18

dN

/dE

, arb

. units

E, eV

1015

1016

1017

10-25

10-24

10-23

10-22

10-21

10-20

10-19

10-18

dN

/dE

, arb

. units

E, eV

Change of primary energy spectrum

Page 47: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

Measured spectra for some nuclei and

spectrum of all particles

1015

1016

1017

1018

1019

102

103

104

105

E2.7

dN

/dE

, G

eV1.7

m-2

s-1

sr-1

E, eV

All elements

H

He

CNO

NeMgSi

Fe

Page 48: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

Influence of energy straggling

1015

1016

1017

2x104

4x104

6x104

8x104

105

E2.7

dN

/dE

, G

eV1.7

m-2

s-1

sr-1

E, eV

measurement errors

0%

10%

20%

Page 49: Vulcano 2014 Are IceCube PeV neutrino events ... · PeV neutrino events extraterrestrial or can be of atmospheric origin? ... Vulcano 2014. Introduction -1 Cascade showers with energies

Comparison with experimental data (with 10% straggling)