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10−13

10−12

10−11

10−10

10−9

10−8

10−7

10−6

10−5

10−4

10−3

0 2 4 6 8 10 12 14 16 18

Depth (103

hg cm−2

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Inte

nsity

(cm

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sr−1

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Super−Kamiokande

Soudan 2Minos

IMB

HomestakeGran Sasso

Crouch World Survey, 1987Crookes and Rastin, 1973Bergamasco et al., 1971Stockel, 1969Castagnoli et al., 1965Avan and Avan, 1955Randall and Hazen, 1951Bollinger, 1950Clay and Van Gemert, 1939Wilson, 1938

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Super-KamiokandeRun 1003 Sub 1 Ev 165696-04-01:03:01:07 0001 4a5f c6c6

Inner: 7119 hits, 62259 pE

Outer: 112 hits, 155 pE (in-time)

Trigger ID: 0x03

D wall: 1690.0 cm

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Charge(pe) >26.723.3-26.720.2-23.317.3-20.214.7-17.312.2-14.710.0-12.2 8.0-10.0 6.2- 8.0 4.7- 6.2 3.3- 4.7 2.2- 3.3 1.3- 2.2 0.7- 1.3 0.2- 0.7 < 0.2

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Super-KamiokandeRun 1769 Sub 5 Ev 3407896-06-03:21:53:10 0023 fc1f 07fe

Inner: 0 hits, 0 pE

Outer: 0 hits, 0 pE (in-time)

Trigger ID: 0x0b

D wall: 1690.0 cm

Upward-Going Muon Mode

Charge(pe) >26.723.3-26.720.2-23.317.3-20.214.7-17.312.2-14.710.0-12.2 8.0-10.0 6.2- 8.0 4.7- 6.2 3.3- 4.7 2.2- 3.3 1.3- 2.2 0.7- 1.3 0.2- 0.7 < 0.2

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176

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Precision Fitter

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~ 0.4 evt/day

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~ 1500 evts/day

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RAW DATA

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Num

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Zenith vs Azimuth for stopping muons (641.4 days)

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Near-Horizon Distribution of Upward stopping Muons 27.65 / 17

P1 5.397 1.226

P2 2.942 0.1669

P3 45.78 2.060

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Near-Horizon Distribution of Observed Thru-going Muons 18.92 / 15

P1 14.74 1.517

P2 2.323 0.3442

P3 78.46 5.099

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cosΘ

Effe

ctiv

e A

rea

(m2 )

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1400

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cosΘ

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cien

cy

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Upstopmu Efficiency

cosΘ

Effi

cien

cy

0.9

0.95

1

1.05

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/ /

Path Length Resolution for upthrumusEntries

Mean

RMS

OVFLW

19724

41.94

55.36

109.0

|Reconstructed - Truth length| (cm)

No

of e

vent

s

0

1000

2000

3000

0 50 100 150 200 250 300 350 400 450 500

Path Length Resolution for upstopmusEntries

Mean

RMS

OVFLW

7066

58.73

67.71

113.0

|Reconstructed - Truth length| (cm)

No

of e

vent

s

0

200

400

600

0 50 100 150 200 250 300 350 400 450 500

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Thrugoing Muons

cos Θ

Flu

x (

10-1

3 cm

-2 s

-1 s

r-1)

0

1

2

3

4

5

-1 -0.8 -0.6 -0.4 -0.2 0

Stopping Muons

cos Θ

Flu

x (

10-1

3 cm

-2 s

-1 s

r-1)

0

0.2

0.4

0.6

0.8

1

1.2

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� # S-K Flux Limits of WIMP-induced Muons from Earth and Sun

Mass of Neutralino (GeV)

Flu

x of

upw

ard

muo

ns (

cm-2

sec

-1)

10-16

10-15

10-14

10-13

10-12

10-11

10-10

100 200 300 400 500 600 700 800 900 1000

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� # �

101

102

103

10−43

10−42

10−41

10−40

WIMP Mass (GeV)

WIM

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cle

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� # .

101

102

103

10−39

10−38

10−37

10−36

10−35

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WIM

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ton

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BATSE Trigger 8105

-10 0 10 20 30Seconds Since Trigger (000513 : 64253.177)

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Data (1679.6 days)M.C. without oscillationsM.C. with oscillations

Galactic latitude (in Degrees)

Num

ber

of E

vent

s

0

25

50

75

100

125

150

175

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225

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Upward stopmus in galactic coordinates

Data (1679.6 days)

M.C. w/o oscillations

M.C. with oscillations

Galactic latitude (in Degrees)

Num

ber

of E

vent

s

0

10

20

30

40

50

60

70

80

90

-80 -60 -40 -20 0 20 40 60 80

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Muon momentum

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reach 1%

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Without δ

Radiative losses

βγ0.001 0.01 0.1 1 10 100 1000 104 105 106

[MeV/c] [GeV/c]1001010.1 100101 100101

[TeV/c]

Anderson- Ziegler

Nuclear losses

Minimum ionization

Eµc

µ−

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W � W

Muon energy (GeV)

< d

E/d

X (

MeV

cm

2 g-1

) >

Average < dE/dX > from M.C.

Ionization LossRadiative Loss

Total Loss

1

10

10 2

1 10 102

103

104

105

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W ��\

pmtD

watD

pmt

PMT

= Angle between normal to PMT and photon travel direction

= Distance Travelled by light from photon emission point to PMT

= Distance from muon entry point to PMT.

θ

θ

D

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Muon Track

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Distance travelled by light (m)

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0

2

4

6

8

10

12

14

16

18

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log10(χ2)

No

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s

DataMonte-Carlo (no Osc)Monte-Carlo (Osc)

(∆m2 =0.002 sin2 2Θ =1.0)

100

200

300

400

500

600

700

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0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5

DataMonte-Carlo (no Osc)Monte-Carlo (Osc)

(∆m2 =0.002 sin2 2Θ =1.0)

[ mean qcorr - Q(L) ]

No

of e

vent

s

0

20

40

60

80

100

120

140

160

180

200

-4 -2 0 2 4 6 8 10

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! E �O 8 /0 � �3H+- I �!- T L"�$� E5E ! /5E ,K����G����3G - 6 & �3H P�& M � T � / L I H R � /#6 I�/0I YVG�� / F �3�$G7- I( �"-9GQG & 6ZO 8 �-9G &0P / L � � E

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0.2

0.4

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Non-showering

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0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

1 10 102

103

104

105

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! E �

Eµ (GeV)

dΦ/d

logE

µ( 1

0-13 c

m-2

s-1

sr-1

)

ShoweringNon-showeringStopping

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

10-1

1 10 102

103

104

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��G - 6 & � �"� P�& M � T � / L I H R � /#6 H / F I F & �$H T#/ - I�T M / G 6 -;MN� & \ 6 L /#I Gi- I ��� P - I M 8 / G$�3G 4/' ���h� / �$- P3/#I � L�G 8 - � � RS/ �KL O F & ��H ���$L T0/ - I�T & I HG 4/#O"O - I�T 6 L /#I G E����� ��� � ����� �� � � � � � � � � ����� � � � � � � ��� ��� ��� � � ���� �

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! E �Angular resolution of Showering thrumus

Angle between precision fit and truth fit

No

of e

vent

s

0

50

100

150

200

250

0 1 2 3 4 5 6 7 8 9 10

- T L"�$� E5E ! � � � I�T L 89& �hH�-9����M - /0I P � F ��� Ia ��� O �$�3M�-9G�- /#I �� & I H �$L"� �� H�-9����M - /0I G RS/ �L O F & ��H G$� / F ����- I�T 6 L /#I G & G 6 � & G�L��$�3H F - � & & $ \ � & � 8 /#I[ ��� & � 8 / G & 6ZO 8 � E ,K���G$� & H"��HW�"-9G $/#T � & 6 ��� O ����G$� I[ G � ��� /0R� ��� 4/0 &08 & ��� & & I H M / �$�$�3G O /#I H�G 4/�� ! � / � �

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! E=EAzimuth distribution of all showering muons

Φ (degrees)

No

of E

vent

s(1) (2) (1)

1

10

10 2

10 3

0 50 100 150 200 250 300 350

Zenith vs Azimuth for showering muons (641.4 days)

Φ (degrees)

cos

Θ

-1

-0.8

-0.6

-0.4

-0.2

0

0 50 100 150 200 250 300 350

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! E �Cut on top of tank and bottom

26.02 / 15

P1 1.761 0.7849

P2 1.642 0.7089

P3 66.55 10.80

cosΘ

Num

ber

of E

vent

s

Region (1) Φ < 60 , Φ > 240

Region (2) 60 < Φ < 240

10-1

1

10

10 2

10 3

-0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08

Cut on top of tank and bottom 23.38 / 15

P1 1.785 0.7645

P2 1.594 0.7109

P3 67.23 10.81

cosΘ

Num

ber

of E

vent

s

Region (1) Φ < 60 , Φ > 240

Region (2) 60 < Φ < 240

10-1

1

10

10 2

10 3

-0.1 -0.08 -0.06 -0.04 -0.02 0 0.02 0.04 0.06 0.08

- T L"�$� E5E ! E � � � & � YV� / �$- P�/#I[ &]8 H�-9G �$- P L - /#I /0R G$� / F ���$- I�TW6 L /#I G RS/ ��$ � ! � K � � � # � �$���$ � - I ��� ��- I & I H ��-9M � � / M � �$� T - /#I E ,K��� 8 � R 7O & I � 8 G�� / F G �"-9G�H�-9G ��- P L - /#I F - � / L ��� ���� �����������>M�L & I H �"�(�$- T � )O & I � 8 G�� / F G ��-;G)H�-9G ��- P L - /#I F - � ��� ��� �����������

M�L E � ������M�L G & �$�hG & 6 � & Gi- I� - T E & E EE

O � / P�&0P - 8 - \ -9G T - 1 � I P[\ �� _ .�� @ H���� � � � _ �� � : � � # � � � E5E����

F ������� � # � -9G �"�+� �3M - 1 �+M / 8 L 6+I H�� O" � ��� / L T � ���+� & � � & & T - 1 � I 8 - I � /]R G$- T � & I�T 8 � # �J �� -9G ��� I �3L ��- I�/ M�� / G$G YVG���M - /#I & & T - 1 � I � I ��� T \ :ZE ,K��� 6 � & I'R �$�3� O & � /0R &I ��L �$- I�/ P ��M /#6 ��G7� � L &08 4/ � & � ��� G7H�- & 6 � �3� & &]P / L J& $U, � + E , / � 1 &08 L & � ���i� ��M G/0R I �3L ��- I�/ &0P G / � O" - /#I F � & O"O 8 -;��H ��� I E E5E�� 4/ ��� &0898 G�� / F �3�$- I�T 8 /0IJ � � & � 8 / � 1 � I[ GL�G$- I�T ��� 1 &08 L��3G /0R ��+& I H � # � M /06ZO - 8 �3H<- I� � R E � ! � & ��E ,K�"-9G�-9GhG�� / F I - I - T E E E0/ $ E� G F �)M & I G���� ����� ��M G /0R &0P G / � O" - /#I & ��� I � T 8 - T - P�8 � RS/ � �"�)��- T ����G � I �3� T \ I ��L �$- I�/G & 6+O 8 ��- I � L O ��� Y � E

, /�O �3� RS/ � 6 / G�M�- 898j& - /0I & I &08;\ G$-;G F - �<L O F & �$H G$� / F ���$- I�T:6 L /#I G � F �'L�G$� �"�'G & 6 �H�� ��I - - /#I /0R � , & G'- I � �JI E & E � RS/ � ���$L T0/ - I�T<6 L /#I G & I H F - � �"� G & 6 � 1 &]8 L��3G RS/ � ��W& I H �� E ,K���3G$�+���$� / �$G & ���'M /#I G$��� 1 & - 1 � G$- I M�� &0P /21 � ! ,�� + � ���'����� / ��GU- I &0P G / 8 L �� L & & G F � 8987& G ��� � / �$- P�/#I[ &08 4/�1 �3� -9M &]8 � & - / M / L 8 H P � 6 L�M�� 8j& � T ��� � �=/�� E ,K��� P �3G

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! E �Without Background Subtraction

cos Θ

No

of e

vent

s

0

10

20

30

40

50

60

70

80

90

-1 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0

After Background Subtraction

cos Θ

No

of e

vent

s

0

10

20

30

40

50

60

70

80

90

-1 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0

- T L"�$� E5E ! � ��� � I - � & I�T 8 � H�-;G �$- P L - /#I /]R &08;8 � 1 � I[ G(-;H�� I[ - � ��H & GUL O F & ��H G$� / F ����- I�T6 L /#I G F - � / L P�& M � T � / L I H(G�L P � & M - /#I � 8 � R !O & I � 8 � & I H & R ��� P�& M � T � / L I H'G$L P � & M - /#I� �$- T � �O & I � 8 � - I � L O �3����� & 6 - / �]& I H�� E�� �1 &08 L�� /0R � , - I ���JI E & E�� RS/ � I L 898 Y / G�M�- 898j& - /0IZ/ M�M3L��$G & � , @ ! $�� E � RS/ � ! $+H E / E R F ��� IB @ �

$ � ! / E & I H�� @ $���$ ! � M / ���$�3G O /#I H�- I�T( 4/ M���-AYVG � L & �$� O � / P�&0P - 8 - \ /]R $ E�� �5E ,K� L"G ���P � I - � & I�T 8 � H�-;G �$- P L - /#IN/]R L O F & �$H'G$� / F ����- I�T=6 L /#I G & T ������G F � 898 F - � I L 898 Y / G�M�- 898j& - /0I E,K��� P �3G �" / M�M�L"�$G & � , @ � � � � M / �$�$�3G O /#I H�- I�Ta 4/ � H E / E R F �"� I ����� , / # @ $�� � / � �� f , @ $��%$ $ � / � � + , � B?@ $���$ /=/ & I H�� @ $��%$ � E ,K��� &08;8 / F �3H �$� T - /#I G & �$��G�� / F I - I - T E E5E0/ ! E � /0 � � & P �3M & L"G$� /]R �"� 89& � T � &0898 / F ��H �$� T - /0I G ��� P ��G �� NO / - I[ � & G I�/O � \ G�-9M &08 G�- T#I - � M & I M�� E � 8 G / R � /#6 �"�(H�- ����� I M3�(- I � � , P � F ��� I< ��� P ��G �� & I H I L 8;8/ G$M3- 8989& - /#I O / - I[ � /#I ��M /#I M 8 L�H��3G � & ( ��� ��� / P G���� 1 ��H � L &a-9G(M /#I G�-9G � I[ F - � I L 898 Y/ G$M3- 8989& - /#I & � �"E & � M E 8 E

��� ����� � � ����� ��� ��� � � � ���� � ��� � � � ������ ��� � � � � � "���� � �� � �

� / F � & 7 ���=L O F & ��H 6 L /#I H & & G$� � & G P ��� I G O 8 - - I[ $/ � M & � T#/ �$-9�3G � F � F / L 8 H 8 - � � 4/L�G$� ��� R L 8;8 O / F ��� /0R �"� � H & & G�� G F - � � I �3� T -;��G�G O & I�I - I"T � H��3M & H��3G E ,K���iM���-AYVG � L & �$�

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! � $

cos Θ

No

of e

vent

s

Monte-Carlo Data

0

10

20

30

40

50

60

70

80

90

-1 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0

- T L"�$� E5E ! � � � /#6+O & ��-9G /#I�/0R L O F & ��HWG�� / F �3�$- I"T 6 L /0I H & & & I HN8 /#I[ � � & � 8 / EH�� ��I - - /#I L�G$�3HW-;G �

� , @ #%$ ��� � � M ��� � � � � ���A@ #

�� ���� � �� �� � � M � # ! � � � # ! , � � ��� ��� � ! $'& - � � ��� �������� � � � � ��� , ��� � � � �� ��� ��� �� � � ! ��� ������� � � ��� #%$ � �� � ��� � ��

�A@ #�� ��� � � �� ���� � M � # ! � � � # !! � � # ! � # ! , � � ��� �� � ! $'& - � � �"� ������ � � � � � � � , ��� � � � �� ��� ��� �� � � ! �#� ���� �� � � ��

� #%$ � � � � ���A@ #

�� � �� � �� �� � � M � # ! � � � # !%$ � � # ! � # ! , � � ��� ��� � ! $'& - � � � �� ������ � � � � ��� , ��� � � � �� ��� ��� �� � � ! ��� ������& � � ��� � ��(' , � � $�() , � � ��+* , � � �(, ,

� E5E � �

B � D & I H � & �$� ��� G & 6 � & G - I ��� I G E & E � & I H & E � E ,K��� ��� 6 - - I � �JI E E5E � -;G& R ����� I�/ � 6 &08 - P & - /#I M /#I G & I[ �RS/ � ���<� & - / /]R &]P G / 8 L � � L & /0R G$� / F ����- I�T 4/ I�/0I YG$� / F ���$- I�T 6 L /#I G E ,K����L I M3��� & - IJ \ -9G`�3G - 6 & ��H PJ\ F �3- T � - I�T � & M��:G$� / F ���$- I�T & I HI�/#I Y G$� / F ���$- I�T�6 L /#I � 1 � I[ - I) ���(8 /#I[ � � & � 8 / P[\ � bb $

. $'& $*- E ,K����� & - / M�� & I�T ��G P[\ Y E�� 4/ � E E � � E -;G���G - 6 & �3H 4/ P � E5E � � E ,K�"� P ��G Y �" -;G / P & - I �3H F �"� I � , @ /=/ �%$ � RS/ �� $NH /]R & ��� � , / # @ $ � � � � � � f , @ $��%$ $ /=/ � � + , � B @�

$��%$ � � � D @�$��%$ � � � - @��

$��%$ / $ �

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! � !Showering Upthrumus

without effects of absorption with effects of absorption

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

-1 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0

- T L"�$� E E0/ $ � � -9G �$- P L - /#I+/0R G$� / F ���$- I�T L O F & �$H 6 L /#I 8 /#I[ � � & � 8 / F - � & I H F - � / L &0P G / � O" - /#I E

� @ $���$ $ � E ,K���<M / �$����G O /#I H�- I�T � , RS/ � I L 898 Y / G�M�- 898j& - /0I / M3M�L���G & � , @ & E � � RS/ � � $H /0R F ��� I B @ �

$�� / $ � � D @ �$ � � E#� � - @ $��%$ & � � � @ $ ��$ �� E ,K��� &0898 / F ��H �$� T - /#I - I

� � f , � ����� , / # � O & � & 6 � ���UG O & M�� F - � &]898 ��� � H & & G$� G(-;GNG�� / F I - I - T E E5E /=/5E ,K���� L & /0R L O F & �$HG$� / F ���$- I�T � I�/0I YVG�� / F �3�$- I"T & I HG 4/#O�O - I�T 6 L /0I GKL�G$- I�T &0898 � H & & G�� Gi-;GG$� / F I - I - T E E5E / & E ,K����M /#6ZO & �$-;G /#I /0R� ��� &]898 / F ��Ha��� T - /#I &08 /#I�T F - � ��� &08;8 / F ��H�$� T - /#I:/ P & - I ��H P[\ M /#6 P - I - I�T &08;8 ��� I �3L ��- I�/ H & & G�� G � - I M 8 L�H�- I�T M /#I[ & - I �3H:� 1 � I[ G �- I � L O ��� Y�� -;GKG$� / F I - I - T E E5E / �"E� ��� � � � # ��� � 6 � � � � � � � � #�� � � �� - I M3� F �U� & 1 ��-9G / 8j& ��H & ������- T ���3G � I ��� T \ H & & G�� F � F / L 8 H 8 - � � 4/ L�G�� ��-;G G & 6ZO 8 �RS/ � & G � /0O � \ G�-9M &08 G$� & �$M��"��G�G$- I M�� ��� & 46+/ G O ������-9M I ��L �$- I�/ P�& M � T � / L I H � F �"-9M�� RS/ 898 / F G& : M ('& � G O ��M �$L 6 � -9G�����H�L"M���H E � 8 G / F - � ��� ��- T ����G � I �3� T \ G & 6+O 8 � ��� & I"T L 8j& �

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! � /

cos Θ

Flu

x (

10-1

3 cm

-2 s

-1 s

r-1)

Observed FluxNull Oscillation ( α=-0.127, ε=0.019 )

∆m2 = 0.006 sin2 2Θ =1.00

(α=0.141, ε=0.005)

0

0.2

0.4

0.6

0.8

1

-1 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 010

-4

10-3

10-2

10-1

1

0 0.2 0.4 0.6 0.8 1

68%CL90%CL99%CL

sin22θ

∆m2 (

eV2 )

- T L���� E5E / ! � � G$M3- 8989& - /#I ����G�L 8 GiL"G$- I"T L O F & �$H G$� / F ����- I�TZ6 L /#I G EH�-9G 4/ � - /0I P � F �3� Ia6 L /#I & I H O & �$� I[ H"-9�$�3M - /#I -;G 1 ��� \ G 6 &0898 & I H -9G��3G - 6 & ��H $/ P ������ $'& ����

b� �� �� � ��� � � ! � ��� E ,K��-9G M & I &08 G / P �:G���� I - I - T E5E5E / � F �"���$� F �W� & 1 � O 8 /0 $ ��H

��� & I�T 8 � P � F ��� I< �$L"� I �3L ��- I�/ H�-9����M - /0I & I H �"�g�$�3M /#I G ��L�M ��H 6 L /#I H�-;�$�3M - /#I:RS/ �&0898 L O F & ��H G�� / F �3�$- I�T 6 L /#I G E ,K��� 6 � & I & I�T 8 �>-9G � / � ! � E � � F - 8;8 � \ $/ H / &0898& G � /#O � \ G$-;M &08 G�� & ��M�����GiH /#I �h- I O �$� 1 - / L�G�M�� & O" ��� F - � ��-9GKG�L P G & 6ZO 8 � E

����� ��� � � � � � �� � �� �� I 8;\ � � 8*�G F - � G � ��� $ $������ F - 8;8 6 & � � I ��L �$- I�/ GK� I ��� T � -;M�� I�/ L T � 4/'O � / H�L"M��L O F & ��H G$� / F ���$- I�T:6 L /#I G E ,K�JL�G R � /06 - T E �5E !�� F �'M & I G���� � & �6+/ G =/0RQ ��� � � 8W*G$- T0I &08 - I� ���hL O F & ��HWG�� / F �3�$- I"T 6 L /0I H & & G�� F - 8;8 M /06 � F - ��- I ! $'H�� T �$�3��G E ,K�JL�G F �8 / / � �3H RS/ � & I �'&5M3��G$Gg- I M /#I �3G F - � � &08 R Y & I�T 8 ��G ��� � � � �!& I H ! $ � & � / L I H �"�ZM3� I[ �3� /0R� & � � & I H � L I & I H�� &08j& M -;M � � I[ �3� E ,K��-9G7-9G7G$� / F I - I , &0P�8 � E E � E � G F ��M & I G���� ���3�$�-9G I�/ � &"M3��G�G�- I ���3G$�>M /#I ��G & I H ��� / P G$�3� 1 ��H H & & -;GZM /#I G$-;G � I[ F - � P�& M � T � / L I H E� � ��� I M &]8 M�L 8j& ��H �"� � $ � M E 8 E � L & 8 - 6 - U/0R � � 8W*!Y - I H�L"M���H L O F & �$H 6 L /#I G & G &R L I M - /#I /0R � � 8W* 6 & G$GUL�G$- I�TW �"� G & 6 �+�$�3M�- O � & Gg- I � ��M E �5E ! �5E � E�� M /#6+O & �$-;G /#I /0R

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! � �

10-4

10-3

10-2

10-1

1

0 0.2 0.4 0.6 0.8 1

68%CL90%CL99%CL

sin22θ

∆m2 (

eV2 )

- T L"�$� E5E � � � � 898 / F ��H �$� T - /0I G�L�G$- I�T L O F & �$H I"/#I YVG�� / F �3�$- I�T � L O F & �$H G $/#O�O - I�T & I HL O F & ��HWG�� / F �3�$- I"TZ6 L /#I G E

10-4

10-3

10-2

10-1

1

0 0.2 0.4 0.6 0.8 1

68%CL90%CL99%CL

sin22θ

∆m

2 (

eV

2)

99% CL

Allowed region

using all neutrinodatasets in SK

- T L"�$� E5E � � � � /06ZO & �$-9G /#I�/0R ��� &08;8 / F ��H��$� T - /0I G L�G$- I�T &0898 � M & � T#/ ��-9�3G /0R L O F & ��H 6 L /#I G&08 /#I"T F - � �"� � � � � � $ � ��& I H ��� � ��� &0898 / F �3H �$� T - /#I G � I � & � ��� & �$� / F � / P & - I �3H P[\H / - I"T+/ G$M�- 8989& - /#I & I &08j& \ G$-;GKL�G$- I�T &0898 ��� I ��L �$- I�/ H & & G$� G�- I � L O ��� Y�� E

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! ���Stopping Upmus

cos Θ

Flu

x (

10-1

3 cm

-2 s

-1 s

r-1)

Observed Flux

Null Oscillation (α=-0.203 ε=0.069 β = -0.37)

∆m2 = 2.29e-03 sin2 2Θ =0.986(α =-0.056 β = -0.09 ε = 0.009)

0

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2

-1 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0

Non-Showering Upmus

Observed Flux

Null Oscillation ( α=-0.203, ε=0.069)

∆m2 = 2.29e-03 sin2 2Θ =0.986(α =-0.056 ε = 0.009)

cos Θ

Flu

x (

10-1

3 cm

-2 s

-1 s

r-1)

0

0.5

1

1.5

2

2.5

3

-1 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0

Upward Showering Muons

Observed Flux

Null Oscillation ( α=-0.203, ε=0.069 γ = 0.05)

∆m2 = 2.29e-03 sin2 2Θ =0.986(α =-0.056 γ = -0.02 ε = 0.009)

cos Θ

Flu

x (

10-1

3 cm

-2 s

-1 s

r-1)

0

0.2

0.4

0.6

0.8

1

1.2

1.4

-1 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0

- T L"�$� E5E � � �� 8 L & /0R &0898 � M & � T#/ ��-9�3G /0R L O F & ��H 6 L /0I G $/#T � ����� F - � ��� P ��G Y �� F - �/ G$M3- 8989& - /#I G L�G$- I�T &0898 ��� � M & � T#/ ��-9�3G E ��� � L & 8 - 6 - G F - � /#I 8;\ G�� / F �3�$- I"T L O�6 L�G & G M /#6+O & ����H $/ &08;8 L O" �"�$L 6 L"G -9G7G$� / F I - I - T G E E5E � � � E E � E ��& I H E E � � RS/ � ��� � & � � � � L I & I H � &]8j& M -9M � � I[ �3������G O �3M - 1 � 8;\ E

����� ��� � � �� � ���:� ��� � ���� � �� �� � ��� I 8 /5/ � ��H RS/ � & I �'&5M��3G$G & � / L I H � &08j& M -;M 89& - L�H"� @ $ � $/ G$�3�`- R� ��-9G�G$L P G$� M /#6 ��GR � /#6 M / G 6 -9M+� & \ - I[ �3� & M - /0I GN- I ��� - IJ ����G � 8989& � 6 �3H�-9L 6 E�� G F � M & I G���� R � /#6 G$L�M��

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! ���Point-Spread Function for showering upthrumus

Entries

Mean

RMS

OVFLW

3129

2.184

2.052

4.000

Angle between µ fit and truth υ direction (°)

No

of e

vent

s

0

50

100

150

200

250

300

0 2 4 6 8 10 12 14 16 18 20

- T L"�$� E5E � � � * / - IJ Y � O �$� & H R L I M - /#I P � F ��� I I ��L �$- I�/ G & I H 6 L /#I G RS/ � �"�L O F & �$HG$� / F ���$- I�T G & 6+O 8 � E � � & H"��H & �$� & - I H�-9M & �3G � � � /0R� ��� 4/0 &08 & ��� & & I H -9GK� � L &08 4/ � � ! � E� & � � � L I � &]8j& M -9M � � I[ �3�

� /#I � � & & � & M � T � / L I H � & & � & M � T � / L I H � & & � & M � T � / L I H� � $ $ E ! $ $ E%� $ $ E����� $ $ E%� $ $ E � $ ! E �! $ � � � E � � � E ! � �5E��, &0P"8 � E5E � � � P G$�3� 1 �3H & I H'�'& O �3M ��H+L O F & ��HZG�� / F �3�$- I�Th6 L /#I GQ- I M /0I ��G F - �'� &08 R Y & I�T 8 ��G� � � � � & I H ! $ � & � / L I H � L I � � & � � & I H � &08j& M -;M6� � I[ ��� E

- T E E5E � � � I�/ G & -;G -9M &]898;\ G�- T#I - � M & IJ � &5M���G�G F & G�G$�3� I & � / L I H � @ $ � E

����� � � � ����� � � �� � � � � ��� ��� � ���� � �� �� / � � G & I H � �� G F �3�$��G$�3� I F - ��- I 5 ! H & \ F - I H / F & I H � # @ � � & � / L I H & I \/0RK ���ZG$� / F ����- I�T L O"6 L�G E � G �[\ 6 & O /0R &0898 G$� / F ����- I�T L O�6 L�GN-9GUG$� / F I - I - T E E E�� $ E� � & ��M�����GQL"G$- I"T & I�T L 8j& � M 8 L�G ���$- I�T & G F � 898"& G R � /#6 G$� 8 ��M �3H O / - I[ G / L��$M3��GQ� & G P ��� I H /#I �F - �L O F & �$H>G�� / F �3�$- I"T 6 L /#I G�� ! � � � E � / � 1 -;H�� I M3� RS/ � O / - I[ G / L��$M3��G F & G=G���� I - I: ��-;G

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! � �

Super-K (all upthrumus)Super-K (showering upthrumus)

Mass of Neutralino (GeV)

Lim

its o

n W

IMP

-indu

ced

upw

ard

muo

ns (

cm-2

sec

-1)

10-16

10-15

10-14

10-13

10-12

10-11

10 102

103

104

- T L"�$� E5E � � � � � 8W*!Y - I H�L"M���H�L O F & ��H 6 L /#I � L & 8 - 6 - G R � /#6 � & � �ZL�G$- I�Tg/0I 8;\ L O F & �$HG$� / F ���$- I�T 6 L /#I G & I H &08;8 L O" ���$L 6 L /#I G E

H & & G$� E,K�JL�G F ��M /#I M 8 L�H"� � & �������=-;G I"/ � 1 -;H�� I M3� RS/ � & G � /0O � \ G�-9M &08 G / L���M���G - I ����G$� / F Y

���$- I�T L O F & �$H 6 L /#I H & & G$� E

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! � E

Super-K (all upthrumus)Super-K (showering upthrumus)

Mass of Neutralino (GeV)

Lim

its o

n W

IMP

-indu

ced

upw

ard

muo

ns (

cm-2

sec

-1)

10-16

10-15

10-14

10-13

10-12

10-11

10 102

103

104

- T L"�$� E5E � E � � � 8* Y - I H"L�M��3HgL O F & �$H 6 L /#I � L & 8 - 6 - G R � /#6 ��� � L I L�G�- I�T�/#I 8 \ L O F & �$HG$� / F ���$- I�T 6 L /#I G & I H &08;8 L O" ���$L 6 L /#I G E

Super-K (all upthrumus)Super-K (showering upthrumus)

Mass of Neutralino (GeV)

Lim

its o

n W

IMP

-indu

ced

upw

ard

muo

ns (

cm-2

sec

-1)

10-16

10-15

10-14

10-13

10-12

10-11

10 102

103

104

- T L"�$� E5E � � � � � 8W*!Y - I H�L"M���H+L O F & �$H 6 L /#I � L & 8 - 6 - G R � /06 ��� � &]8j& M -9M � � I[ ����L�G$- I�T/#I 8;\ L O F & �$HWG�� / F �3�$- I�T 6 L /#I G & I H &08;8 L O" ���$L 6 L /#I G E

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! � �

Upward showering muons in galactic coordinates

Data (1679.6 days)M.C. (no oscillations)M.C. with oscillations

Galactic latitude (in Degrees)

Num

ber

of E

vent

s

0

10

20

30

40

50

60

70

80

-80 -60 -40 -20 0 20 40 60 80

- T L��$� E5E � � � � &]8j& M -9M 8j& - L"H��)H�-;G ��- P L - /0I /0R L O F & ��HG�� / F �3�$- I"T 6 L /0I G E

- T L"�$� E5E%� $ � ��� L & 4/ ��- &08 M / / �$H"- I & ��G /0R &08;8 L O F & �$H G$� / F ����- I�T�6 L /#I G - I � L O �3���� & 6 - / � & I H�� E - T � & G$M3� I G�- /#I -9GK- I � / L���G & I HH"��M 8 - I & - /0I -9GK- I H"� T ������G E

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! � �

0

10

20

30

40

50

2 3 4 5 6 7 8 9 10

OVFLW 0.000

Eµ = 10 Gev

∆E/∆X (MeV/cm)

No.

of E

vent

s

OVFLW 0.000

Eµ = 20 Gev

∆E/∆X (MeV/cm)

No.

of E

vent

s

05

1015202530354045

2 3 4 5 6 7 8 9 10

05

10152025303540

2 3 4 5 6 7 8 9 10

OVFLW 0.000

Eµ = 50 Gev

∆E/∆X (MeV/cm)

No.

of E

vent

s

OVFLW 0.000

Eµ = 100 Gev

∆E/∆X (MeV/cm)

No.

of E

vent

s

05

101520253035

2 3 4 5 6 7 8 9 10

0

5

10

15

20

25

2 3 4 5 6 7 8 9 10

OVFLW 0.000

Eµ = 200Gev

∆E/∆X (MeV/cm)

No.

of E

vent

s

OVFLW 4.000

Eµ = 500Gev

∆E/∆X (MeV/cm)

No.

of E

vent

s

02468

10121416

2 3 4 5 6 7 8 9 10

02468

101214

2 3 4 5 6 7 8 9 10

OVFLW 5.000

Eµ = 1000Gev

∆E/∆X (MeV/cm)

No.

of E

vent

s

OVFLW 15.00

Eµ = 2000Gev

∆E/∆X (MeV/cm)

No.

of E

vent

s

01234567

2 3 4 5 6 7 8 9 10

01234567

2 3 4 5 6 7 8 9 10

OVFLW 31.00

Eµ=5000Gev

∆E/∆X (MeV/cm)

No.

of E

vent

s

OVFLW 54.00

Eµ=10000Gev

∆E/∆X (MeV/cm)

No.

of E

vent

s

0

1

2

3

4

5

2 3 4 5 6 7 8 9 10

- T L"�$� E E�� ! � �cb��� H�-;G �$- P L - /#I+RS/ � 6 L /#I 8 /#I[ � � & � 8 / � 1 � I[ G & `1 & ��- / L�G 6 L /#I � I �3� T -;��GR � /#6 � $ ����� $/ ! $=, ��� E ,K���KH & G�����H 8 - I �7- I � & M�� O 8 /] �$� O �$�3G$� IJ G ��� ���$�3G$� / 8 H'L�G$�3H 4/G$� O & � & �=G�� / F �3�$- I"T & I H I�/#I Y G$� / F ���$- I�Tg6 L /#I � 1 � IJ G F ��-;M�� M / �$�$�3G O /#I H�G 4/

�cb��� @ � � ���8��� � M 6 E

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! � $

Super-KamiokandeRun 2101 Sub 3 Ev 1523996-07-05:01:46:37 0013 dee4 0606

Inner: 10877 hits, 191405 pE

Outer: 249 hits, 863 pE (in-time)

Trigger ID: 0x0b

D wall: 1690.0 cm

Upward-Going Muon Mode

Charge(pe) >26.723.3-26.720.2-23.317.3-20.214.7-17.312.2-14.710.0-12.2 8.0-10.0 6.2- 8.0 4.7- 6.2 3.3- 4.7 2.2- 3.3 1.3- 2.2 0.7- 1.3 0.2- 0.7 < 0.2

0 500 1000 1500 20000

400

800

1200

1600

2000

0 500 1000 1500 20000

400

800

1200

1600

2000

Times (ns)

- T L��$� E E�� � � �Q1 � I[ H�-9G O 8j& \ /0R & I L O F & �$HG$� / F ���$- I�T+6 L /#I E

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