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Page 1: l R'OK0A`Zonline.kitp.ucsb.edu/online/neutrino-c03/parke/pdf/Parke.pdf · Î Ï ÐÒÑ4ÓÕÔÂÖ × ÏØÔÂÙ Ú0Û Ü u Q'A a%KNI uÝZ Z~KNw @

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Page 4: l R'OK0A`Zonline.kitp.ucsb.edu/online/neutrino-c03/parke/pdf/Parke.pdf · Î Ï ÐÒÑ4ÓÕÔÂÖ × ÏØÔÂÙ Ú0Û Ü u Q'A a%KNI uÝZ Z~KNw @

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Page 5: l R'OK0A`Zonline.kitp.ucsb.edu/online/neutrino-c03/parke/pdf/Parke.pdf · Î Ï ÐÒÑ4ÓÕÔÂÖ × ÏØÔÂÙ Ú0Û Ü u Q'A a%KNI uÝZ Z~KNw @

k l _�W<@�A�QHO+Z nÕRNs � � � � �@BA � � CD � A ß E� ßGF éIHKJMLNPORQSUT �H�� VXW LNPOZY[]\

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v w]x y{z]|P}~x4���4��x ����y��2�P����|����� � � ����� ��� � ��������|�� � ��x�� � |P��}Kx Ü�� � � � � } ¡ �� ¢£ � } ¤¦¥ § ¤©¨ � � ª�}«�¬� ­ ���®����� � �Z���]¯ � � ����� ��� �°¯ z � � ±� ²M³ ´² � µ·¶ ¸U¹»º¥½¼ ¨7¾ ¶4¿¥½¼ ¨ µ � À Ü �K�°¯�Á � ¡ �K�°¯ ©Á]à ¡ Ä ² ¿ ¢ �� µ ² Å ´² µ À Æ ² ¿ �~��¯�Á � ¡ �~��¯ ©Áhà ¡� ² ¾ ´² À ÂÇ�~��¯ � Á � ¡ �K�°¯ � ©Á à ¡ ¾  ² ¿

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Page 7: l R'OK0A`Zonline.kitp.ucsb.edu/online/neutrino-c03/parke/pdf/Parke.pdf · Î Ï ÐÒÑ4ÓÕÔÂÖ × ÏØÔÂÙ Ú0Û Ü u Q'A a%KNI uÝZ Z~KNw @

­ ���P����� � �����]¯ ê ��ëhw�����ë]w]�«�ʱv �ì�«w �«w�}�|Ê| ¯�|��4��}���¯��]�B��| � � ¯ � �Ê�®|����ʱí�j��� �Ø× � î�«w�}�|Ê| � �ï���°¯�ë � ¯�ë½��|�� î Á � ¯�� �]¯�| ð È �ñ} ò z4���ñ� � �Z��¯�ëó w � �K| î � ôõ÷ö�øù äçæ øûú¬ø;úåüþýjÿ æ�� ú ä���� ø�� ü ÿ� ä� ä æ ü ����� � ø � ü ��� ú¬ø���� ü ��������� ü � úä�� � ����� øÿ � ä ú ������� ü � ü�ü���� ü�� ÿ úåü�ýjÿ æ � ú ä!� ü ���#" ä ý ��� ü � ü ÿ ø " ü$� ø�% �'&� ò � ­ ( È ê y*) +~ð ±µ·�Ø× �¸U¹ º µ � Â-,/. 0 Ñ2143 ¡25�6 ��~��¯ �  Á � ¡ À Ñ , 1 Á � ¡ 7 � 8 � Æ .#9 µ;: ¥ ¡ µ � À Ã�(�­ <:� ) ± < � ��X× �¿ � ¾ = 0 Ñ>1?3A@ 5�6 ��~��¯ �  Á à � � 1 ,/BC. Á à � 7 � D � ÒE1 9 µF: ¨ � µ � À Ã8) y�� ð�ò ­ ) ± Ü ðBw�� �EG ¢�~��¯ �  Á]à ¡ H 1 , Ñ Áhà ¡ H ��JI � K 9 µF: ¨ ¡ µ � H Â?,L.CM<ONP< y*Q yR) S +jyT( � Q U N^� ( yR<V+WQ yP(�±X Y�ZP[\^] � 1 ,/_ S |a` b c�ed @gfih j Û Ü º Ý kelnm�po @�q à Isr àutwv Ý áX xuy ] z\^] � Ñ ,/. S |{` b c| ¡ � fih j Û Ü º^Ý kJl�m�io @�q à Isr àPtwv Ý áyЯ2|P}�ë½��|�� 7 ÒC1 M w���ë]w�|P} � }�| 1 ô B � ¯"�  ô 1 S |a` }�|�� ó ô

Page 8: l R'OK0A`Zonline.kitp.ucsb.edu/online/neutrino-c03/parke/pdf/Parke.pdf · Î Ï ÐÒÑ4ÓÕÔÂÖ × ÏØÔÂÙ Ú0Û Ü u Q'A a%KNI uÝZ Z~KNw @

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Page 9: l R'OK0A`Zonline.kitp.ucsb.edu/online/neutrino-c03/parke/pdf/Parke.pdf · Î Ï ÐÒÑ4ÓÕÔÂÖ × ÏØÔÂÙ Ú0Û Ü u Q'A a%KNI uÝZ Z~KNw @

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Det. 2

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Det. 1

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T+, sin22θ13 = 0.0427 (lower)

T−, sin22θ13 = 0.0575 (upper)

T−, sin22θ13 = 0.0490 (lower)

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0P(ν) (%)

0.0

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1.0

1.5

2.0

2.5

3.0

3.5

4.0

T[P

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(%)

L = 130 km, E = 250 MeV

no solution

no solution

Page 18: l R'OK0A`Zonline.kitp.ucsb.edu/online/neutrino-c03/parke/pdf/Parke.pdf · Î Ï ÐÒÑ4ÓÕÔÂÖ × ÏØÔÂÙ Ú0Û Ü u Q'A a%KNI uÝZ Z~KNw @

¢ £*¤�£*¥ ¦¨§©¦O¤ ¦Oªu¦ Í ¦O¤�£�« Ì ¦ Ë­¬®°¯ ® 5ãåä��!��� ü�� � �n��� ö � ú¬ø�û�øÿ°ø!ü#ý¦ý�ú ä û�ø��Øø �«è ø æ�� ü æ ü]ö�ø æ � ø�ÿ � øwü ��� � ú¬ø úpÿ �è ý æ�� ýåü ÿ ö �Øø � ÿ�ü ��� ü��]ø�� ü � ø!ü�� ä! ü ö � ø " ü�ú¬ø � ü� Øü æ ú¬ø ú " ü��»ühö;ü�ú¬ø � ©ý � ü æ ü�� � ú " úåü æ ü � úûÿ�ü æ�� ö � ú¬ø�û�øÿ°ø!ü#ý¦ý�ú ä û�ø��Øø!ü#�Öø æ û�ü� ·¹¸�º°Ê ½ � ·¹¸»º ½�� µ � Å°Âùº� ����� � ��� � ë ! " ½ ´ # $ "&% ')(+* �-, # . /-02143657# 8 9:8 ; :<�= > :<�? 5 @ ! A&%4B C $ AD% ')(+* ; , C . /-021E3657# 8 9F G�HJI-H KMLONQP�RSNUTWVYXYZ\[^]YV_Ta`b`cTWV)[�`edNQfW`�ghJi�jU]�gLlk�monQprq�mQs�KMtomomQsvuwux y z { |~}}U� � � ��&� }��U��� }D� � �� ���� y z ����� � } | � } � }S� | }U� � � � }��� � � � �� � �U��� � ���� � ����� � � �� ���� z � }}U� �U��� } �O� � } � � � }��� � } ����� }&� ���� ��� � y z � � x y ���� ���¡  ¢¤£+¥ t¦¨§ ¢ª©}¬« ­ � y   ®¯� � � � ��� ® ­ � z ° ��±7²6³ ´eµ¶ · G¸H ¹ º¼» ½�I�H ¾U¿ÁÀ�ÂÄÃŽ�Æ_Æ�¿ ÇÉÈ�ÇÊIrË�HÌI Í Î Ï¶ ½ÊÐ�Ë ¾rG�H Ñ º�»DÇ2È�ÇÊIÒË�HJI Ó ÔÕ×Ö¶ · G�Ø�» Ù tÚ Û Ü�Ý¼Ü Í Þ (àß áãâåä�æ\ä æ\çèä éëêíìãîðï�ä+ñåñvñò È�ÇÊI óôDõ ó�ö ÂÄÐ�¾�HJIÒÃ÷Gð½ÊÐ�øÉH ù Õ-ú ½ÊÐ�Ë û Õ-ú ü

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ý ÇÉÆÄØÁ¾�Â_Ç�Ð ¾�Ç ¾rG¸Hl»×H HOþÿØ�½ ¾ÒÂwÇ�Ð�»���Âwø�иÇÊI-ÂÄÐ�ø ¾�HJI�� »DÇÉÈ� ��� t� � � � � �� � � � � �Ï � � ÃeÇ�» ��� � Ô úÏ

�� � � � � � ���Ï � � ÃeÇ�» � � � Ô úÏ Ý· G¸H ÆĽʻ¬¾&Hlþ�Ø�½�ÆwÂY¾S¿ ø2Â���HO»�Ø�» ½ÊÐ HOþÿØ�½ ¾ÒÂwÇ�Ð ÇÉÈ�¾rG�H È�ÇÊI��ò������ ü »× Р��� ò������ ü ÃÌÇ�»�� ò������ üF G� Ã~G ÃŽÊÐ àH Ø�» HOË ¾ÒÇ »×ÇÉÆ���H ÈWÇÊI �"!$# ¾ ÂÄÐ%��ÇÉÆ&��Hl» ½Ó ò������ ü F G¸Â Ã÷G øÉÂ&��Hl» Ø�» ¾SF Ç » Ç2Æ ØÁ¾ÒÂwÇ�Ð�» ½ÊÐ�Ë » H̾׾�ÂÄÐ�ø¾rG¸Â » »�þÿØ�½�I�H I-ÇÿǾ ¾ÒÇ 'ÅHÌI�Ç øÉÂ&��Hl» Ø�»�¾rG�H àÇ�Ø�Ð�Ë�½�I׿ ÇÉȾrG¸H ½ÆwÆwÇ�F HOË I-HÅøÉÂwÇ�Ð(!

%*)�* îðï�ä æ ç ä,+ (.- æ�î0/1+ ä32 -54*Oì*- *Jæ6/ æ ì æ7/v(8+:9¶ ý Ç F7ÂY¾rG Ï » Â_ø�Ð�» ÇÉÈ;�6< Õ¶ ½ÊÐ�Ë Ï À+Ç�»-»×Â= �ÂwÆwÂY¾�Â_Hl» ÈWÇÊI »×Â Ð Õ Õ-ú¶ F H Gð½���H  РøÉHOÐ�HÌIc½�Æ > *O(6âvì æ7/å(8+è* !

? ò A@ � CB üò A@ � CB ü F G�ÂÄÃ÷G  »&¾ÒÇ àH ÃÌÇ%� À�½�I-HOË F ÂY¾rGDFE G GIH J GLKNMPO GRQSDUTWV KXGZYN[\V^] D_MP[\Q `

Page 20: l R'OK0A`Zonline.kitp.ucsb.edu/online/neutrino-c03/parke/pdf/Parke.pdf · Î Ï ÐÒÑ4ÓÕÔÂÖ × ÏØÔÂÙ Ú0Û Ü u Q'A a%KNI uÝZ Z~KNw @

� � a ? ò @ � B üò @ � B ü `

0.0

0.5

1.0

1.5

2.0

2.5

3.0

3.5

4.0

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.50.0

0.5

1.0

1.5

2.0

2.5

3.0

3.5

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

P(ν) (%)

CP

[P(ν

)] (%

)

∆θ/θ (%) for L =295 km, E = 1 GeV

(a) (∆θ/θ)12

0

0

3

3

5

5

7

6

8

0

−1

(c) (∆θ/θ)13

−3

3

3

3

5

4

6

7

8

no solution

(d) (∆θ/θ)14

1

no solution

3

35

56

7

8

(b) (∆θ/θ)34

no solution

no solution

no solution

no solution

no solution

no solution

0

0

910

1215

910

1215

910

1215

CP(+)

CP(+)

CP(−)

CP(−)

0.05

0.02

0.05

0.02

¶ �A< Õ Ô Õ b c Í Ü"dIe ò ½f +Çg��H ü Í c Í Ü"d0h ò àHJÆ_ÇOF ü HCi Õ

0.0

0.5

1.0

1.5

2.0

2.5

3.0

3.5

4.0

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.50.0

0.5

1.0

1.5

2.0

2.5

3.0

3.5

0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

P(ν) (%)

CP

[P(ν

)] (%

)

∆θ/θ (%) for L =295 km, E = 1 GeV

(a) (∆θ/θ)12

0

20

0

10

CP(+)

CP(+)

0

(c) (∆θ/θ)13

10

3

12

1

20

25

17

6

15

6

no solution

(d) (∆θ/θ)14

−1

no solution

15

13

10

10

20

25

13

(b) (∆θ/θ)34

no solution

no solution

no solution

no solution

no solution

no solution

0

0

CP(−)

CP(−)

5−2−3

10

15

2

−5

7

7

12

7

7

12

25

0.05

0.02

0.05

0.02

Page 21: l R'OK0A`Zonline.kitp.ucsb.edu/online/neutrino-c03/parke/pdf/Parke.pdf · Î Ï ÐÒÑ4ÓÕÔÂÖ × ÏØÔÂÙ Ú0Û Ü u Q'A a%KNI uÝZ Z~KNw @

YjM^Q Ï ?lk Ïnm ojp q TWV^M^Q r\s t¶ u »× иø » ÂÄÐ Õ Ï Õ-ú Ü�Ýwvnx y z ò Ü Ý y ü z ò Ü Ý{x ü}|����� } �O��~ ���� �

�U��� } �O��~ } �� �� �U��� } � }S� �U��� } �O� � � � ����� } � ~ ���}S� z ��� � � �U��� } � ~ } �}U� z �g� �� µ � � � µ � ��� � � µ �%���6�� µ � � � µ �A� ��� � µ �Å{,�C�� µ �A� � µ ��� ��� � µ �7� ����A����� ���l�����~�

#SÈ »×Â Ð Õ Ï Õ-ú � Í ¾rG¸HlÐ ¾UF Ç »×ÇÉÆÄØÁ¾�Â_Ç�Ð ÈWÇÉI Ô ú½�I-H I�HJÆĽ�¾�HlË )¿ %5� B��/×0 � ���w�R� ~ ���}S����w�R� ~ } �}S� %5� / �/-0¶ ��  ½Êà ¾ ½ ¾ ¡ »-ÃÌÂwÆwÆ ½ ¾�Â_Ç�Ð ¢ ½   £� Øj� |¤ ��¥ �¦���j§¨��©ª©��«§�¬Q�W��¬­�g¬��%�®©¯�÷�%�®©ª°\�±�~� µ

Page 22: l R'OK0A`Zonline.kitp.ucsb.edu/online/neutrino-c03/parke/pdf/Parke.pdf · Î Ï ÐÒÑ4ÓÕÔÂÖ × ÏØÔÂÙ Ú0Û Ü u Q'A a%KNI uÝZ Z~KNw @

² ý ÇÉÆÄØÁ¾�Â_Ç�Ð |¶ î�æ ³ ´�µ,/åâåâ�î�æ7/1¶8+ · º/åß ìèß 2 ä�æ ä�ï\ß /1+ äU»

? YjM^Q k Ïnm YjM^Q k ͦm? q [¼Y k Ͻm YjM^Q ¾

� �%� ���®¿À�÷�Á���÷�Á§¨� �\� §¨�\�" ��¬ÄÃÄÅ �¶ Æ æ î_+;¶�æ ç ä�ï Ç È_É 2 ä�æ ä�ï\ß /1+èäU»? q [¼Y k Ͻm q [\Y ¾

Ê�ËfÌ ��©�Í�Î%° ¬��%�:�=�¦Ïª¬$¬Ñк� °AÍÓÒA�«Ï�§¨�AÏ�Ô_Õ ÔªÖ ©��«¥ �}¥ ×À�®©�к�¼�AÎ%�ÓØ�,�}ÒA�\¬�� �ÁÍ�Ϫ¬�Í�Î%° Ì Í�Ï�� ×"�¨¬�к�®�}Î Ù ��©­Ú ��� �

k ͦmZÛ k Ͻm TÜQ Ý ¾¢ Þ�ßÀà8á âªãÄä åPáCâ¨å¼änæºåPänç£èÀâêéëä%ì åíé£ìjîCá ï¹éëáñð®Þ7ð�î}ï%ß ò Þ�ßì¹ä�â à8á ó¹áñâêáñð¨ò é£ì¹á¦ó(ôlõ"á�á ön÷ ø ù ú è¹û üÄì¹áCý"â¦þ

ÿ�� õjõ"ü������ ÷ ��� ÿ ø� � û ì¹á¦èÀâêð^é£ì¹änç=ágå^å ó¹ä%è¹àjçëá � � ó¹ágî�Þ�ß � ágÞnî�âêänð�å�ô ���� õ ���� ú è øUÞ½î�â�ä½ðíßIô ��� õ ���

Page 23: l R'OK0A`Zonline.kitp.ucsb.edu/online/neutrino-c03/parke/pdf/Parke.pdf · Î Ï ÐÒÑ4ÓÕÔÂÖ × ÏØÔÂÙ Ú0Û Ü u Q'A a%KNI uÝZ Z~KNw @

��� ���� � � � �� � ! "$#�� #�%'&)(�*,+-&/. 0

13254765894;:=<>2547?@2BADCE2F:�GIH-CKJDL-2MLNA=HO89P�QRPSHSTVUMWYXZUV[�WN\]�^-_S894;:/`aCbL-cSLO894;:�GdCbL5Ae894fHO8gP�Q7PSHSTBUMWYX5XghNU5U<>CbL-25ij2BAD2F:/k�^lLOmMiB2Zno2M:/pq254riV8sHO89P�QRPSHSTVUNh5U-X9WYXZU tvu w x y{z}|�~o�B���)� � x z�� � � ��|�����x y{z�|�~o�j���)�

0 1 2 3 4 5 6JHF P(νµ → νe) [%]

0

1

2

3

4

5

6

Nu

MI P

(νµ

→ ν

e) [

%]

∆m2

13 > 0

∆m2

13 < 0

EJHF = 0.8 GeVENuMI = 1.5 GeV

õ3é ò é=ç Þ7ð â�ä ön÷ ø � ú è¹û üS� � � ön÷ ø � ú è¹û ü�� ��

Page 24: l R'OK0A`Zonline.kitp.ucsb.edu/online/neutrino-c03/parke/pdf/Parke.pdf · Î Ï ÐÒÑ4ÓÕÔÂÖ × ÏØÔÂÙ Ú0Û Ü u Q'A a%KNI uÝZ Z~KNw @

0

1

2

3

4

5

6

∆m2

13 > 0

∆m2

13 < 0

0 1 2 3 4 50

1

2

3

4

5

0 1 2 3 4 5 6

JHF P(νµ→νe) [%]

NuM

I P(ν

µ→ν e)

[%

] JHF neutrino vs. NuMI anti−neutrino

(d)

(a)

EJHF = 0.6 GeVENuMI = 1.5 GeV

EJHF = 0.6 GeVENuMI = 2.0 GeV

(b)

ENuMI = 2.0 GeVEJHF = 0.8 GeV

(c)

ENuMI = 1.5 GeVEJHF = 0.8 GeV

sin22θ13 = 0.09

0.05

0.02

� é óXâ¨ï änæLâ¨ïNá � ée�ÁÞ7ð�å�ô ������� �� � ����� �� ���$�

õ3é£ìjîCá �¡  ï�Þ�ù%á 䣢¤¢Uä%åíé&âêá åPér�%ì ú � î�ÞnìjîCá�ç=ç£Þ7âêé=äÁì þ

Page 25: l R'OK0A`Zonline.kitp.ucsb.edu/online/neutrino-c03/parke/pdf/Parke.pdf · Î Ï ÐÒÑ4ÓÕÔÂÖ × ÏØÔÂÙ Ú0Û Ü u Q'A a%KNI uÝZ Z~KNw @

tvu w x y{z}|�~o�B���)� � x z�� � x y{z�|�~o�j���)�

0 1 2 3 4 5 6JHF P(νµ → νe) [%]

0

1

2

3

4

5

6N

uM

I P(ν

µ →

νe)

[%

]

∆m2

13 > 0

∆m2

13 < 0

EJHF = 0.8 GeV

ENuMI = 1.5 GeV

õ3ᥢ_Þfð¨Þ6â�é=ä%ì änæ*÷ é=á�ð¨Þ7ð¨î«ï¹éëá¦å¥¦e¦;¦ � Þ6â�é=ä änæ­õ3çë䣢8ágåñô� �:� �§ ¨ � �:� �§ © ª¬« ­ �V® ¯ °�±��²�V³{´¬�3µ ¯ � ­ �N® ¶°O±·�²�V³{´¬�3µ ¶¸ �%�º¹ª� » ¼9½ ¾V¿qÀÂÁ Ã Ä ÅÆ Xgh Ç ÈºÉ�ÊÌË Æ XghÅ ÍÏÎ Ð7Ñ�ÒÓ É·ÔfÉ�ÊYÉ·Ô Ð È Ò3Õ7Õ×Ö Ð Ô=È ¹ª� Ò3ÑOÐ Ô/Ø ¼�Ù%� È ¹$ÀÌÚÜÛ Ô=ÈÝÊ Ð É·Ô É ÚÞ½ ¾B¿ ¼àß�À�áâ ã Ûfäæå ÕrÒ ¹ Ø �ç¹ ÑYÕ É ä"�'¹ Ò Ê Ð Ééè â ê Ûfäæå Ñ Ó Ò3Õ7Õ �ç¹ ÑYÕ É ä"�'¹ Ò Ê Ð É á � é óXâ¨ï änæ ÿ ágìjîCéëç å ���

����� �� � �I��� �� ��� �Þ6â å�Þ½ò á Ë·ë ì Í ãÄá ï�Þ�ùÁá Þnì é£ó¹á¦ì%â�é�â�ß ���� �� í �I��� ��é ò ¢jçëé=á¦å å^ò Þfçëç(ã é óÀâ®ï þ

Page 26: l R'OK0A`Zonline.kitp.ucsb.edu/online/neutrino-c03/parke/pdf/Parke.pdf · Î Ï ÐÒÑ4ÓÕÔÂÖ × ÏØÔÂÙ Ú0Û Ü u Q'A a%KNI uÝZ Z~KNw @

0

1

2

3

4

5

6

∆m2

13 > 0

∆m2

13 < 0

0 1 2 3 4 50

1

2

3

4

5

0 1 2 3 4 5 6

JHF P(νµ→νe) [%]

NuM

I P(ν

µ→ν e)

[%

]

JHF neutrino vs. NuMI neutrino

ENuMI = 1.5 GeVEJHF = 0.6 GeVENuMI = 2.0 GeV

ENuMI = 1.5 GeVEJHF = 0.8 GeV

(a) (b)

EJHF = 0.8 GeVENuMI = 2.0 GeV

(c) (d)

EJHF = 0.6 GeV

õ3ᥢ_Þfð¨Þ6â�é=ä%ì ¢NðêägùÀé óNá¦ó Ëoë ì Í ¯ïî�ð ñ ò Ëoë ì Í ¶oó�ô �\á¦å�â õ3ᥢ.Þ7ð¨Þ6â�é=ä%ì Þ6â � åêîCé=çëç£Þ6â�é=ä%ì û ÞAý¹é ò èjò

Page 27: l R'OK0A`Zonline.kitp.ucsb.edu/online/neutrino-c03/parke/pdf/Parke.pdf · Î Ï ÐÒÑ4ÓÕÔÂÖ × ÏØÔÂÙ Ú0Û Ü u Q'A a%KNI uÝZ Z~KNw @

�Lä%ìõ�ná�ð'�SÞ½åPá�ç=é£ì¹á æ ä½ðSú èNû ü

0

1

2

3

4

5

6

∆m2

13 > 0

∆m2

13 < 0

0 1 2 3 4 50

1

2

3

4

5

0 1 2 3 4 5 6

JHF P(νµ→νe) [%]

NuM

I P(ν

µ→ν e)

[%

]

JHF (L=295 km) neutrino vs. NuMI (L=915 km) neutrino

ENuMI = 1.875 GeVEJHF = 0.6 GeVENuMI = 2.5 GeV

ENuMI = 1.875 GeVEJHF = 0.8 GeV

(a) (b)

EJHF = 0.8 GeVENuMI = 2.5 GeV

(c) (d)

EJHF = 0.6 GeV

�\áCâ^âêá�ð åPᥢ.Þ7ð¨Þ6â�é=ä%ì Þ6â å�Þ½ò á � öo�lþ÷ ér�%ïNáñð � �nä3äXóÞ÷õ�*Þ7ðø�náñð � à.Þ½ó æ ä½ð å�â®Þ6â�é å�âêé î�åñþ

Page 28: l R'OK0A`Zonline.kitp.ucsb.edu/online/neutrino-c03/parke/pdf/Parke.pdf · Î Ï ÐÒÑ4ÓÕÔÂÖ × ÏØÔÂÙ Ú0Û Ü u Q'A a%KNI uÝZ Z~KNw @

� � �� Þ6â Þ �RäÁìõ�náñðù�SÞ½åíá�ç=é£ì¹á ú è¹û ü

0 1 2 3 4 5 6NuMI P(νµ → νe) [%]

0

1

2

3

4

5

6

NuM

I P(ν

µ →

νe)

[%

]

L = 915 km, E = 1.875 GeV

∆m2

13 > 0

∆m2

13 < 0

0.02

0.09

0.05 = sin22θ13

÷ éëáñð®Þ7ð�î}ï%ß åíáú¢_Þ7ð®Þ6âêéëä%ì �nä3äÀó àFèÀâ ú � û�%è�Þfð¨Þ½ì%â�á�ágó þ

Page 29: l R'OK0A`Zonline.kitp.ucsb.edu/online/neutrino-c03/parke/pdf/Parke.pdf · Î Ï ÐÒÑ4ÓÕÔÂÖ × ÏØÔÂÙ Ú0Û Ü u Q'A a%KNI uÝZ Z~KNw @

0

1

2

3

4

5

6

∆m2

13 > 0

∆m2

13 < 0

0 1 2 3 4 50

1

2

3

4

5

0 1 2 3 4 5 6

JHF P(νµ→νe) [%]

NuM

I P(ν

µ→ν e)

[%]

∆θ/θ [%] for positive and negative ∆m2

13

JHF neutrino vs. NuMI anti−neutrino

0.5 0.3

0.3

(d)

0.7

−0.3

−0.3−0.5

3

3

−0.7

5

(a)

EJHF = 0.6 GeVENuMI = 1.5 GeV

EJHF = 0.6 GeVENuMI = 2.0 GeV

(b)

3

3

5

7

7

−3

5

−3

−5

−7

−3

−3−5

−7

58

−10

10

−5

−5

−8

ENuMI = 2.0 GeVEJHF = 0.8 GeV

(c)

ENuMI = 1.5 GeVEJHF = 0.8 GeV

sin22θ13 = 0.09

0.05

0.02

0

1

2

3

4

5

6

∆m2

atm > 0

∆m2

atm < 0

0 1 2 3 4 50

1

2

3

4

5

0 1 2 3 4 5 6

JHF P(νµ→νe) [%]

NuM

I P(ν

µ→ν e)

[%]

∆θ/θ (%) for positive and negative ∆m2

13

JHF neutrino vs. NuMI neutrino

ENuMI = 1.5 GeVEJHF = 0.6 GeVENuMI = 2.0 GeV

ENuMI = 1.5 GeVEJHF = 0.8 GeV

(a) (b)

EJHF = 0.8 GeVENuMI = 2.0 GeV

(c) (d)

50

40

30

35

25

50

40

35

30

25

EJHF = 0.6 GeV

30

25

40

20

40

4030

25

20

40

4030

25

20

30

25

20

30

25

20

30

25

20

25

Page 30: l R'OK0A`Zonline.kitp.ucsb.edu/online/neutrino-c03/parke/pdf/Parke.pdf · Î Ï ÐÒÑ4ÓÕÔÂÖ × ÏØÔÂÙ Ú0Û Ü u Q'A a%KNI uÝZ Z~KNw @

ü % #�*õýþ. ÿ'#�* (�ý�+$% ý 0

0 1 2 3 4 5 6JHF P(νµ → νe) (%)

0

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uMI P

(νµ →

νe)

[%

]

∆m2

13 > 0

∆m2

13 < 0

ENuMI = 1.5 GeVEJHF = 0.6 GeV

w/o av.

av. (20%)

1

0 1 2 3 4 5 6JHF P(νµ → νe) [%]

0

1

2

3

4

5

6

Nu

MI P

(νµ

→ ν

e) [

%]

∆m2

13 > 0

∆m2

13 < 0

EJHF = 0.8 GeV

ENuMI = 1.5 GeV

w/o av.

av. (20%)

2

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